- understand the basic mathematical models of electromagnetics;
- formulate and discuss main results about existence and uniqueness of solutions;
- formulate appropriate discretization methods for the resulting systems of differential equations;
- assess the stability, accuracy and computational costs of the discretization schemes;
- implement the proposed methods on a computer and verify their behavior;
- study efficient solvers for linear and nonlinear systems arising in electromagnetics.
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Maxwell's equations and simplifications; weak formulation; existence and uniqueness results; Brezzi theory;
DeRham complex and its discretization; approprite finite element schemes; convergence analysis;
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