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Overlapping Schwarz methods for Maxwell’s equations in three dimensions. (English) Zbl 0980.78010
Summary: This paper purports to give a method of numerical solution for Maxwell’s equations. It discusses Schwarz methods with Nédélec finite element approximations and the associated abstract spaces. There is also a treatment of the condition number of the method which is shown to be bounded. There is no indication of how the method can be applied to any actual physical problem, the paper being highly abstract.

MSC:
78M10Finite element methods (optics)
65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
65N55Multigrid methods; domain decomposition (BVP of PDE)
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