Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (4): 440-452.

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INFINITE ELEMENT METHOD FOR PROBLEMS ON UNBOUNDED AND MULTIPLY CONNECTED DOMAINS

 YING Long-An   

  1. 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.

Abstract:

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.

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

CLC Number: 

  • 65N30
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