Mattesi, V., Darbas, M., & Geuzaine, C. (2019). A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems.

*Computers and Mathematics with Applications, 77*(6), 1703-1721.Peer reviewed (verified by ORBi)

In this paper, we are concerned with the construction of a new high-order Absorbing Boundary Condition (ABC) for 2D-elastic scattering problems. It is defined by an approximate local Dirichlet-to-Neumann (DtN ...

Fagnard, J.-F., Gajdowski, C., Boilet, L., Henrotte, F., Geuzaine, C., & Vanderbemden, P. (2019, March).

*In situ measurements of partial discharge patterns on porous YSZ pellets pressed between planar platinum electrodes used for flash sintering*. Poster session presented at Electric Field Enhanced Processing of Advanced Materials II: Complexities and Opportunities, Tomar, Portugal.Flash sintering of prismatic or cylindrical samples placed between planar electrodes allows processing larger volumes of material, compared to dogbone-shaped samples. The contact surface with platinum ...

Jacques, K. (2018).

*Energy-Based Magnetic Hysteresis Models - Theoretical Development and Finite Element Formulations*. Unpublished doctoral thesis, Université de Liège, Liège, Belgique.This work focuses on the development of a highly accurate energy-based hysteresis
model for the modeling of magnetic hysteresis phenomena. The model relies on an
explicit representation of the magnetic ...

Burger, L., Geuzaine, C., Henrotte, F., & Vanderheyden, B. (2018, June 28).

*Numerical simulations of the penetration of magnetic field in a superconducting film : H-phi formulation with shell-transformation techniques*. Poster session presented at HTS Modelling 2018, 6th International Workshop on Numerical Modelling of HTS, Costa de Caparica, Portugal.We consider the Finite Element Method (FEM) to solve numerically the problem of the penetration
of magnetic field applied perpendicularly to a superconducting thin film. Although theoretical
boundary ...

Caudron, B. (2018).

*Couplages FEM-BEM faibles et optimisés pour des problèmes de diffraction harmoniques en acoustique et en électromagnétisme*. Unpublished doctoral thesis, Université de Liège, Liège, Belgique.In this doctoral dissertation, we propose new methods for solving acoustic and electromagnetic three-dimensional harmonic scattering problems for which the scatterer is penetrable and inhomogeneous. The ...

Jacques, K., Henrotte, F., Geuzaine, C., & Gyselinck, J. (2018, April 12).

*Improved Energy-Based Hysteresis Model and Parameter Identification for Magnetic Hysteresis Materials*. Paper presented at The 11th International Symposium on Electric and Magnetic Fields (EMF 2018), Daarmstadt, Germany.Peer reviewed

This paper aims first to clarify the transition between the thermodynamic balance
from the mesoscale, at the scale of one cell, to the macroscale, at the homogenized
level. Actually this homogenization can ...

Velasco, J., Spirlet, M., Geuzaine, C., & Henrotte, F. (2018, April 11).

*Three-dimensional modeling of multilayer busbar incorporating domains of lesser dimension*. Poster session presented at 11th International Symposium on Electric and Magnetic Fields, EMF 2018.This paper describes the efficient modeling of a three-dimensional busbar, starting
from a time-harmonic full-wave finite-element model, modifying the formulation to
account for the skin effect, avoiding the ...

Spirlet, M. (2018).

*Correction of Electromagnetic Measurements and Active Shaping of Electromagnetic Fields in Complex and Reverberating Environments*. Unpublished doctoral thesis, Université de Liège, Liège, Belgique.With the growing number of wireless devices and connected objects, the level of electromagnetic noise could reach unprecedented levels, potentially leading to malfunctions. In order to limit this effect, it is ...

Halbach, A., & Geuzaine, C. (2018). Steady-State, Nonlinear Analysis of Large Arrays of Electrically Actuated Micromembranes Vibrating in a Fluid.

*Engineering with Computers*.Peer reviewed (verified by ORBi)

This paper describes a robust and efficient method to
obtain the steady-state, nonlinear behaviour of large arrays of electrically
actuated micromembranes vibrating in a fluid. The nonlinear ...

Jacques, K., Steentjes, S., Henrotte, F., Geuzaine, C., & Hameyer, K. (2018). Representation of microstructural features and magnetic anisotropy of electrical steels in an energy-based vector hysteresis model.

*AIP Advances, 8*(4).Peer reviewed (verified by ORBi)

This paper demonstrates how the statistical distribution of pinning fields in a ferromagnetic material can be identified systematically from standard magnetic measurements, Epstein frame or Single Sheet Tester ...

Niyonzima, I., Sabariego, R. V., Dular, P., Jacques, K., & Geuzaine, C. (2018). Multiscale finite element modeling of nonlinear magnetoquasistatic problems using magnetic induction conforming formulations.

*Multiscale Modeling and Simulation, 16*(1), 300-326.Peer reviewed (verified by ORBi)

In this paper we develop magnetic induction conforming multiscale formulations for magnetoquasistatic problems involving periodic materials. The formulations are derived using the periodic homogenization ...

Homsi, L., Geuzaine, C., & Noels, L. (2017). A coupled electro-thermal Discontinuous Galerkin method.

*Journal of Computational Physics, 348*, 231-258.Peer reviewed (verified by ORBi)

This paper presents a Discontinuous Galerkin scheme in order to solve the nonlinear elliptic partial differential equations of coupled electro-thermal problems. In this paper we discuss the fundamental ...

Jacques, K., Henrotte, F., Gyselinck, J., Sabariego, R. V., & Geuzaine, C. (2017, September 06).

*Comparison between The Energy-Based Hysteresis Model and The Jiles-Atherton Model in Finite Element Simulations*. Paper presented at The 18th International Symposium on Applied Electromagnetics and Mechanics, Chamonix, Mont-Blanc, France.Peer reviewed

This paper focuses on ferromagnetic hysteresis phenomena, a crucial point in the evaluation of iron losses in the modelling of electromagnetic devices. The Energy-Based hysteresis model appears as a convenient ...

Spirlet, M., Geuzaine, C., & Beauvois, V. (2017). Experimental Correction of Radiation Patterns Between Electromagnetic Environments.

*IEEE Transactions on Antennas and Propagation, 65*(03).Peer reviewed (verified by ORBi)

This manuscript presents an experimental method to estimate a radiation pattern obtained in a particular echoic environment (for example from in-situ measurements) as if measurements were performed in a given ...

Kuci, E., Henrotte, F., Duysinx, P., & Geuzaine, C. (2017). Design sensitivity analysis for shape optimization based on the Lie derivative.

*Computer Methods in Applied Mechanics and Engineering*.Peer reviewed (verified by ORBi)

Abstract The paper presents a theoretical framework for the shape sensitivity analysis of systems governed by partial differential equations. The proposed approach, based on geometrical concepts borrowed from ...

Kuci, E., Henrotte, F., Duysinx, P., & Geuzaine, C. (2017). Shape and Topology Optimization of Electrical Machines using Lie Derivative-Based Analytical Sensitivity Analysis.

*2016 IEEE Conference on Electromagnetic Field Computation (CEFC)*.Peer reviewed

The paper addresses the optimal design of electric machines, through the general setting of both shape and topology optimization. The optimization problems are efficiently solved with a classical gradient ...

Jacques, K., Dular, P., Geuzaine, C., & Gyselinck, J. (2016, November 16).

*Dual Magnetodynamic Finite Element Formulations with Inclusion of an Energy-Based Hysteresis Model*. Paper presented at 17th Biennal Conference on Electromagnetic Field Computations, Miami, FL, United States.Peer reviewed

This paper studies dual magnetodynamic 2D finite
element h - phi and a - v formulations including an energy-based
hysteresis model. These formulations use unknowns directly
associated with the magnetic ...

Johnen, A., Geuzaine, C., Toulorge, T., & Remacle, J.-F. (2016). Efficient Computation of the Minimum of Shape Quality Measures on Curvilinear Finite Elements.

*Procedia Engineering, 163*, 328–339.Peer reviewed (verified by ORBi)

We present a method for computing robust shape quality measures defined for any order of finite elements. All type of elements are considered, including pyramids. The measures are defined as the minimum of the ...

Guérin, C., Jacques, K., Vazquez Sabariego, R., Dular, P., Geuzaine, C., & Gyselinck, J. (2016, October). Using a Jiles‐Atherton vector hysteresis model for isotropic magnetic materials with the finite element method, Newton‐Raphson method, and relaxation procedure.

