ELEC 0041: Modeling and design of electromagnetic systems - Spring 2022


Tue 08/02General introduction; Introduction to Gmsh and GetDP: hands-on construction of a .geo and a .pro file.
Tue 15/02Review of Maxwell equations, electromagnetic fields and related global quantities (charge, voltage, current, magnetic flux), material constitutive laws; electrostatic, electrokinetic, magnetostatic, magnetodynamic and full wave models [Slides]; Electrostatics, part 1: weak formulation in terms of the scalar potential, boundary conditions.
Tue 22/02Discretization: mesh, basis functions, degrees of freedom, discrete weak formulation; Electrostatics, part 2: global quantities (charge and floating potential). Electrokinetics: formulation, global quantities (voltage and current) [busbar.geo, busbar.pro]. [Homework assignement 1]
Tue 01/03No class.
Tue 08/03Overview of (other) electromagnetic modelling techniques [Slides]; Electrodynamics (electroquasistatics); class time for homework 1.
Tue 15/03 Magnetostatics: scalar and vector magnetic potentials, infinite shell transformation, edge elements (3D vs. 2D).
Tue 22/03Magnetodynamics, part 1: a-v formulation, global quantities (currents and voltages) [underground.geo, underground.pro]. [Homework assignement 2]
Tue 29/03Magnetodynamics, part 2: frequency-domain vs. time-domain, template formulation, examples.
Tue 05/04No class
Tue 12/04No class
Tue 19/04Going further: circuit coupling, three-dimensional problems and Whitney elements, complementary formulations, gauging, cuts [Slides]; class time for homework 2
Tue 26/04Nonlinear problems: Newton-Raphson and Picard iterations; Rigid body forces using the Maxwell stress tensor. [Homework assignement 3]
Tue 03/05Wave propagation: full wave formulations, domain truncation; application to antenna and waveguide modelling [Slides]; class time for homework 3
Tue 10/05Multiphysic couplings: the magnetometer example (electromagnetics, thermics and elastodynamics)
Tue 17/05No class

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