ELEC 0041: Modeling and design of electromagnetic systems - Spring 2016


Tue 01/02Introduction to computational electromagnetics. Maxwell equations, fields and related global quantities (charge, voltage, current, magnetic flux), material relations, boundary conditions, interface conditions. Electrostatic, electrokinetic, magnetostatic, magnetodynamic and full wave models. Introduction to Gmsh (building of geometries and meshes at progressive levels of complexity) and GetDP (elementary notions). Practical examples on electrostatics: electric scalar potential. (Slides) (Homework assignement 1)
Tue 16/02Introduction to finite element formulations (least square interpolation, electrostatic and electrokinetic models, 1D cases). Tonti diagrams. Introduction to GetDP in parallel with theoretical tools related to the finite element method: 1D and 2D finite elements (degree 1), reference and real finite elements, change of coordinates, interpolation of scalar fields (degrees of freedom, basis functions), least square interpolation formulation, integral formulation. Class time for homework 1. (slides)
Tue 23/02Introduction to GetDP in parallel with theoretical tools (cont'd): Gauss integration, degree-2 nodal finite elements (hierarchical or not), infinite regions via change of variables. Electrostatics, electrokinetics and magnetostatics: electric and magnetic potentials, calculation of global quantities (charge, voltage, current intensity, magnetic flux).
Tue 01/03Uniqueness of solutions; Formulations for dynamic problems: a-v magnetodynamics, global quantities (voltage and current), time and frequency domain, spatial discretization with nodal, edge and facet elements. Feedback on homework 1. (Homework assignement 2)
Tue 08/03Formulations for dynamic problems (cont'd): detailed analysis and practical examples.
Tue 15/03Deadline for 1 page personal project proposal (sent by Mon 14th at noon) to P. Dular and C. Geuzaine; Class time/workshop on homework2.
Tue 22/03No class
Tue 29/03No class
Tue 05/04No class
Tue 12/04Formulations for wave propagation: frequency- and time-domain, absorbing boundary conditions and perfectly matched layers.

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