*International Journal of Numerical Modelling: Electronic Networks, Devices and Fields*, 1-12.Peer reviewed (verified by ORBi)

This paper deals with the use of a Jiles‐Ather ton vector hysteresis model included in 2D finite element modeling. The hysteresis model is only valid for isotropic materials. It is implemented with the vector ...

Plumier, F., Aristidou, P., Geuzaine, C., & Van Cutsem, T. (2016). Co-simulation of Electromagnetic Transients and Phasor Models: a Relaxation Approach.

*IEEE Transactions on Power Delivery, 31*(5).Peer reviewed (verified by ORBi)

Co-simulation opens new opportunities to combine mature ElectroMagnetic Transients (EMT) and Phasor-Mode (PM) solvers, and take advantage of their respective high accuracy and execution speed. In this paper, a ...

Jacques, K., Geuzaine, C., Henrotte, F., & Gyselinck, J. (2016). Comparison between differential and variational forms of an energy-based hysteresis model.

*2016 IEEE International Energy Conference (ENERGYCON)*(pp. 1-6).Peer reviewed

This paper compares two implementations of an energy-based ferromagnetic hysteresis model for finite element computations. The first implementation is an approximated explicit solution of the non-linear ...

Spirlet, M., Geuzaine, C., & Beauvois, V. (2016, July 11).

*Estimation of semi-anechoic chamber radiation patterns from in-situ measurements using the angular responses of the environment*. Paper presented at 18th International Symposium on ElectroMagnetic Compatibility (CEM 2016), Rennes, France.This paper presents an experimental method to estimate a radiation pattern obtained in a particular echoic environment (for example from in-situ measurements) as if measurements were performed in a given (semi ...

Jacques, K., Geuzaine, C., Henrotte, F., & Gyselinck, J. (2016, July).

*Comparison Between Differential and Variational Forms of an Energy-Based Hysteresis Model*. Paper presented at Kevin Jacques, Leuven, Belgique.Peer reviewed

This paper compares two implementations of an energy-based ferromagnetic hysteresis model for finite element computations. The first implementation is an approximated explicit solution of the non-linear ...

Homsi, L., Geuzaine, C., & Noels, L. (2016). Numerical Properties of a Discontinuous Galerkin formulation for electro-thermal coupled problems. In M., Papadrakakis, V., Papadopoulos, G., Stefanou, & V., Plevris (Eds.),

*Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering, Crete Island, Greece, 5–10 June 2016*(pp. 8).Discontinuous Galerkin (DG) methods are attractive tools to integrate several PDEs in engineering sciences, due to their high order accuracy and their high scalability in parallel simulations. The main ...

Johnen, A., Geuzaine, C., & remacle, J.-F. (2016, June).

*Efficient Computation of the Extrema of Algebraic Quality Measures for Curvilinear Finite Elements*. Paper presented at VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2016), Hersonissos, Crete, Greece.Peer reviewed

The development of high-order computational methods for solving partial differential equations on unstructured grids has been underway for many years. Such methods critically depend on the availability of high ...

Halbach, A., & Geuzaine, C. (2016). Automatic derivation of multiharmonic formulations for nonlinear electromechanical problems with time dependent mesh deformation.

*17th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE)*.Peer reviewed

This paper describes a method to automatically derive multiharmonic finite element formulations for coupled, nonlinear electromechanical problems. It focuses on models of electrically actuated micromembranes ...

Halbach, A., Dular, P., & Geuzaine, C. (2016). Comparison of Nonlinear Domain Decomposition Schemes for Coupled Electromechanical Problems.

*IEEE Transactions on Magnetics, 52*(3).Peer reviewed (verified by ORBi)

The aim of this paper is to compare several domain decomposition schemes for nonlinear, coupled electromechanical problems. Both staggered and monolithic electrostatic/elastic formulations are considered for ...

Jacques, K., Sabariego, R. V., Geuzaine, C., & Gyselinck, J. (2016). Inclusion of a Direct and Inverse Energy-Consistent Hysteresis Model in Dual Magnetostatic Finite-Element Formulations.

*IEEE Transactions on Magnetics, 52*(3), 1-4.Peer reviewed (verified by ORBi)

This paper deals with the implementation of an energy-consistent ferromagnetic hysteresis model in 2-D finite-element computations. This vector hysteresis model relies on a strong thermodynamic foundation and ...

Kuci, E., Henrotte, F., Duysinx, P., Dular, P., & Geuzaine, C. (2016). Design Sensitivity Analysis for Shape Optimization of Nonlinear Magnetostatic Systems.

*IEEE Transactions on Magnetics, 52*(3).Peer reviewed (verified by ORBi)

The paper discusses the sensitivity analysis for the shape optimization of a nonlinear magnetostatic system, evaluated both by direct and adjoint approaches. The calculations rely on the Lie derivative concept ...

Johnen, A. (2016).

*Indirect quadrangular mesh generation and validation of curved finite elements*. Unpublished doctoral thesis, Université de Liège, Liège, Belgique.Among the different types of 3D finite element meshes, hexahedral meshes present properties that can be highly desirable, such as alignment with physical features or a lower computational cost. For this reason ...

Plumier, F. (2016).

*Co-simulation of Electromagnetic Transients and Phasor Models of Electric Power Systems*. Unpublished doctoral thesis, Université de Liège, Liège, Belgique.This study investigates and improves methods used for the combination of phasor and electromagnetic transients time domain simulations of power systems. It involves the study of the protocols of computation ...

Marsic, N., Waltz, C., Lee, J.-F., & Geuzaine, C. (2016). Domain Decomposition Methods for Time-Harmonic Electromagnetic Waves with High Order Whitney Forms.

*IEEE Transactions on Magnetics, 52*(3).Peer reviewed (verified by ORBi)

Classically, domain decomposition methods (DDM) for time-harmonic electromagnetic wave propagation problems make use of the standard, low order, Nédélec basis functions. This paper analyzes the convergence ...

Johnen, A., Ernst, D., & Geuzaine, C. (2015). Sequential decision-making approach for quadrangular mesh generation.

*Engineering with Computers, 31*(4), 729-735.Peer reviewed (verified by ORBi)

A new indirect quadrangular mesh generation algorithm which relies on sequential decision-making techniques to search for optimal triangle recombinations is presented. In contrast to the state-of-art Blossom ...

De Grève, Z., Dular, P., Sabariego, R. V., & Geuzaine, C. (2015). Finite element models for studying the capacitive behaviour of wound components.

*Proceedings of COMPUMAG 2015*(pp. 2).Peer reviewed

Finite element models of increasing accuracy are proposed for the study of the capacitive behaviour of wound magnetic components. Simple models, which are based on the classical assumption of a decoupling ...

Guérin, C., Jacques, K., Sabariego, R. V., Dular, P., Geuzaine, C., & gyselinck, J. (2015). Using a vector Jiles-Atherton hysteresis model for isotropic magnetic materials with the FEM, Newton-Raphson method and relaxation procedure.

*Proceedings of NUMELEC 2015*(pp. 2).Peer reviewed

This paper deals with the use of a vector Jiles- Atherton hysteresis model included in 2D finite element modelling. The Newton-Raphson algorithm is used with a relaxtion procedure, which ensures the ...

Halbach, A., Dular, P., & Geuzaine, C. (2015). Comparison of Nonlinear Domain Decomposition Schemes for Coupled Electromechanical Problems.

*Proceedings of COMPUMAG 2015*(pp. 2).Peer reviewed

The aim of this paper is to compare several domain decomposition schemes for nonlinear, coupled electromechanical problems. Both staggered and monolithic electrostatic/elastic formulations are combined with an ...

Jacques, K., Sabariego, R. V., Geuzaine, C., & Gyselinck, J. (2015, June).

*Inclusion of a Direct and Inverse Energy-Consistent Hysteresis Model in Dual Magnetostatic Finite-Element Formulations*. Poster session presented at 20th International Conference on the Computation of Electromagnetic Fields COMPUMAG 2015, Montreal, Canada.Peer reviewed

This paper deals with the implementation of an energy-consistent ferromagnetic hysteresis model in 2D finite element computations.
This vector hysteresis model relies on a strong thermodynamic foundation and ...

Kuci, E., Duysinx, P., Dular, P., & Geuzaine, C. (2015). Design Sensitivity Analysis for Shape Optimization of Nonlinear Magnetostatic Systems.

*Proceedings of COMPUMAG 2015*(pp. 2).Peer reviewed

In this paper, a direct and an adjoint analytic sensitivity analysis for a nonlinear magnetostatic system is obtained, in the context of shape optimization for any design function. The calculations are based ...

Paquay, Y., Bruls, O., & Geuzaine, C. (2015, June).

