INFINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS

被引:0
|
作者
YING, LA
机构
关键词
INFINITE ELEMENT METHOD; ELLIPTIC EQUATIONS; SINGULARITY; INTERFACE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An infinite element method for solving elliptic equations with variable coefficients is presented in this paper. For those solutions which possess singularities, very accurate singular numerical solutions can be obtained with a small scale of computation; besides, it is unnecessary to know the order of singularity of the solutions or the analytic expressions of particular solutions in advance. A numerical example is given in contrast with the finite element method.
引用
收藏
页码:1438 / 1447
页数:10
相关论文
共 50 条
  • [1] INFINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS
    应隆安
    Science China Mathematics, 1991, (12) : 1438 - 1447
  • [2] A cell boundary element method for elliptic problems
    Jeon, Y
    Park, EJ
    Sheen, D
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2005, 21 (03) : 496 - 511
  • [3] Virtual element method for quasilinear elliptic problems
    Cangiani, A.
    Chatzipantelidis, P.
    Diwan, G.
    Georgoulis, E. H.
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 40 (04) : 2450 - 2472
  • [4] A FINITE ELEMENT METHOD FOR NONLINEAR ELLIPTIC PROBLEMS
    Lakkis, Omar
    Pryer, Tristan
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2013, 35 (04): : A2025 - A2045
  • [5] The gradient-finite element method for elliptic problems
    Faragó, I
    Karátson, J
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (8-9) : 1043 - 1053
  • [6] A mortar element method for elliptic problems with discontinuous coefficients
    Huang, JG
    Zou, J
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2002, 22 (04) : 549 - 576
  • [7] Superconvergence of finite volume element method for elliptic problems
    Tie Zhang
    Advances in Computational Mathematics, 2014, 40 : 399 - 413
  • [8] INFINITE ELEMENT METHOD FOR THE EXTERIOR PROBLEMS OF THE HELMHOLTZ EQUATIONS
    Lung-an Ying (School of Mathematical Sciences
    Journal of Computational Mathematics, 2000, (06) : 657 - 672
  • [9] Numerical solution of elliptic problems by the wavelet element method
    Canuto, C
    Tabacco, A
    Urban, K
    ENUMATH 97 - 2ND EUROPEAN CONFERENCE ON NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, 1998, : 17 - 37
  • [10] The nonconforming virtual element method for semilinear elliptic problems
    Xiao, Liuchao
    Zhou, Meng
    Zhao, Jikun
    Applied Mathematics and Computation, 2022, 433