Selected problems of technical electrodynamics ES3CO3302

1. Banach spaces. Linear operators. Hilbert spaces. Orthogonality and orthogonal projection.
2. Approximate solution of boundary value problems of electrodynamics described by differential equations. General description of the method of weighted residuals and its implementation: the method of point collocation, the method of subdomain collocation, the least squares method, Galerkin method.
3. The energy functional. Variational methods: Ritz method, Kantorovich method.
4. General form of algebraic equation systems which arise from the application of the methods discussed above. Computer implementation.
5. Approximate solution of boundary problems of electrodynamics described by integral equations. Trefftz method.
6. The most popular strategies for approximate analysis of complex boundary problems: discretization of the analyzed region (the finite element method), discretization of the boundary (the boundary element method), discretization of the operator (finite difference method).
7. Engineering issues. Implementation of shielding and equipotential bonding in low voltage installations. Implementation of shields in a wide frequency band. Shielding grids (meshes). Quality of galvanic contacts, electrolytic corrosion. Accidental and intentional electromagnetic interferences.