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Boundary integral methods for the Laplace equation

Published online by Cambridge University Press:  17 April 2009

William McLean
Affiliation:
Department of Mathematics, Oregon State University, Corvallis, Oregon 97331-4605, United States of America.
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Abstract

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Type
Abstracts of Australian Ph.D. Theses
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Atkinson, K.E., “A survey of numerical methods for the solution of Fredholm Integral equations of the second kindSoc. Indust. Appl. Math., 1976.Google Scholar
[2]Atkinson, K. and de Hoog, F., “The numerical solution of Laplace's equation on a wedge”, IMA J. Numer. Anal. 4 (1984), 1941.CrossRefGoogle Scholar
[3]Chandler, G.A., “Galerkin's method for boundary integral equations on polygonal domains”, J. Austral. Math. Soc. Ser. B. 26 (1984) 113.Google Scholar
[4]Costabel, M. and Stephan, E., “Boundary integral equations for mixed boundary value problems and Galerkin approximation”, Banach Center Publ. (to appear).Google Scholar
[5]Fabes, E.B., Jodeit, M. and Lewis, J.E., “On the spectra of a Hardy Kernel”, J. Funct. Anal. 21 (1976), 187194.CrossRefGoogle Scholar
[6]Kondrat'ev, V.A., “Boundary problems for elliptic equations in domains with conical or angular points”, Trans. Moscow Math. Soc. 16 (1967), 227313.Google Scholar
[7]Kral, J., “Integral operators in potential theory”, Lecture Notes in Math. 823 (Springer-Verlag, 1980).Google Scholar
[8]Verchota, G., “Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains”, J. Funct. Anal. 59 (1984), 572611.CrossRefGoogle Scholar