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A note on the boundary integral equation method for the solutions of second order elliptic equations

Published online by Cambridge University Press:  17 February 2009

D. L. Clements ,
M. Haselgrove  and
D. M. Barnett
D. L. Clements
Affiliation:
Department of Applied Mathematics, University of Adelaide, S. A. 5000.
M. Haselgrove
Affiliation:
Department of Applied Mathematics, University of Adelaide, S. A. 5000.
D. M. Barnett
Affiliation:
Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, U.S.A.
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Abstract

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The boundary integral equation method is obtained by expressing a solution to a particular partial differential equation in terms of an integral taken round the boundary of the region under consideration. Various methods exist for the numerical solution of this integral equation and the purpose of this note is to outline an improvement to one of these procedures.

Type
Research Article
Information
The ANZIAM Journal , Volume 26 , Issue 4 , April 1985 , pp. 415 - 421
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Clements, D. L., Boundary value problems governed by second order elliptic systems (Pitman, London, 1981).Google Scholar
[2]Clements, D. L. and Jones, O. A. C., “The boundary integral equation method for the solution of a class of problems in anisotropic elasticity”, J. Austral. Math. Soc. Ser. B 22 (1981), 394–407.CrossRefGoogle Scholar
[3]Clements, D. L. and Rizzo, F. J., “A method for the numerical solution of boundary value problems governed by second order elliptic systems”, J. Inst. Math. Appl. 22 (1978), 197–202.Google Scholar
[4]Jaswon, M. A. and Symm, G. T., Integral equation methods in potential theory and elastostatics (Academic Press, London, 1977).Google Scholar