*Nonlinear Interpolation on Manifold of Reduced Order Models in Magnetodynamic Problems*. Poster session presented at 20th International Conference on the Computation of Electromagnetic Fields COMPUMAG 2015, Montreal, Canada.Peer reviewed

Proper Orthogonal Decomposition (POD) is an efficient model order reduction technique for linear problems in computational sciences, recently gaining popularity in electromagnetics. However, its efficiency has ...

Paquay, Y., Geuzaine, C., Hasan, M. R., & V. Sabariego, R. (2015, June).

*Reduced Order Model for Accounting for High Frequency Effects in Power Electronic Components*. Poster session presented at 20th International Conference on the Computation of Electromagnetic Fields COMPUMAG 2015, Montreal, Canada.Peer reviewed

This paper proposes a reduced-order model of power electronic components based on the proper orthogonal decomposition. Starting from a full-wave finite-element model and several snapshots/frequencies, the ...

Dular, P., Krähenbühl, L., Ferreira da Luz, M., Kuo-Peng, P., & Geuzaine, C. (2015). Progressive inductor modeling via a finite element subproblem method.

*COMPEL, 34*(3), 851-863.Peer reviewed (verified by ORBi)

Purpose – The purpose of this paper is to develop a subproblem method (SPM) for progressive modeling of inductors, with model refinements of both source conductors and magnetic cores. Design/methodology ...

De Grève, Z., Dular, P., Gyselinck, J., Geuzaine, C., Deblecker, O., & Lobry, J. (2015). Refinement of Homogenized Magnetodynamic Models of Wound Inductors Using Finite-Element Subproblems.

*IEEE Transactions on Magnetics, 51*(3).Peer reviewed (verified by ORBi)

In this paper, a methodology for refining the large-scale solutions obtained by 2-D magnetodynamic homogenized models of high-frequency inductor windings is proposed, based on the subproblem finite-element ...

De Grève, Z., Dular, P., Meunier, G., Geuzaine, C., Deblecker, O., & Lobry, J. (2015). Subproblem Finite-Element Refinement of Homogenized Dielectric Layers in Wound Inductors for Accurate Local Stresses Computation.

*IEEE Transactions on Magnetics, 51*(3).Peer reviewed (verified by ORBi)

Recently, a homogenized model in 2-D electrostatics has been proposed in order to avoid the meshing of the thin dielectric layers surrounding the conductors of transformers. The model performs a smoothing of ...

Dular, P., Péron, V., Krähenbühl, L., & Geuzaine, C. (2015). Subproblem Finite-Element Refinement of Inductors From Wire to Static and Dynamic Volume Models.

*IEEE Transactions on Magnetics, 51*(3).Peer reviewed (verified by ORBi)

Progressive refinements of inductors are done with a subproblem method, from their wire or filament representations with Biot–Savart models up to their volume finite-element models, from statics to dynamics ...

Marsic, N., & Geuzaine, C. (2015). Efficient finite element assembly of high order Whitney forms.

*IET Science, Measurement and Technology, 9*(2), 204-210.Peer reviewed (verified by ORBi)

This study presents an efficient method for the finite element assembly of high order Whitney elements. The authors start by reviewing the classical assembly technique and by highlighting the most time ...

Marsic, N., Vion, A., & Geuzaine, C. (2015).

*Computational advances in quasi-optimal domain decomposition methods for time-harmonic electromagnetic wave problems*. Paper presented at The 23rd International Conference on Domain Decomposition Methods (DD23), Jeju, Korea.Peer reviewed

In this talk we will present recent advances in the construction of quasi-optimal domain decomposition methods for time-harmonic electromagnetic wave problems. In particular, we will discuss the parallel ...

Vion, A. (2014).

*Multi-Domain Approaches for the Solution of High-Frequency Time-Harmonic Propagation Problems*. Unpublished doctoral thesis, Université de Liège, Liège, Belgique.The numerical solution of high-frequency time-harmonic propagation problems by volumic discretization methods is a challenging task, most notably because of the very large size of the resulting linear systems ...

Ziegler, E., Chellappa, S. L., Gaggioni, G., Ly, J., Vandewalle, G., André, E., Geuzaine, C.* , & Phillips, C.* . (2014). A finite-element reciprocity solution for EEG forward modeling with realistic individual head models.

*NeuroImage, 103*, 542-551.Peer reviewed (verified by ORBi)

Highlights
• Creates EEG forward models suitable for high-resolution source localization.
• Automatic T1-based whole-head finite element meshing and leadfield computation.
• Pipelines can incorporate ...

* These authors have contributed equally to this work.

Niyonzima, I. (2014).

*Multiscale Finite Element Modeling of Nonlinear Quasistatic Electromagnetic Problems*. Unpublished doctoral thesis, Université de Liège, Liège, Belgique.The effective use of composite materials in the technology industry requires the development of accurate models. Typical such materials in electrotechnical applications are lamination stacks and soft magnetic ...

Modave, A., Delhez, E., & Geuzaine, C. (2014). Optimizing Perfectly Matched Layers in Discrete Contexts.

*International Journal for Numerical Methods in Engineering, 99*(6), 410–437.Peer reviewed (verified by ORBi)

Perfectly Matched Layers (PMLs) are widely used for the numerical simulation of wave-like problems defined on large or infinite spatial domains. However, for both the time-dependent and the time-harmonic cases ...

Plumier, F., Aristidou, P., Geuzaine, C., & Van Cutsem, T. (2014). A relaxation scheme to combine Phasor-Mode and Electromagnetic Transients Simulations.

*Proceedings of the 18th Power System Computation Conference*.Peer reviewed

This paper deals with a new scheme for coupling phasor-mode and electromagnetic transients simulations. In each simulation, an iteratively updated linear equivalent is used to represent the effect of the ...

Dular, P., Krähenbühl, L., & Geuzaine, C. (2014). Progressive inductor modeling via a finite element subproblem method.

*Proceedings of EPNC 2014 - Electromagnetic phenomena in nonlinear circuits*(pp. 2).Peer reviewed

The modeling of inductors is split into a sequence of progressive finite element subproblems. The source fields generated by the coil conductors alone, with a wire representation, are calculated at first via ...

Dular, P., Krähenbühl, L., & Geuzaine, C. (2014). Progressive inductor modeling via a finite element subproblem method.

*Proceedings of EPNC 2014 - Electromagnetic phenomena in nonlinear circuits*(pp. 2).Peer reviewed

The modeling of inductors is split into a sequence of progressive finite element subproblems. The source fields generated by the coil conductors alone, with a wire representation, are calculated at first via ...

Plumier, F., Geuzaine, C., & Van Cutsem, T. (2014). On the convergence of relaxation schemes to couple phasor-mode and electromagnetic transients simulations.

*Proceedings of the IEEE PES General Meeting*.Peer reviewed

Hybrid simulations combining phasor-mode and electromagnetic transients models aim at taking advantage of computational speed of the former and accuracy of the latter. For simulation accuracy, a relaxation ...

Boubekeur, M., Kameni, A., Pichon, L., Modave, A., & Geuzaine, C. (2014). Analysis of transient scattering problems using a discontinuous Galerkin method: application to the shielding effectiveness of enclosures with heterogeneous walls.

*International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 27*(3), 626-635.Peer reviewed

In this paper, different formulations of Maxwell equations are combined for computing the shielding effectiveness of enclosures made from heterogeneous periodic materials. The validity of the homogenized ...

Nshimiyimana, J. D. D., Plumier, F., Dular, P., & Geuzaine, C. (2014). Optimized Waveform Relaxation Methods for Modeling Electromagnetic Field-Circuit Problems.

*Proceedings of Sixteenth Biennal IEEE Conference on Electromagnetic Field Computation*.Peer reviewed

The convergence of classical and optimized waveform relaxation methods is compared for the simulation of field-circuit problems, where a finite element solver is used for the solution of the field problem and ...

Dular, P., Péron, V., Perrussel, R., Krähenbühl, L., & Geuzaine, C. (2014). Perfect Conductor and Impedance Boundary Condition Corrections via a Finite Element Subproblem Method.

*IEEE Transactions on Magnetics, 50*(2).Peer reviewed (verified by ORBi)

A finite element subproblem method is developed to correct the inaccuracies proper to perfect conductor and impedance boundary condition models, particularly near edges and corners of the conductors, for a ...

Niyonzima, I., Sabariego, R. V., Dular, P., & Geuzaine, C. (2014). Nonlinear Computational Homogenization Method for the Evaluation of Eddy Currents in Soft Magnetic Composites.

