期刊
JOURNAL OF COMPUTATIONAL MATHEMATICS
卷 27, 期 5, 页码 604-623出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/jcm.2009.27.5.013
关键词
Parallel algebraic multigrid; H(curl) problems; Edge elements; Auxiliary space preconditioning
资金
- Lawrence Livermore National Laboratory [DE-AC52-07NA27344, UCRL-JRNL-237306]
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 Nedelec 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 H(curl) problems.
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