PARALLEL AUXILIARY SPACE AMG FOR H(curl) PROBLEMS

被引：90

作者：

Kolev, Tzanio V. ^{[1
]}

Vassilevski, Panayot S. ^{[1
]}

机构：

[1] Lawrence Livermore Natl Lab, Ctr Appl sci Comp, Livermore, CA 94551 USA

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2009年 / 27卷 / 05期

关键词：

Parallel algebraic multigrid; H(curl) problems; Edge elements; Auxiliary space preconditioning; ALGEBRAIC MULTIGRID METHOD; MAGNETIC DIFFUSION; DISCRETIZATION; H(DIV);

D O I：

10.4208/jcm.2009.27.5.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：604 / 623

页数：20

共 28 条

[1]

Amrouche C, 1998, MATH METHOD APPL SCI, V21, P823, DOI 10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO

[2]

2-B

[3]

[Anonymous], 1970, PRINCETON MATH SERIE

[4]

[Anonymous], HYPRE HIGH PERFORMAN

[5]

[Anonymous], 2006, Technical report SAND2006-2649

[6]

Arnold DN, 2000, NUMER MATH, V85, P197, DOI 10.1007/s002110000137

[7]

BOCHEV P, 2007, SIAM J SCI IN PRESS

[8] An improved algebraic multigrid method for solving Maxwell's equations [J].

Bochev, PB ;

Garasi, CJ ;

Hu, JJ ;

Robinson, AC ;

Tuminaro, RS .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2003, 25 (02) :623-642

[9]

Bochev PB, 2003, ELECTRON T NUMER ANA, V15, P186

[10]

CLEMENT P, 1975, REV FR AUTOMAT INFOR, V9, P77

← 1 2 3 →