*IEEE Transactions on Magnetics, 50*(02).Peer reviewed (verified by ORBi)

In this paper, a heterogeneous multiscale method technique is applied to model the behavior of electromagnetic fields in soft magnetic composites (SMC). Two problems are derived from the two-scale ...

Dular, P., Péron, V., Krähenbühl, L., & Geuzaine, C. (2014). Progressive eddy current modeling via a finite element subproblem method.

*International Journal of Applied Electromagnetics and Mechanics, 46*, 341–348.Peer reviewed (verified by ORBi)

The modeling of eddy currents in conductors is split into a sequence of progressive finite element subproblems. The source fields generated by the inductors alone are calculated at first via either the Biot ...

Johnen, A., Remacle, J.-F., & Geuzaine, C. (2014). Geometrical validity of high-order triangular finite elements.

*Engineering with Computers, 30*(3), 375-382.Peer reviewed (verified by ORBi)

This paper presents a method to compute accurate bounds on Jacobian determinants of high-order (curvilinear) triangular finite elements. This method can be used to guarantee that a curvilinear triangle is ...

Kuci, E., Geuzaine, C., Dular, P., & Duysinx, P. (2014). Shape Optimization of Interior Permanent Magnet Motor for Torque Ripple Reduction.

*Proceedings of The 4th International Conference on Engineering Optimization: Lisbon (Portugal), 8-11 September 2014*.Peer reviewed

The objective of the paper is to present an open source environment to perform the design, simulation (Gmsh, GetDP) and optimization (OpenOpt) of electrical machines. The design of the permanent magnets of a ...

Marsic, N., & Geuzaine, C. (2014). Efficient finite element assembly of high order Whitney forms.

*IET Conference Proceedings*, 1.08-1.08(1.Peer reviewed

This paper presents an efficient method for the finite element assembly of high order Whitney elements. We start by reviewing the classical assembly technique and by highlighting the most time consuming part ...

Marsic, N., & Geuzaine, C. (2014).

*Parallel Finite Element Assembly of High Order Whitney Forms*. Paper presented at The 16th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2014), Annecy, France.Peer reviewed

This paper presents an efficient method for the finite element assembly of high order Whitney elements. We start by reviewing the classical assembly technique and by highlighting the most time consuming part ...

Marsic, N., & Geuzaine, C. (2014).

*Parallel Finite Element Assembly of High Order Whitney Forms*. Paper presented at The 6th International Conference on Advanced Computational Methods in Engineering (ACOMEN 2014), Ghent, Belgium.Peer reviewed

This paper presents an efficient method for the finite element assembly of high order Whitney elements. We start by highlighting the most time consuming parts of the classical assembly technique. This approach ...

Kameni, A., Modave, A., Boubekeur, M., Preault, V., Pichon, L., & Geuzaine, C. (2013). Evaluation of shielding effectiveness of composite wall with a time domain discontinuous Galerkin method.

*European Physical Journal: Applied Physics, 64*(2), 24508.Peer reviewed (verified by ORBi)

This article presents a Time Domain Discontinuous Galerkin method applied for solving the conservative form of Maxwell equations and computing the radiated fields in electromagnetic compatibility problems. The ...

Modave, A., Kameni, A., Lambrechts, J., Delhez, E., Pichon, L., & Geuzaine, C. (2013). An optimum PML for scattering problems in the time domain.

*European Physical Journal: Applied Physics, 64*(2), 24502.Peer reviewed (verified by ORBi)

In electromagnetic compatibility, scattering problems are defined in an infinite spatial domain, while numerical techniques such as finite element methods require a computational domain that is bounded. The ...

Modave, A. (2013).

*Absorbing Layers for Wave-Like Time-Dependent Problems - Design, Discretization and Optimization*. Unpublished doctoral thesis, Université de Liège, Liège, Belgique.The numerical simulation of wave-like phenomena occurring in large or infinite domains is a great challenge for a wide range of technological and scientifical problems. A classical way consists in considering ...

Spirlet, M., Broun, V., Camus, P., Geuzaine, C., Beauvois, V., & Molenberg, I. (2013, September).

*Modelling Time Reversal Applications in a Reverberation Chamber using the Current Image Method*. Paper presented at EMC EUROPE 2013, Bruges, Belgique.Peer reviewed

In this paper, we present a numerical model to analyze Time Reversal applications in a reverberation chamber using the current image method. The principles behind this numerical model are presented in the ...

Vion, A., & Geuzaine, C. (2013). Double sweep preconditioner for Schwarz methods applied to the Helmholtz equation.

*Proceedings of the 22nd International Conference on Domain Decomposition Methods*.Peer reviewed

Observing that the optimized Schwarz algorithm is equivalent to the solution of a linear system, we design a new preconditioner as an approximate inverse of the iteration operator, in the particular case of a ...

Dang, Q. V., Dular, P., Vazquez Sabariego, R., Krähenbühl, L., & Geuzaine, C. (2013). Subproblem Approach for Modeling Multiply Connected Thin Regions with an h-Conformal Magnetodynamic Finite Element Formulation.

*European Physical Journal: Applied Physics, 64*(2), 24516-1-7.Peer reviewed (verified by ORBi)

A subproblem h-conformal eddy current nite element method is proposed for correcting the inaccuracies inherent to thin shell models. Such models replace volume thin regions by surfaces but neglect border e ...

François-Lavet, V., Henrotte, F., Stainier, L., Noels, L., & Geuzaine, C. (2013). An Energy-Based Variational Model of Ferromagnetic Hysteresis for Finite Element Computations.

*Journal of Computational and Applied Mathematics, 246*, 243–250.Peer reviewed (verified by ORBi)

This paper proposes a macroscopic model for ferromagnetic hysteresis that is well-suited for finite element implementation. The model is readily vectorial and relies on a consistent thermodynamic formulation ...

Niyonzima, I., Sabariego, R. V., Dular, P., & Geuzaine, C. (2013). Nonlinear Computational Homogenization Method for the Evaluation of Eddy Currents in Soft Magnetic Composites.

*Proceedings of the 19th Conference on the Computation of Electromagnetic Fields (COMPUMAG2013)*.Peer reviewed

In this paper, a heterogeneous multiscale method (HMM) technique is applied to model the behaviour of electromagnetic fields in soft magnetic composites (SMC). Two problems are derived from the two-scale ...

Plumier, F., Geuzaine, C., & Van Cutsem, T. (2013). A multirate approach to combine electromagnetic transients and fundamental-frequency simulations.

*Proc. 10th International Conference on Power System Transients*.Peer reviewed

Abstract--- A new multi-rate technique is proposed to combine fundamental-frequency simulation (typical of stability studies) with electromagnetic transients simulation. The objective of this hybrid approach ...

Dang, Q. V. (2013).

*Modeling of Electromagnetic Systems by Coupling of Subproblems – Application to Thin Shell Finite Element Magnetic Models*. Unpublished doctoral thesis, University of Liege, Liège, Belgium.The direct application of the finite element method to realistic electromagnetic problems is challenging, especially when modeling structures with thin conductive and/or magnetic parts. This work presents a ...

Modave, A., Lambrechts, J., Delhez, E., & Geuzaine, C. (2013). A PML for convex truncated domains in time-dependent acoustics with a DG-FE discretization.

*Proceedings of the 11th International Conference on Mathematical and Numerical Aspects of Waves (WAVES 2013)*.Peer reviewed

A new perfectly matched layer (PML) is proposed for convex truncated domains in the context of time-dependent acoustics. With this formulation, the size of the computational domain can be reduced when ...

Niyonzima, I., V Sabariego, R., Dular, P., Henrotte, F., & Geuzaine, C. (2013). Computational Homogenization for Laminated Ferromagnetic Cores in Magnetodynamics.

*IEEE Transactions on Magnetics, 49*(5), 2049-2052.Peer reviewed (verified by ORBi)

In this paper, we investigate the modeling of ferromagnetic multiscale materials. We propose a computational homogenization technique based on the heterogeneous multiscale method (HMM) that includes both eddy ...

Johnen, A., Remacle, J.-F., Toulorge, T., Lambrechts, J., & Geuzaine, C. (2013, April 25).

*Computing bounds on the geometrical quality of 2D curvilinear finite elements*. Paper presented at 9th International Symposium on Electric and Magnetic Fields (EMF 2013), Bruges, Belgium.Peer reviewed

The development of high-order computational methods for solving partial differen- tial equations on unstructured grids has been underway for many years. Such meth- ods critically depend on the availability of ...

Modave, A., Geuzaine, C., Boubekeur, M., Pichon, L., & Kameni, A. (2013, April 24).

