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INFINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS 被引量:2

INFINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS
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摘要 An infinite element method for solving elliptic equations with variable coefficients ispresented in this paper. For those solutions which possess singularities,very accurate singu-lar numerical solutions can be obtained with a small scale of computation; besides, it isunnecessary to know the order of singularity of the solutions or the analytic expressionsof particular solutions in advance. A numerical example is given in contrast with the finiteelement method. An infinite element method for solving elliptic equations with variable coefficients ispresented in this paper. For those solutions which possess singularities,very accurate singu-lar numerical solutions can be obtained with a small scale of computation; besides, it isunnecessary to know the order of singularity of the solutions or the analytic expressionsof particular solutions in advance. A numerical example is given in contrast with the finiteelement method.
作者 应隆安
出处 《Science China Mathematics》 SCIE 1991年第12期1438-1447,共10页 中国科学:数学(英文版)
关键词 INFINITE ELEMENT method ELLIPTIC EQUATIONS SINGULARITY interface. infinite element method elliptic equations singularity interface.
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同被引文献27

  • 1Lung-an Ying (School of Mathematical Sciences, Peking University, Beijing 100871, China).INFINITE ELEMENT METHOD FOR THE EXTERIOR PROBLEMS OF THE HELMHOLTZ EQUATIONS[J].Journal of Computational Mathematics,2000,18(6):657-672. 被引量:2
  • 2应隆安,魏万明.轴对称Stokes流的无限元逼近(Ⅱ)[J].计算数学,1993,15(2):129-142. 被引量:3
  • 3应隆安.THE INFINITE SIMILAR ELEMENT METHOD FOR CALCULATING STRESS INTENSITY FACTORS[J]Science in China,Ser.A,1978(01). 被引量:1
  • 4Ying L -a.Infinite element approximation to axial symmetric Stokes flow. Journal of Computational Mathematics . 1986 被引量:1
  • 5Ying L -a,Han H D.On the infinite element method for unbounded domain and nonhomogeneous problems. Acta Mathematica Sinica . 1980 被引量:1
  • 6Angelov T A and Ivanov Ts Ps.Finite-infinite element analysis of P-and SV-wave propagation in a semi-bounded medium. Computers and Structures . 1995 被引量:1
  • 7G. Beer.Infinite Domain Elements in Finite Element Analysis of Underground Excavations. International Journal for Numerical and Analytical Methods in Geomechanics . 1983 被引量:1
  • 8Ciarlet,PG. The finite element method for elliptic problems . 1978 被引量:1
  • 9R. Leis.Initial-boundary value problems in mathematical physics. . 1986 被引量:1
  • 10Thatcher,R. W.Singularities in the solution of Laplace’s equation in two dimensions. Journal of the Institute of Mathematics and its Applications . 1975 被引量:1

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