A nodal coupling of finite and boundary elements

被引:4
作者
Sayas, FJ [1 ]
机构
[1] Univ Zaragoza CPS, Dept Matemat Aplicada, Zaragoza 50018, Spain
关键词
coupling; exterior problems; finite elements; boundary elements;
D O I
10.1002/num.10057
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article presents and analyzes a simple method for the exterior Laplace equation through the coupling of finite and boundary element methods. The main novelty is the use of a smooth parametric artificial boundary where boundary elements fit without effort together with a straight approximate triangulation in the bounded area, with the coupling done only in nodes. A numerically integrated version of the algorithm is also analyzed. Finally, an isoparametric variant with higher order is proposed. (C) 2003 Wiley Periodicals, Inc.
引用
收藏
页码:555 / 570
页数:16
相关论文
共 18 条
  • [1] [Anonymous], 1975, SOBOLEV SPACES PURE
  • [2] ATKINSON KE, 1997, CAMBRIDGE MONOGRAPHS, V4
  • [3] CIARLET P. G., 1978, The Finite Element Method for Elliptic Problems
  • [4] Costabel M., 1987, BOUNDARY ELEMENTS 9, V9, P411
  • [5] Asymptotic expansions of the error of spline Galerkin boundary element methods
    Crouzeix, M
    Sayas, FJ
    [J]. NUMERISCHE MATHEMATIK, 1998, 78 (04) : 523 - 547
  • [6] Gatica G.N., 1995, PITMAN RES NOTES MAT, V331
  • [7] GONZALEZ M, 2000, THESIS U OVIEDO
  • [8] HAN HD, 1990, J COMPUT MATH, V8, P223
  • [9] A GALERKIN COLLOCATION METHOD FOR SOME INTEGRAL-EQUATIONS OF THE 1ST KIND
    HSIAO, GC
    KOPP, P
    WENDLAND, WL
    [J]. COMPUTING, 1980, 25 (02) : 89 - 130
  • [10] JOHNSON C, 1980, MATH COMPUT, V35, P1063, DOI 10.1090/S0025-5718-1980-0583487-9