*Evaluation of Shielding Effectiveness in the Time Domain using a DG Method with an Efficient PML*. Poster session presented at 9th International Symposium on Electric and Magnetic Fields (EMF 2013), Bruges, Belgium.Peer reviewed

Development of new electric and electronic devices leads to an increasing importance for solving electromagnetic compatibility problems. In particular, the optimization of radiated emissions is increasingly ...

Dang, Q. V., Dular, P., Vazquez Sabariego, R., Laurent, K., & Geuzaine, C. (2013). Subproblem h-Conform Formulation for Accurate Thin Shell Models Between Conducting and Nonconducting Regions.

*Proceeding of the 9th International Symposium on Electric and Magnetic Fields, EMF 2013*.Peer reviewed

A subproblem method (SPM) with h-formulation is developed for correcting the inaccuracies near edges and corners that arise from using thin shell (TS) models to replace thin volume regions by surfaces. The ...

Niyonzima, I., Vazquez Sabariego, R., Dular, P., & Geuzaine, C. (2013). A Computational Homogenization Method for the Evaluation of Eddy Current in Nonlinear Soft Magnetic Composites.

*Proceeding of the 9th International Symposium on Electric and Magnetic Fields, EMF 2013*.Peer reviewed

The use of the soft magnetic composite (SMC) in electric devices has increased in recent years. These materials made from a metallic powder compacted with a dielectric binder are a good alternative to ...

Dang, Q. V., Dular, P., Vazquez Sabariego, R., Laurent, K., & Geuzaine, C. (2013). Dual Formulations for Accurate Thin Shell Models in a Finite Element Subproblem Method.

*Proceeding of the 19th COMPUMAG Conference on the Computation of Electromagnetic Fields, 2013*.Peer reviewed

A subproblem finite with dual finite element magnetostatic
and magnetodynamic formulations is developed for
correcting the inaccuracies near edges and corners coming from
thin shell models, that replace ...

Johnen, A., Remacle, J.-F., & Geuzaine, C. (2013). Geometrical validity of curvilinear finite elements.

*Journal of Computational Physics, 233*, 359-372.Peer reviewed (verified by ORBi)

In this paper, we describe a way to compute accurate bounds on Jacobian determinants of curvilinear polynomial finite elements. Our condition enables to guarantee that an element is geometrically valid, i.e ...

Marsic, N., & Geuzaine, C. (2013).

*Parallel Finite Element Assembly with High Order Whitney Elements on Curved Meshes*. Paper presented at The 9th International Symposium on Electric and Magnetic Fields (EMF 2013), Bruges, Belgium.Peer reviewed

There is a growing consensus that state of the art finite element technology requires, and will continue to require too extensive computational resources to provide the necessary resolution for complex high ...

Vion, A., Thierry, B., & Geuzaine, C. (2012, December). Acceleration of the convergence of a non-overlapping domain decomposition method by an approximate deflation technique for high-frequency wave propagation.

*Proceedings of the 15th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2012)*.Peer reviewed

The analysis of a non-overlapping domain decom- position method with optimized transmission conditions, applied to a simplified 1-D problem discretized by finite elements, is performed to better understand the ...

Gyselinck, J., Geuzaine, C., & Vazquez Sabariego, R. (2012). Homogenisation of Windings and Laminations in Time-Domain Finite-Element Modeling of Electrical Machines.

*Proceedings of the 15th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2012)*.Peer reviewed

This paper deals with time-domain homogenisation of multi-turn windings and laminated cores in 2D and 3D finite- element (FE) modelling of rotating electrical machines. Herein the number of additional degrees ...

Niyonzima, I., Vazquez Sabariego, R., Henrotte, F., & Geuzaine, C. (2012). Computational Homogenization for Laminated Ferromagnetic Cores in Magnetodynamics.

*Proceedings of the 15th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2012)*.Peer reviewed

In this paper, we investigate the modeling of fer- romagnetic multiscale materials. We propose a computational homogenization method based on the heterogeneous multiscale method (HMM) that includes eddy ...

Vazquez Sabariego, R., Niyonzima, I., Geuzaine, C., & Gyselinck, J. (2012). Time-domain finite-element modelling of laminated iron cores – Large skin effect homogenization considering the Jiles-Atherton hysteresis model.

*Proceedings of the 15th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2012)*.Peer reviewed

This paper deals with the incorporation of the Jiles- Atherton (J-A) hysteresis model in a time-domain finite-element homogenization technique for laminated iron cores. The separate discretization of each ...

Modave, A., Delhez, E., Kameni, A., Pichon, L., & Geuzaine, C. (2012). An optimum PML for scattering problems in the time domain.

*Proceedings of the 7th European Conference on Numerical Methods in Electromagnetism (NUMELEC 2012)*.Peer reviewed

The Perfectly Matched Layer (PML) is widely used for unbounded problems. However its performances depend critically on an absorption coefficient. This coefficient is generally tuned by using case-dependent ...

Dang, Q. V., Dular, P., Vazquez Sabariego, R., Krahenbuhl, L., & Geuzaine, C. (2012). Subproblem h-Conform Magnetodynamic Finite Element Formulation for Accurate Model of Multiply Connected Thin Regions.

*Proceedings of the 7th European Conference on Numerical Methods in Electromagnetism (NUMELEC 2012)*(pp. 72-73).Peer reviewed

A subproblem $\vh$-conform eddy current finite element method is proposed for correcting the inaccuracies inherent to thin shell models. Such models replace volume thin regions by surfaces but neglect border ...

Niyonzima, I., Vazquez Sabariego, R., Dular, P., Henrotte, F., & Geuzaine, C. (2012). Multiscale Quasistatic Homogenization for Laminated Ferromagnetic Cores.

*Proceedings of the 7th European Conference on Numerical Methods in Electromagnetism (NUMELEC 2012)*(pp. 40-41).Peer reviewed

In this paper, we investigate the modeling of ferromagnetic multiscale materials. We propose a computational homogenization method based on the heterogeneous multiscale method (HMM) with inclusion of a ...

Nguyen, V. D., Béchet, E., Geuzaine, C., & Noels, L. (2012). Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation.

*Computational Materials Science, 55*, 390-406.Peer reviewed (verified by ORBi)

In order to predict the effective properties of heterogeneous materials using the finite element approach, a boundary value problem (BVP) may be defined on a representative volume element (RVE) with ...

Dang, Q. V., Dular, P., Vazquez Sabariego, R., Krahenbuhl, L., & Geuzaine, C. (2012). Subproblem Approach for Thin Shell Dual Finite Element Formulations.

*IEEE Transactions on Magnetics, 48*(2), 407-410.Peer reviewed (verified by ORBi)

A subproblem technique is applied to dual thin shell finite element formulations. Both the magnetic vector potential and magnetic field formulations are considered. The subproblem approach developed herein ...

Dular, P., Krähenbühl, L., Vazquez Sabariego, R., V. Ferreira da Luz, M., Kuo-Peng, P., & Geuzaine, C. (2012). A Finite Element Subproblem Method for Position Change Conductor Systems.

*IEEE Transactions on Magnetics, 48*(2), 403-406.Peer reviewed (verified by ORBi)

Analyses of magnetic systems with position changes of both massive and stranded conductors are performed via a finite element sub- problem method. A complete problem is split into subproblems associated with ...

Remacle, J.-F., Lambrechts, J., Seny, B., Marchandise, E., Johnen, A., & Geuzaine, C. (2012). Blossom-Quad: a non-uniform quadrilateral mesh generator using a minimum cost perfect matching algorithm.

*International Journal for Numerical Methods in Engineering, 89*(9), 1102-1119.Peer reviewed (verified by ORBi)

A new indirect way of producing all-quad meshes is presented. The method takes advantage of a well-known algorithm of the graph theory, namely the Blossom algorithm, that computes the minimum-cost perfect ...

Vazquez Sabariego, R., Geuzaine, C., Dular, P., & Gyselinck, J. (2012). Time-domain surface impedance boundary conditions enhanced by coarse volume finite-element discretisation.

*IEEE Transactions on Magnetics, 48*(2), 631-634.Peer reviewed (verified by ORBi)

In computational magnetodynamics, surface impedance boundary conditions allow to accurately account for high-frequency flux components while removing the massive conducting regions from the computation domain ...

Dular, P., Vazquez Sabariego, R., Krähenbühl, L., & Geuzaine, C. (2012). Magnetic Model Refinement via a Coupling of Finite Element Subproblems.

