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A boundary integral equation method for the numerical solution of a second order elliptic equation with variable coefficients

Published online by Cambridge University Press:  17 February 2009

D. L. Clements
D. L. Clements
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide South, Australia, 5000
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Abstract

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A method is derived for the solution of boundary value problems governed by a second-order elliptic partial differential equation with variable coefficients. The method is obtained by expressing the solution to a particular problem in terms of an integral taken round the boundary of the region under consideration.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 2 , October 1980 , pp. 218 - 228
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Bergman, S., Integral operators in the theory of linear partial differential equations (Springer-Verlag, 1971).Google Scholar
[2]Clements, D. L. and King, G., “A method for the numerical solution of problems governed by elliptic systems in the Cut plane”, J. Inst. Maths. Applics. 24 (1979), 81–93.CrossRefGoogle Scholar
[3]Clements, D. L. and Rogers, C., “Wave propagation in inhomogeneous elastic media with (N + 1)- dimensional spherical symmetry”, Canadian J. Phys. 52 (1974), 1246–1252.CrossRefGoogle Scholar
[4]Cruse, T. A. and Lachat, J. C. (Eds.), Proceedings of the international symposium on innovative numerical analysis in applied engineering science (Versailles, France, 1977).Google Scholar
[5]Cruse, T. A. and Rizzo, F. J. (Eds.), Boundary integral equation method: Computational applications in applied mechanics (ASME Proceedings. AMD, Vol. 2, 1975).Google Scholar
[6]Zienkiewicz, O. C., Kelly, D. W. and Bettess, P., “The coupling of the finite element method and boundary solution procedures”, Int. J. Num. Meth. Engng 11 (1977), 355–375.CrossRefGoogle Scholar