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Parallel Auxiliary Space AMG for $\boldsymbol{H}$(Curl) Problems

Parallel Auxiliary Space AMG for $\boldsymbol{H}$(Curl) Problems
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Year:    2009

Journal of Computational Mathematics, Vol. 27 (2009), Iss. 5 : pp. 604–623

Abstract

In this paper we review a number of auxiliary space based preconditioners for the second order definite and semi-definite Maxwell problems discretized with the lowest order Nédélec finite elements. We discuss the parallel implementation of the most promising of these methods, the ones derived from the recent Hiptmair-Xu (HX) auxiliary space decomposition [Hiptmair and Xu, SIAM J. Numer. Anal., 45 (2007), pp. 2483-2509]. An extensive set of numerical experiments demonstrate the scalability of our implementation on large-scale $\boldsymbol{H}$(curl) problems.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.2009.27.5.013

Journal of Computational Mathematics, Vol. 27 (2009), Iss. 5 : pp. 604–623

Published online:    2009-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    Parallel algebraic multigrid H(curl) problems Edge elements Auxiliary space preconditioning.

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