*Scientific Computing in Electrical Engineering*(pp. 137-141). Berlin Heidelberg, Germany: Springer-Verlag.Peer reviewed

Model refinements of magnetic circuits are performed via a subdomain finite element method. A complete problem is split into subproblems with overlap- ping meshes, to allow a progression from source to ...

Niyonzima, I., V Sabariego, R., Dular, P., & Geuzaine, C. (2012). Finite Element Computational Homogenization of Nonlinear Multiscale Materials in Magnetostatics.

*IEEE Transactions on Magnetics, 48*(2), 587-590.Peer reviewed (verified by ORBi)

The increasing use of composite materials in the technological industry (automotive, aerospace, ...) requires the development of effective models that account for the complexity of the microstructure of these ...

Johnen, A., Remacle, J.-F., & Geuzaine, C. (2011, November 14).

*Efficient evaluation of the geometrical validity of curvilinear finite elements*. Paper presented at Fifth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011), Liège, Belgium.Peer reviewed

The development of high-order numerical techniques on unstructured grids has been underway for many years. The accuracy of these methods strongly depends of the accuracy of the geometrical discretization, and ...

François-Lavet, V., Henrotte, F., Stainier, L., Noels, L., & Geuzaine, C. (2011). Vectorial Incremental Nonconservative Consistent Hysteresis model. In M., Hogge, R., Van Keer, B., Malengier, M., Slodicka, E., Béchet, C., Geuzaine, L., Noels, J.-F., Remacle, & E., Dick (Eds.),

*Proceedings of the 5th International Conference on Advanded COmputational Methods in Engineering (ACOMEN2011)*(pp. 10).Peer reviewed

This paper proposes a macroscopic model for ferromagnetic hysteresis that is well-suited for finite element implementation. The model is readily vectorial and relies on a consistent thermodynamic formulation ...

Nguyen, V. D., Béchet, E., Geuzaine, C., & Noels, L. (2011). Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation. In M., Hogge, R., Van Keer, E., Dick, B., Malengier, M., Slodicka, E., Béchet, C., Geuzaine, L., Noels, & J.-F., Remacle (Eds.),

*Proceedings of the 5th International Conference on Advanded COmputational Methods in Engineering (ACOMEN2011)*(pp. 9).Peer reviewed

In order to predict the effective properties of heterogeneous materials using the finite element
approach, a boundary value problem (BVP) may be defined on a representative volume element
(RVE) with ...

Johnen, A., Remacle, J.-F., & Geuzaine, C. (2011). Geometrical validity of curvilinear finite elements. In Q., William Roshan (Ed.),

*Proceedings of the 20th International Meshing Roundtable*. Springer.Peer reviewed

In this paper, we describe a way to compute accurate bounds on Jacobians of curvilinear finite elements of all kinds. Our condition enables to guarantee that an element is geometrically valid, i.e., that its ...

Becker, G., Geuzaine, C., & Noels, L. (2011). A one Field Full Discontinuous Galerkin Method for Kirchhoff-Love Shells Applied to Fracture Mechanics.

*Computer Methods in Applied Mechanics and Engineering, 200*(45-46), 3223-3241.Peer reviewed (verified by ORBi)

In order to model fracture, the cohesive zone method can be coupled in a very efficient way with the Finite Element method. Nevertheless, there are some drawbacks with the classical insertion of cohesive ...

Dang, Q. V., Dular, P., V Sabariego, R., Ferreira da Luz, M. V., Kuo-Peng, P., Krähenbühl, L., & Geuzaine, C. (2011). Subproblem method with dual finite element formulations for accurate thin shell models.

*Proceedings of the XV International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF2011)*.Peer reviewed

A subproblem method with dual finite element magnetostatic and magnetodynamic formulations is developed to correct the inaccuracies near edges and corners coming from thin shell models, that replace thin ...

Dular, P., Ferreira da Luz, M. V., Kuo-Peng, P., Vazquez Sabariego, R., Krähenbühl, L., & Geuzaine, C. (2011). Subproblem finite element method for magnetic model refinements.

*Proceedings of the XV International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF2011)*.Peer reviewed

Model refinements of magnetic circuits are performed via a subproblem finite element method. A complete problem is split into subproblems with overlapping meshes, to allow a progression from source to reaction ...

Modave, A., Delhez, E., & Geuzaine, C. (2011). On the Parameters of the Perfectly Matched Layer in Discrete Contexts.

*Proceedings of the 10th International Conference on Mathematical and Numerical Aspects of Waves (WAVES 2011)*.Peer reviewed

Perfectly Matched Layer (PML) techniques are widely used for dealing with unbounded problems. However their performance depends critically on both an absorption coefficient and the numerical method. The ...

Modave, A., Delhez, E., & Geuzaine, C. (2011, July 18).

*Optimization of the PML in the Discrete Context for Wave-Like Problems*. Paper presented at 7th International Congress on Industrial and Applied Mathematics (ICIAM 2011), Vancouver, Canada.Peer reviewed

The Perfectly Matched Layer (PML) is widely used for unbounded problems. However its performances depend critically on both an absorption coefficient and the numerical method. The coefficient is generally ...

Dang, Q. V., Dular, P., V Sabariego, R., Krähenbühl, L., & Geuzaine, C. (2011). Subproblem Approach for Thin Shell Dual Finite Element Formulations.

*Proceedings of the 18th Conference on the Computation of Electromagnetic Fields (COMPUMAG2011)*.Peer reviewed

A subproblem technique is applied on dual formu- lations to the solution of thin shell finite element models. Both the magnetic vector potential and magnetic field formulations are considered. The subproblem ...

Dular, P., Krähenbühl, L., V Sabariego, R., Ferreira da Luz, M. V., Kuo-Peng, P., & Geuzaine, C. (2011, July).

*A Finite Element Subproblem Method for Position Change Conductor Systems*.Peer reviewed

Analyses of magnetic circuits with position changes of both massive and stranded conductors are performed via a finite element subproblem method. A complete problem is split into subproblems associated with ...

Dular, P., Dang, Q. V., Vazquez Sabariego, R., Krahenbuhl, L., & Geuzaine, C. (2011). Correction of Thin Shell Finite Element Magnetic Models via a Subproblem Method.

*IEEE Transactions on Magnetics, 47*(5), 1158-1161.Peer reviewed (verified by ORBi)

A subproblem finite-element method is developed for correcting the inaccuracies near edges and corners inherent to thin shell models, for both magnetostatic and magnetodynamic problems. A thin shell solution ...

Dular, P., Krähenbühl, L., V Sabariego, R., Ferreira da Luz, M. V., Kuo-Peng, P., & Geuzaine, C. (2011).

*Refinement of Non-Linear Magnetic Models via a Finite Element Subproblem Method*.Peer reviewed

Model refinements of non-linear magnetic circuits are performed via a finite element subproblem method. A com- plete problem is split into subproblems to allow a progression from 1-D to 3-D including linear to ...

Gaignaire, R., Scorretti, R., V Sabariego, R., & Geuzaine, C. (2011).

*Stochastic Uncertainty Quantification of Eddy Currents in the Human Body by Polynomial Chaos Decomposition*.Peer reviewed

The finite element method can be used to compute the electromagnetic fields induced into the human body by envi- ronmental extremely low frequency fields. However, the electric properties of tissues are not ...

Gyselinck, J., Geuzaine, C., & V Sabariego, R. (2011).

*Considering Laminated Cores and Eddy Currents in 2D and 3D Finite Element Simulation of Electrical Machines*.Peer reviewed

This paper deals with a time-domain homogeniza- tion method for laminated cores and its application to the 2D finite element simulation of rotating electrical machines. The number of additional degrees of ...

Marchandise, E., Carton de Wiart, C., Vos, W., Geuzaine, C., & Remacle, J.-F. (2011). High Quality Surface Remeshing Using Harmonic Maps. Part II: Surfaces with High Genus and of Large Aspect Ratio.

*International Journal for Numerical Methods in Engineering, 86*(11), 1303-1321.Peer reviewed (verified by ORBi)

Niyonzima, I., V Sabariego, R., Dular, P., & Geuzaine, C. (2011). Finite Element Computational Homogenization of Nonlinear Multiscale Materials in Magnetostatics.

*18th Conference on the Computation of Electromagnetic Fields (COMPUMAG2011)*.Peer reviewed

This paper deals with the modelling of nonlinear multiscale materials in magnetostatics by means of a finite element computational homogenization method. The method couples a macroscale problem with many ...

Scorretti, R., V Sabariego, R., Morel, L., Geuzaine, C., Burais, N., & Nicolas, L. (2011).

