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Zbl 0980.78010
Toselli, Andrea
Overlapping Schwarz methods for Maxwell's equations in three dimensions.
(English)
[J] Numer. Math. 86, No.4, 733-752 (2000). ISSN 0029-599X; ISSN 0945-3245/e

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.
[Ll.G.Chambers (Bangor)]
MSC 2000:
*78M10 Finite element methods (optics)
65N30 Finite numerical methods (BVP of PDE)
65N55 Multigrid methods; domain decomposition (BVP of PDE)

Keywords: Maxwell's equations; Schwarz methods; Nédélec finite element approximations

Citations: Zbl 0943.78017

Cited in: Zbl 0943.78017

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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