A boundary integral equation for the solution of a class of problems in anisotropic inhomogeneous thermostatics and elastostatics
Authors:
David L. Clements and C. Rogers
Journal:
Quart. Appl. Math. 41 (1983), 99-105
MSC:
Primary 73U05; Secondary 35J15, 73-08
DOI:
https://doi.org/10.1090/qam/700664
MathSciNet review:
700664
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Abstract: The solution of an important class of boundary-value problems in anisotropic inhomogeneous thermostatics and elastostatics is obtained in terms of a boundary integral equation. The equation may be used as a basis for the numerical solution of particular boundary-value problems.
T. A. Cruse and J. C. Lachat (eds.), Proceedings of the International Symposium on Innovative Numerical Analysis in Applied Engineering Science (Versailles, France, 1977)
T. A. Cruse and F. J. Rizzo (eds.), Boundary integral equation method: Computational applications in applied mechanics (ASME Proceedings, AMD, Vol. II, 1975)
- D. L. Clements, A boundary integral equation method for the numerical solution of a second order elliptic equation with variable coefficients, J. Austral. Math. Soc. Ser. B 22 (1980/81), no. 2, 218–228. MR 594006, DOI https://doi.org/10.1017/S0334270000002290
- Stefan Bergman, Integral operators in the theory of linear partial differential equations, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 23, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1961. MR 0141880
- David L. Clements, Boundary value problems governed by second order elliptic systems, Monographs and Studies in Mathematics, vol. 12, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1981. MR 634796
T. A. Cruse and J. C. Lachat (eds.), Proceedings of the International Symposium on Innovative Numerical Analysis in Applied Engineering Science (Versailles, France, 1977)
T. A. Cruse and F. J. Rizzo (eds.), Boundary integral equation method: Computational applications in applied mechanics (ASME Proceedings, AMD, Vol. II, 1975)
D. L. Clements, A boundary integral equation method for the numerical solution of a second order elliptic equation with variable coefficients, J. Aust. Math. Soc. (Series B) 22, 218–228 (1980)
S. Bergman, Integral operators in the theory of linear partial differential equations, Springer-Verlag, 1971
D. L. Clements, Boundary value problems governed by second order elliptic systems, Pitman, 1981
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Article copyright:
© Copyright 1983
American Mathematical Society
