DOMAIN DECOMPOSITION WITH NON-MATCHING GRIDS FOR COUPLING OF FEM AND NATURAL BEM

被引：0
|
作者：
YANG Ju’e HU Qiya YU Dehaot (LSEC
机构：
来源：
Journal of Systems Science & Complexity | 2005年 / 04期
基金：
中国国家自然科学基金;
关键词：
Domain decomposition; non-matching grids; natural boundary reduction; multiplier space; error estimate; D-N alternating algorithm; convergence;
D O I：
暂无
中图分类号：
O175.8 [边值问题];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a domain decomposition method with non-matching grids for solving Dirichlet exterior boundary problems by coupling of finite element method (FEM) and natural boundary element method(BEM). We first derive the optimal energy error estimate of the nonconforming approximation generated by this method. Then we apply a Dirichlet-Neumann(D-N) alternating algorithm to solve the coupled discrete system. It will be shown that such iterative method possesses the optimal convergence. The numerical experiments testify our theoretical results.
引用
收藏
页码：529 / 542
页数：14
相关论文
共 50 条
  • [31] A cell functional minimization scheme for domain decomposition method on non-orthogonal and non-matching meshes
    Yin, Li
    Wu, Jiming
    Yao, Yanzhong
    [J]. NUMERISCHE MATHEMATIK, 2014, 128 (04) : 773 - 804
  • [32] A mortar mimetic finite difference method on non-matching grids
    Markus Berndt
    Konstantin Lipnikov
    Mikhail Shashkov
    Mary F. Wheeler
    Ivan Yotov
    [J]. Numerische Mathematik, 2005, 102 : 203 - 230
  • [33] A cell functional minimization scheme for domain decomposition method on non-orthogonal and non-matching meshes
    Li Yin
    Jiming Wu
    Yanzhong Yao
    [J]. Numerische Mathematik, 2014, 128 : 773 - 804
  • [34] A Natural BEM with non-uniform grids on the elliptic boundary and its coupling method
    Zheng, Quan
    Guo, Xiu-hui
    Qin, Feng
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 : 552 - 562
  • [35] An analysis of the BEM-FEM non-overlapping domain decomposition method for a scattering problem
    Boubendir, Yassine
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 204 (02) : 282 - 291
  • [36] A coupling technique for non-matching finite element meshes
    Bitencourt, Luis A. G., Jr.
    Manzoli, Osvaldo L.
    Prazeres, Plinio G. C.
    Rodrigues, Eduardo A.
    Bittencourt, Tulio N.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 290 : 19 - 44
  • [37] A Domain Decomposition Method Based on Natural BEM and Mixed FEM for Stationary Stokes Equations on Unbounded Domains
    Yang, Ju'e
    Huang, Hongying
    Yu, Dehao
    [J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2012, 85 (04): : 347 - 366
  • [38] The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes
    Cautr'es, R
    Herbin, R
    Hubert, F
    [J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2004, 24 (03) : 465 - 490
  • [39] Fast algorithms for intersection of non-matching grids using Plucker coordinates
    Brezina, Jan
    Exner, Pavel
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (01) : 174 - 187
  • [40] The mortar method with approximate constraint: Coupling finite elements on unstructured non-matching grids in 3D
    Bertoluzza, S
    [J]. ICNAAM 2004: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2004, 2004, : 46 - 48
12345