Block triangular preconditioner for static Maxwell equations

In this paper, we explore the block triangular preconditioning techniques applied to the iterative solution of the saddle point linear systems arising from the discretized Maxwell equations. Theoretical analysis shows that all the eigenvalues of the preconditioned matrix arestrongly clustered. Numer...

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Bibliographic Details
Published inComputational & applied mathematics Vol. 30; no. 3; pp. 589 - 612
Main Authors Wu, Shi-Liang, Huang, Ting-Zhu, Li, Liang
Format Journal Article
LanguageEnglish
Published Sociedade Brasileira de Matemática Aplicada e Computacional 2011
Subjects
MATHEMATICS, APPLIED
Krylov subspace method
preconditioner
saddle point system
Maxwell equations
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ISSN1807-0302
2238-3603
DOI10.1590/S1807-03022011000300006

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Summary:In this paper, we explore the block triangular preconditioning techniques applied to the iterative solution of the saddle point linear systems arising from the discretized Maxwell equations. Theoretical analysis shows that all the eigenvalues of the preconditioned matrix arestrongly clustered. Numerical experiments are given to demonstrate the efficiency of the presented preconditioner. Mathematical subject classification: 65F10.
ISSN:1807-0302
2238-3603
DOI:10.1590/S1807-03022011000300006