Towards robust two-level methods for indefinite systems

被引：0

作者：

Fish, J ^{[1
]}

Qu, Y ^{[1
]}

Suvorov, A ^{[1
]}

机构：

[1] Rensselaer Polytech Inst, Dept Civil Mech & Aerosp Engn, Troy, NY 12180 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1999年 / 45卷 / 10期

关键词：

indefinite; multilevel; aggregation; iterative;

D O I：

10.1002/(SICI)1097-0207(19990810)45:10<1433::AID-NME638>3.0.CO;2-5

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a black-box two-level solver for indefinite algebraic linear system of equations arising from the finite element discretization. Numerical experiments show the applicability of the method to 3D Helmholtz equations and shear banding problems with strain softening. Copyright (C) 1999 John Wiley & Sons, Ltd.

引用

页码：1433 / 1456

页数：24

共 22 条

[1] FINITE-ELEMENT DISPERSION ANALYSIS FOR THE 3-DIMENSIONAL 2ND-ORDER SCALAR WAVE-EQUATION
ABBOUD, NN
PINSKY, PM
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1992, 35 (06) : 1183 - 1218
[2] BAYLISS A, 1985, J COMPUTATIONAL PHYS, V59
[3] A FINITE-ELEMENT WITH EMBEDDED LOCALIZATION ZONES
BELYTSCHKO, T
FISH, J
ENGELMANN, BE
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 70 (01) : 59 - 89
[4] BRAMBLE JH, 1993, MATH COMPUT, V60, P1, DOI 10.1090/S0025-5718-1993-1146834-4
[5] Brandt A., 1984, SPARSITY ITS APPL
[6] HIGH-PERFORMANCE MULTILEVEL ITERATIVE AGGREGATION SOLVER FOR LARGE FINITE-ELEMENT STRUCTURAL-ANALYSIS PROBLEMS
BULGAKOV, VE
KUHN, G
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (20) : 3529 - 3544
[7] DUFF IS, 1995, 95001 RAL
[8] AN EFFICIENT MULTILEVEL SOLUTION SCHEME FOR LARGE-SCALE NONLINEAR-SYSTEMS
FISH, J
PANDHEERADI, M
BELSKY, V
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (10) : 1597 - 1610
[9] MULTIGRID METHOD FOR PERIODIC HETEROGENEOUS MEDIA .2. MULTISCALE MODELING AND QUALITY-CONTROL IN MULTIDIMENSIONAL CASE
FISH, J
BELSKY, V
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1995, 126 (1-2) : 17 - 38
[10] Hierarchical composite grid method for global-local analysis of laminated composite shells
Fish, J
Suvorov, A
Belsky, V
[J]. APPLIED NUMERICAL MATHEMATICS, 1997, 23 (02) : 241 - 258

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