*Computation of induced fields into the human body by using dual formulations*.Peer reviewed

In this work we present the use of two dual formulations to compute Extremely Low frequency (ELF) induced fields into the human body. This allows to estimate the numerical error, as well as rigorously bound ...

V Sabariego, R., Geuzaine, C., Dular, P., & Gyselinck, J. (2011).

*Time-Domain Surface Impedance Boundary Conditions Enhanced by Coarse Volume Finite-Element Discretisation*.Peer reviewed

The time-domain surface impedance boundary conditions allow to accurately account for the high-frequency flux components while removing the massive conducting regions from the computation domain. In this paper ...

Dular, P., V Sabariego, R., Geuzaine, C., Luz, M. V. F. D., Kuo-Peng, P., & Krähenbühl, L. (2010). Finite Element Magnetic Models via a Coupling of Subproblems of Lower Dimensions.

*IEEE Transactions on Magnetics, 46*(8), 2827-2830.Peer reviewed (verified by ORBi)

Model refinements of magnetic circuits are performed via a subdomain finite element method based on a perturbation technique. A complete problem is split into subproblems, some of lower dimensions, to allow a ...

Gaignaire, R., Crevecoeur, G., Dupré, L., V Sabariego, R., Dular, P., & Geuzaine, C. (2010). Stochastic Uncertainty Quantification of the Conductivity in EEG Source Analysis by Using Polynomial Chaos Decomposition.

*IEEE Transactions on Magnetics, 46*(8), 3457-3460.Peer reviewed (verified by ORBi)

The electroencephalogram (EEG) is one of the techniques used for the non-invasive diagnosis of patients suffering from epilepsy. EEG source localization identifies the neural activity, starting from measured ...

Geuzaine, C., Vion, A., Gaignaire, R., Dular, P., & V Sabariego, R. (2010). An Amplitude Finite Element Formulation for Multiple-Scattering by a Collection of Convex Obstacles.

*IEEE Transactions on Magnetics, 46*(8), 2963-2966.Peer reviewed (verified by ORBi)

We present a multiple-scattering solver for nonconvex geometries obtained as the union of a finite number of convex obstacles. The algorithm is a finite element reformulation of a high-frequency integral ...

V Sabariego, R., Dular, P., Geuzaine, C., & Gyselinck, J. (2010). Surface-Impedance Boundary Conditions in Dual Time-Domain Finite-Element Formulations.

*IEEE Transactions on Magnetics, 46*(8), 3524-3531.Peer reviewed (verified by ORBi)

This paper deals with time-domain surface-impedance boundary conditions in computational magnetodynamics considering two dual finite-element formulations and a nonlinear magnetic constitutive law. Based on the ...

Dular, P., V Sabariego, R., Gyselinck, J., Krähenbühl, L., & Geuzaine, C. (2010). Non-linear magnetic model refinement via a finite element subproblem method.

*Proceedings of the XXI Symposium on Electromagnetic Phenomena in Nonlinear Circuits (EPNC 2010)*(pp. 39-40).Peer reviewed

Model refinements of non-linear magnetic circuits are performed via a finite element subproblem method. A complete problem is split into subproblems to allow a progression from 1- D to 3-D including linear to ...

Vanderheyden, B., Lousberg, G., Ausloos, M., Vanderbemden, P., Dular, P., & Geuzaine, C. (2010, May 07).

*Modeling high-temperature superconductors containing an array of holes*. Paper presented at International workshop on numerical modelling of High Temperature Superconductors, EPFL 2010, Lausanne, Switzerland.We have recently implemented a finite-element model for the penetration of the magnetic flux inside a bulk superconductor containing an array of holes (thin-wall superconductor), with the help of the open ...

De Grève, Z., Deblecker, O., Lobry, J., V Sabariego, R., Dular, P., & Geuzaine, C. (2010). Analyzing and Reducing Error in 2-D Frequency Domain Homogenization of Windings for R, L Parameters FE Computation.

*Proceedings of the 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2010)*. Chicago, USA.Peer reviewed

In this work, the error made by frequency domain homogenization of windings in 2-D
magnetodynamics is quantified. To that end, the homogenized fields are combined with the analytical
solutions (a) of eddy ...

Dular, P., Dang, Q. V., V Sabariego, R., Krähenbühl, L., & Geuzaine, C. (2010). Correction of Thin Shell Finite Element Magnetic Models via a Subproblem Method.

*Proceedings of the 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2010)*.Peer reviewed

A sub-problem finite element method is developed for correcting the inaccuracies near edges and corners inherent to thin shell models, for both magnetostatic and magnetodynamic problems. A thin shell solution ...

Gyselinck, J., Dular, P., Geuzaine, C., & V Sabariego, R. (2010). Combining Surface Impedance Boundary Conditions with Volume Discretisation in Time-Domain Finite-Element Modeling.

*Proceedings of the 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2010)*.Peer reviewed

In this paper a hybrid approach for considering massive conducting regions in time-domain
finite-element modeling is presented. Surface impedance boundary conditions, developed in the time
domain as ...

Vion, A., V Sabariego, R., & Geuzaine, C. (2010). A model reduction algorithm for solving multiple scattering problems using iterative methods.

*Proceedings of the 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2010)*. Chicago, USA.Peer reviewed

This paper presents a new method for solving scattering problems by multiple objects. A model
reduction algorithm based on the Macro Basis Functions (MBFs) method is used to find an approximate solution ...

Dular, P., Ferreira da Luz, M. V., Kuo-Peng, P., V Sabariego, R., Krähenbühl, L., & Geuzaine, C. (2010). Refinement of Inductor Models via a Subproblem Finite Element Method.

*Proceedings of the 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2010)*.Peer reviewed

A sub-problem finite element method is developed for refining the inductor models in magnetic circuits. It applies electrokinetic, magnetostatic and magnetodynamic models on progressively more complicated ...

Dular, P., V Sabariego, R., Krähenbühl, L., & Geuzaine, C. (2010). Magnetic model refinement via a coupling of finite element subproblems.

*Proceedings of Scientific Computing in Electrical Engineering (SCEE 2010)*.Peer reviewed

Model refinements of magnetic circuits are performed via a subdomain finite element method. A complete problem is split into subproblems with overlap- ping meshes, to allow a progression from source to ...

V Sabariego, R., Sergeant, P., Gyselinck, J., Dular, P., Dupré, L., & Geuzaine, C. (2010). Finite-Element Analysis of a Shielded Pulsed-Current Induction Heater -- Experimental Validation of a Time-Domain Thin-Shell Approach.

*COMPEL, 29*(6), 1585-1595.Peer reviewed (verified by ORBi)

Purpose – The aim of this paper is the experimental validation of an original time-domain thin-shell formulation. The numerical results of a three-dimensional thin-shell model are compared with the ...

V Sabariego, R., Dular, P., Geuzaine, C., & Gyselinck, J. (2009). Surface-Impedance Boundary Conditions in Dual Time-Domain Finite-Element Formulations.

*Proceedings of the 17th Conference on the Computation of Electromagnetic Fields, COMPUMAG 2009*. Florianopolis, Brazil.Peer reviewed

This paper deals with time-domain surface-impedance boundary conditions in computational magnetodynamics considering both magnetic-vector potential and magnetic-field formulation. Based on the resolution of ...

Plumier, F., & Geuzaine, C. (2009). Three beneficiaries of project-oriented education in power electronics.

*Proceedings of the 13th European Conference on Power Electronics and Applications*.Peer reviewed

Power Electronics education at the University of Liège exhibits a particular feature, in that a person from industry is directly involved in the teaching of the introductory Power Electronics course since ...

Lousberg, G., Ausloos, M., Geuzaine, C., Dular, P., Vanderbemden, P., & Vanderheyden, B. (2009). Numerical simulation of the magnetization of high-temperature superconductors: a 3D finite element method using a single time-step iteration.

*Superconductor Science and Technology, 22*, 055005.Peer reviewed (verified by ORBi)

In this paper, we report progress towards a 3D finite element model for the magnetization of a
high-temperature superconductor (HTS): we suggest a method that takes into account a power
law conductivity and ...

Gyselinck, J., Geuzaine, C., Dular, P., & V Sabariego, R. (2009). Surface-impedance boundary conditions in time-domain finite-element calculations.

*IEEE Transactions on Magnetics, 45*(3), 1280-1283.Peer reviewed (verified by ORBi)

The authors propose a novel time-domain extension of the well-known frequency-domain surface-impedance method in computational magnetodynamics. Herein, the 1-D eddy-current problem in a massive conducting ...

V Sabariego, R., Geuzaine, C., Dular, P., & Gyselinck, J. (2009). Nonlinear time-domain finite-element modeling of thin electromagnetic shells.

