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
收藏
页码：131 / 144
页数：14
相关论文
共 50 条
  • [21] A coupled FEM-BEM formulation in structural acoustics for imaging a material inclusion
    Sarkar, Abhijit
    Sonti, Venkata R.
    Pratap, Rudra
    [J]. International Journal of Acoustics and Vibrations, 2005, 10 (01): : 3 - 16
  • [22] Low-Frequency Acoustic-Structure Analysis Using Coupled FEM-BEM Method
    Feng, Jinlong
    Zheng, Xiaoping
    Wang, Haitao
    Wang, HongTao
    Zou, Yuanjie
    Liu, Yinghua
    Yao, Zhenhan
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [23] FEM-BEM coupling in fractional diffusion
    Faustmann, Markus
    Rieder, Alexander
    [J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2024,
  • [24] Development of coupling FEM-BEM method for steam generator inspection
    Cheng, W
    Miya, K
    Demachi, K
    Yusa, N
    [J]. REVIEW OF PROGRESS IN QUANTITATIVE NONDESTRUCTIVE EVALUATION, VOLS 19A AND 19B, 2000, 509 : 433 - 440
  • [25] Multiscale preconditioning for the coupling of FEM-BEM
    Harbrecht, H
    Paiva, F
    Pérez, C
    Schneider, R
    [J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2003, 10 (03) : 197 - 222
  • [26] A fem-bem coupling method for soil - Structure interaction analysis
    Rojas, Katherina
    Lehmann, Lutz
    Cerrolaza, Miguel
    [J]. Boletin Tecnico/Technical Bulletin, 2008, 46 (02): : 23 - 36
  • [27] CORNER MODELIZATION FOR FEM-BEM COUPLING
    BOURMANNE, P
    DELINCE, F
    GENON, A
    LEGROS, W
    NICOLET, A
    [J]. IEEE TRANSACTIONS ON MAGNETICS, 1991, 27 (05) : 4110 - 4113
  • [28] Numerical Simulation of Sloshing in Rectangular Storage Tank Using Coupled FEM-BEM
    Saghi, Hassan
    Ketabdari, Mohammad Javad
    [J]. JOURNAL OF MARINE SCIENCE AND APPLICATION, 2012, 11 (04) : 417 - 426
  • [29] A rigorous error analysis of coupled FEM-BEM problems with arbitrary many subdomains
    Pechstein, Clemens
    Hofreither, Clemens
    [J]. Lecture Notes in Applied and Computational Mechanics, 2013, 66 : 109 - 132
  • [30] Numerical simulation of sloshing in rectangular storage tank using coupled FEM-BEM
    Hassan Saghi
    Mohammad Javad Ketabdari
    [J]. Journal of Marine Science and Application, 2012, 11 (4) : 417 - 426
12345