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Zbl 1057.65097
Hu, Qiya; Zou, Jun
A nonoverlapping domain decomposition method for Maxwell's equations in three dimensions. (English)
[J] SIAM J. Numer. Anal. 41, No. 5, 1682-1708 (2003). ISSN 0036-1429; ISSN 1095-7170/e

From the authors' summary: We propose a nonoverlapping domain decomposition method for solving the three-dimensional Maxwell equations, based on the edge element discretization. For the Schur complement system on the interface, we construct an efficient preconditioner by introducing two special coarse subspaces defined on the nonoverlapping subdomains. It is shown that the condition number of the preconditioned system grows only polylogarithmically with the ratio between the subdomain diameter and the finite element mesh size but possibly depends on the jumps of the coefficients.
[Francisco José Pena Brage (Santiago de Compostela)]

MSC 2000:: *65N55 Multigrid methods; domain decomposition (BVP of PDE)
65N30 Finite numerical methods (BVP of PDE)
65F10 Iterative methods for linear systems
65F35 Matrix norms, etc. (numerical linear algebra)
35Q60 PDE of electromagnetic theory and optics
78A25 General electromagnetic theory
78M10 Finite element methods (optics)

Keywords: Maxwell's equations; Nédélec finite elements; nonoverlapping domain decomposition; condition numbers; Schur complement; preconditioner

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