Author: Joachim Schöberl
Title of the contribution: Schwarz Methods for Maxwell Equations
Abstract:
Electromagnetic phenomena are described by Maxwell equations. The weak formulation is discretized by Nedelec finite
elements. Since real problems are usually 3D, one obtains huge systems of equations, which must be solved by
efficient iterative methods. Hiptmair as well as Arnold, Falk and Winther have proposed and analyzed special
multigrid methods tuned to the properties of the underlying function space H(curl). We will discuss their methods,
and I will present a new technique to prove robust multigrid convergence on non-convex domains. The new analysis is
based on commuting interpolation operators, and is very similar to the scalar case.
In the second part of the talk, I will present a new basis for high order H(curl) elements. It includes gradient basis functions explicitely, which allows to use simple Schwarz methods.
Practical examples including the simulation of a power transformer are presented.
BackURL: www.ricam.oeaw.ac.at/specsem/sscm/srs_ev/nepomnyaschikh/abstracts/abstract_schoeberl.php
This page was made with 100% valid HTML & CSS - Send comments to Webmaster
Today's date and time is 04/29/24 - 06:54 CEST and this file (/specsem/sscm/srs_ev/nepomnyaschikh/abstracts/abstract_schoeberl.php) was last modified on 03/16/16 - 13:43 CEST