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Talk Abstract
Overlapping Schwarz methods for Maxwell's equations in three dimensions

Andrea Toselli, Courant Institute, NYU

Overlapping methods Schwarz are considered for finite element problems of 3D Maxwell's equations. Né délec elements built on tetrahedra and cubes are considered. Once the relative overlap is fixed, the condition number of the additive Schwarz method is bounded, independently of the diameter of the triangulation and the number of subregions. A similar result is obtained for a multiplicative method. Our work generalizes well-known results for conforming finite elements for second order elliptic scalar equations.

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1996-1997 Mathematics in High Performance Computing