ELEC 0041: Modeling and design of electromagnetic systems - Spring 2020


Tue 04/02Review of electromagnetism: 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; conducteur.geo). [Slides]
Tue 11/02Overview of numerical electromagnetic modelling methods: computational electromagnetics. Introduction to GetDP (elementary notions). First practical example on electrostatics using the electric scalar potential. [Slides]
Tue 18/02Electrostatics, part 1: weak formulation, interpolation of scalar fields (degrees of freedom, basis functions), boundary conditions. Hands-on construction of a .pro files. [Homework assignement 1]
Tue 25/02No class (mardi gras)
Tue 03/03 Electrostatics, part 2: global quantities (charge and floating potential); global quantities for electrokinetic (voltage and current). Class time for homework assignment 1.
Tue 10/03Magnetostatics: scalar and vector magnetic potentials, infinite shell transformation. [Homework assignement 2; sample geometry and problem definition files]
Tue 17/03Feedback on homework 1. Class time for homework assignment 2.
Tue 24/03Magnetodynamics, part 1: a-v formulation, global quantities (currents and voltages).
Tue 31/03Magnetodynamics, part 2: frequency-domain vs. time-domain resolution, circuit coupling. [Homework assignement 3]
Tue 07/04No class (Easter)
Tue 14/04No class (Easter)
Tue 21/04Going further: three-dimensional problems, complementary formulations, Whitney elements. [Slides]
Tue 28/04Nonlinear problems: Newton-Raphson and Picard iterations.
Tue 05/05Rigid body forces using the Maxwell stress tensor; Wave propagation: full wave formulations, domain truncation.

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