The preconditioned GMRES method for systems of coupled FEM-BEM equations

被引：7

作者：

Mund, P ^{[1
]}

Stephan, EP ^{[1
]}

机构：

[1] Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 1998年 / 9卷 / 1-2期

关键词：

Boundary Element; Boundary Element Method; GMRES Method; Hierarchical Basis; Boundary Integral Operator;

D O I：

10.1023/A:1018921003084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the generalized minimal residual method (GMRES) as a solver for coupled finite element and boundary element equations. To accelerate the convergence of GMRES we apply a hierarchical basis block preconditioner for piecewise linear finite elements and piecewise constant boundary elements. It is shown that the number of iterations which is necessary to reach a given accuracy grows only poly-logarithmically with the number of unknowns.

引用

页码：131 / 144

页数：14

共 50 条

[31] An efficient two-level preconditioner based on lifting for FEM-BEM equations
Pereira, Fabio Henrique
Afonso, Marcio Matias
De Vasconcelos, João Antônio
Nabeta, Silvio Ikuyo
[J]. Journal of Microwaves and Optoelectronics, 2010, 9 (02) : 78 - 88
[32] Analyzing acoustic scattering of elastic objects using coupled FEM-BEM technique
Zhuo, Lin-Kai
Fan, Jun
Tang, Wei-Lin
[J]. Shanghai Jiaotong Daxue Xuebao/Journal of Shanghai Jiaotong University, 2009, 43 (08): : 1258 - 1261
[33] A FEM-BEM interactive coupling for modeling the piezoelectric health monitoring systems
Shah, Abid A.
[J]. LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, 2011, 8 (03): : 305 - 334
[34] A preconditioned GMRES method
Kwak, DY
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1997, 85 (2-3) : 201 - 208
[35] A least-squares fem-bem coupling method for linear elasticity
Maischak, M.
Oestmann, S.
Stephan, E. P.
[J]. APPLIED NUMERICAL MATHEMATICS, 2012, 62 (04) : 457 - 472
[36] Efficient symmetric FEM-BEM coupled simulations of electro-quasistatic fields
Steinmetz, T.
Goedel, N.
Wimmer, G.
Clemens, M.
Kurz, S.
Bebendorf, M.
[J]. IEEE TRANSACTIONS ON MAGNETICS, 2008, 44 (06) : 1346 - 1349
[37] Design and Analysis of a Switched Reluctance Motor Using a Coupled FEM-BEM Approach
Becheikh, M.
Bendiabdellah, A.
[J]. INTERNATIONAL REVIEW OF ELECTRICAL ENGINEERING-IREE, 2010, 5 (02): : 508 - 513
[38] THE EDDY CURRENT LLG EQUATIONS: FEM-BEM COUPLING AND A PRIORI ERROR ESTIMATES
Feischl, Michael
Thanh Tran
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 55 (04) : 1786 - 1819
[39] Application of FEM-BEM coupling method to eddy current testing problems
Cheng, WY
Miya, K
Demachi, K
[J]. ELECTROMAGNETIC NONDESTRUCTIVE EVALUATION (IV), 2000, 17 : 17 - 24
[40] A Symmetric Interior Penalty FEM-BEM Formulation
Allilomes, Peter
Rawat, Vinnet
Lee, Jin-Fa
[J]. 2009 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM AND USNC/URSI NATIONAL RADIO SCIENCE MEETING, VOLS 1-6, 2009, : 517 - 520

← 1 2 3 4 5 →