Algebraic multigrid for complex symmetric matrices and applications

Authors:
Stefan Reitzinger;Ute Schreiber;Ursula van Rienen
Affiliations:
Institute for Computational Mathematics, University of Linz, Linz A-4040, Austria;Institute of General Electrical Engineering, University of Rostock, Germany;Institute of General Electrical Engineering, University of Rostock, Germany
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

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Abstract

This paper is concerned with the numerical study of an algebraic multigrid preconditioner for complex symmetric system matrices. We use several different Krylov subspace methods as an outer iteration, namely the QMR method proposed by Freund and Nachtigal, the BiCGCR method of Clemens, and the CSYM method of Bunse-Gerstner and Stoever. In addition, we compare the results with the standard Jacobi preconditioner for complex symmetric problems. We test our approach on the numerical simulation of high-voltage insulators.