*IEEE Transactions on Magnetics, 45*(3), 976-979.Peer reviewed (verified by ORBi)

A nonlinear time-domain extension of the classical linear frequency-domain thin-shell approach is presented. The interface conditions are expressed in terms of the average magnetic flux density throughout the ...

Gyselinck, J., Dular, P., Geuzaine, C., & V Sabariego, R. (2009). Direct Inclusion of Proximity-Effect Losses in Two-Dimensional Time-Domain Finite-Element Simulation of Electrical Machines.

*Proceedings of the 8th International Symposium on Electric and Magnetic Fields (EMF2009)*. Mondovi, Italy.Peer reviewed

This paper deals with eddy-current effects in the distributed winding of electrical machines, and in particular with the proximity effect and the associated losses. A previously proposed homogenization method ...

Plumier, F., Bleus, P., & Geuzaine, C. (2009). Collaboration industrielle et enseignement par projet en électronique de puissance.

*J3eA : Journal sur l'Enseignement des Sciences et Technologies de l'Information et des Systèmes, 8*(Hors série 1), 1015.Peer reviewed (verified by ORBi)

For the first time during year 2007-2008, a complete design of a DC/DC converter, based on specifications only, was asked to the students following the basic Power Electronics course at University of Liège ...

Rochus, V., Golinval, J.-C., & Geuzaine, C. (2009).

*Dual Approach for Electromechanical Coupling in MEMS*.Peer reviewed

In this paper we present an approach for the computation of
coupled electromechanical problems in micro-electromechanical
systems based on a vector potential formulation of the electrostatic
problem. This ...

Sergeant, P., V Sabariego, R., Crevecoeur, G., Dupré, L., & Geuzaine, C. (2009). Analysis of perforated magnetic shields for electric power applications.

*IET Electric Power Applications, 3*(2), 123-132.Peer reviewed (verified by ORBi)

The shielding performance of perforated magnetic shields for electric power applications is described. The shielding of an axisymmetric induction heating device is studied as a function of frequency, number of ...

V Sabariego, R., Sergeant, P., Gyselink, J., Dular, P., Dupré, L., & Geuzaine, C. (2009). Finite-Element Analysis of a Shielded Pulsed-Current Induction Heater-- Experimental Validation of a Time-Domain Thin-Shell Approach.

*Proceedings of the 8th International Symposium on Electric and Magnetic Fields (EMF2009)*. Mondovi, Italy.Peer reviewed

A time-domain extension of the classical frequency-domain thin-shell
approach is used for the finite-element analysis of a shielded pulse-current induction heater.
The time-domain interface conditions at ...

V Sabariego, R., Ferreira da Luz, M. V., Nzuru Nsekere, J.-P., Kuo-Peng, P., Lilien, J.-L., Geuzaine, C., & Dular, P. (2008). Perturbation finite element method for the analysis of earthing systems with vertical and horizontal rods.

*Proceedings of the 6ème Conférence Européenne sur les Méthodes Numériques en Electromagnétisme (NUMELEC2008)*. Liege, Belgium.Peer reviewed

This paper deals with the electrokinetic modeling of earthing systems by means of a sub-domain perturbation finite element technique. An axisymmetric problem is solved for each single grounding rod or cable ...

V Sabariego, R., Geuzaine, C., Dular, P., & Gyselinck, J. (2008). h- and a-Formulations for the Time-Domain Modelling of Thin Electromagnetic Shells.

*IET Science, Measurement and Technology, 2*(6), 402-408.Peer reviewed (verified by ORBi)

Thin conductive magnetic shells are accounted for by means of two different time-domain magnetodynamic finite-element formulations, namely the magnetic field formulation and the magnetic vector potential ...

Gyselinck, J., V Sabariego, R., Dular, P., & Geuzaine, C. (2008). Time-Domain Finite-Element Modeling of Thin Electromagnetic Shells.

*IEEE Transactions on Magnetics, 44*(6), 742-745.Peer reviewed (verified by ORBi)

In this paper, the authors propose a novel time-domain extension of the well-known frequency-domain thin-shell approach. The time-domain interface conditions at the shell surface are expressed in terms of the ...

V Sabariego, R., Geuzaine, C., Dular, P., & Gyselinck, J. (2008). h- and a- Time-Domain Formulations for the Modelling of Thin Electromagnetic Shells.

*Proceedings of the 7th International Conference on Computation in Electromagnetics (CEM2008)*.Peer reviewed

Dual time-domain magnetodynamic finite element formulations taking into account thin conductive
magnetic shells are presented. The interface conditions are expressed in terms of the average flux and ...

Drouart, F., Renversez, G., Nicolet, A., & Geuzaine, C. (2008). Spatial Kerr solitons in optical fibres of finite size cross section: beyond the Townes soliton.

*Journal of Optics A: Pure and Applied Optics, 10, In press (online at stacks.iop.org/JOptA/10/125101)*, 13.Peer reviewed (verified by ORBi)

Geuzaine, C., Bruno, O., V Sabariego, R., & Colignon, D. (2008). High-Frequency Integral Equation Solver for 3-D Wave Scattering Around Convex Obstacles.

*Proceedings of 6ème Conférence Européenne sur les Méthodes Numériques en Electromagnétisme (NUMELEC2008)*. Liege, Belgium.Peer reviewed

We present a numerical method for the computation of wave scattering by convex three-dimensional obstacles, which exhibits a bounded computational complexity for arbitrarily high frequencies.
The method is ...

Gyselinck, J., Dular, P., Geuzaine, C., & V Sabariego, R. (2008). Surface Impedance Boundary Conditions for the Modeling of Saturable Massive Conducting Volumes in Time-Domain Finite-Element Calculations.

*Proceedings of 6ème Conférence Européenne sur les Méthodes Numériques en Electromagnétisme (NUMELEC2008)*. Liège, Belgium.Peer reviewed

The authors propose a novel nonlinear time-domain extension of the
well-known frequency-domain surface-impedance method in computational
magnetodynamics. Herein the 1-D eddy-current problem in a massive ...

Gyselinck, J., Dular, P., Geuzaine, C., & V Sabariego, R. (2008). Surface-Impedance Boundary Conditions in Nonlinear Time-Domain Finite-Element Calculations.

*Proceedings of the XX Symposium Electromagnetic Phenomena in Nonlinear Circuits (EPNC2008)*. Lille, France.Peer reviewed

The authors propose a novel nonlinear time-domain extension of the well-known frequency-domain
surface-impedance method in computational magnetodynamics. Herein the 1-D eddy-current problem in a massive ...

V Sabariego, R., Gyselinck, J., Dular, P., Geuzaine, C., & Legros, W. (2004). Fast multipole acceleration of the hybrid finite-element/boundary-element analysis of 3-D eddy-current problems.

*IEEE Transactions on Magnetics, 40*(2), 1278-1281.Peer reviewed (verified by ORBi)

This paper deals with the acceleration of the hybrid finite-element/boundary-element analysis of three-dimensional (3-D) eddy-current problems by means of the fast multipole method. An adaptive truncation ...

V Sabariego, R., Gyselinck, J., Geuzaine, C., Dular, P., & Legros, W. (2004). Application of the fast multipole method to hybrid finite element-boundary element models.

*Journal of Computational and Applied Mathematics, 168*(1-2), 403-412.Peer reviewed (verified by ORBi)

This paper focuses on the acceleration of the hybrid finite element-boundary element analysis of 2D eddy current problems by means of the fast multipole method. An adaptive truncation scheme for the expansion ...

V Sabariego, R., Gyselinck, J., Geuzaine, C., Dular, P., & Legros, W. (2003). Application of the fast multipole method to the 2D finite element-boundary element analysis of electromechanical devices.

*COMPEL, 22*(3), 659-673.Peer reviewed (verified by ORBi)

The present paper deals with the fast multipole acceleration of the 2D finite element-boundary element modelling of electromechanical devices. It is shown that the fast multipole method, usually applied to ...

Dular, P., & Geuzaine, C. (1997).

*GetDP: a general environment for the treatment of discrete problems*.GetDP is a general finite element solver using mixed elements to discretize de Rham-type complexes in one, two and three dimensions. The main feature of GetDP is the closeness between the input data defining ...

Geuzaine, C., & Remacle, J.-F. (1997).

*Gmsh: a finite element mesh generator with built-in pre- and post-processing facilities*.Gmsh is a 3D finite element grid generator with a build-in CAD engine and post-processor. Its design goal is to provide a fast, light and user-friendly meshing tool with parametric input and advanced ...