| PARALLEL AUXILIARY SPACE AMG FOR H（curl） PROBLEMS |
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| 作者姓名： | Tzanio V.Kolev Panayot S.Vassilevski |
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| 作者单位： | Center;Applied;Scientific;Computing;Lawrence;Livermore;National;Laboratory;P.O.Box;L-560;94551; |
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| 基金项目： | This work performed under the auspices of the U.S.Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344.UCRL-JRNL-237306 |
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| 摘 要： | 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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| 关 键 词： | 空间分解 并行执行 离散问题 可扩展性 数值试验 预条件 有限元 半正定 |
PARALLEL AUXILIARY SPACE AMG FOR H(curl) PROBLEMS |
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| Tzanio V.Kolev,Panayot S.Vassilevski.PARALLEL AUXILIARY SPACE AMG FOR H(curl) PROBLEMS[J].Journal of Computational Mathematics,2009(5):604-623. |
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| Authors: | Tzanio VKolev Panayot SVassilevski Center for Applied Scientific Computing Lawrence Livermore National Laboratory POBox L- Livermore CA USA |
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| Institution: | Tzanio V.Kolev Panayot S.Vassilevski Center for Applied Scientific Computing,Lawrence Livermore National Laboratory,P.O.Box 808,L-560,Livermore,CA 94551,USA |
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| 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 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 implementat... |
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| Keywords: | Parallel algebraic multigrid H（curl） problems Edge elements Auxiliary space preconditioning |
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