INFINITE ELEMENT METHOD FOR PROBLEMS ON UNBOUNDED AND MULTIPLY CONNECTED DOMAINS

数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (4): 440-452.

INFINITE ELEMENT METHOD FOR PROBLEMS ON UNBOUNDED AND MULTIPLY CONNECTED DOMAINS

应隆安

School of Mathematical Sciences, Peking University, Beijing 100871, China

出版日期:2001-10-06 发布日期:2001-10-06
基金资助:
This work was supported by the China State Major Key Project for Basic Researches and the Science Fund of the Ministry of Education of China.

INFINITE ELEMENT METHOD FOR PROBLEMS ON UNBOUNDED AND MULTIPLY CONNECTED DOMAINS

YING Long-An

School of Mathematical Sciences, Peking University, Beijing 100871, China

Online:2001-10-06 Published:2001-10-06
Supported by:
This work was supported by the China State Major Key Project for Basic Researches and the Science Fund of the Ministry of Education of China.

摘要/Abstract

摘要：

The author studies the infinite element method for the boundary value prob-lems of second order elliptic equations on unbounded and multiply connected domains.The author makes a partition of the domain into infinite number of elements. Without dividing the domain, as usual, into a bounded one and an exterior one, he derives an ini-tial value problem of an ordinary differential equation for the combined stiffness matrix,
then obtains the approximate solution with a small amount of computer work. Numerical examples are given.

关键词: Finite element method, infinite element method, unbounded domain, mul-tiply connected domain

Abstract:

Key words: Finite element method, infinite element method, unbounded domain, mul-tiply connected domain

中图分类号:

65N30

应隆安. INFINITE ELEMENT METHOD FOR PROBLEMS ON UNBOUNDED AND MULTIPLY CONNECTED DOMAINS[J]. 数学物理学报(英文版), 2001, 21(4): 440-452.

YING Long-An. INFINITE ELEMENT METHOD FOR PROBLEMS ON UNBOUNDED AND MULTIPLY CONNECTED DOMAINS[J]. Acta mathematica scientia,Series B, 2001, 21(4): 440-452.

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[2]	岳兴业. LOCAL ERROR ESTIMATES FOR METHODS OF CHARACTERISTICS INCORPORATING STREAMLINE DIFFUSION[J]. 数学物理学报(英文版), 2002, 22(4): 464-576.
[3]	陈绍春, 石东洋. ACCURACY ANALYSIS FOR QUASI-WILSON ELEMENT[J]. 数学物理学报(英文版), 2000, 20(1): 44-48.

INFINITE ELEMENT METHOD FOR PROBLEMS ON UNBOUNDED AND MULTIPLY CONNECTED DOMAINS

INFINITE ELEMENT METHOD FOR PROBLEMS ON UNBOUNDED AND MULTIPLY CONNECTED DOMAINS

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