On the Rate of Convergence of the Bergman-Vekua Method for the Numerical Solution of Elliptic Boundary Value Problems

We consider the Bergman-Vekua method of particular solutions for the numerical solution of elliptic boundary value problems. The rate of convergence is shown to depend on the smoothness of the solution or, equivalently for domains with smooth boundary, on the smoothness of the boundary data. For dom...

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Bibliographic Details

Published in:	SIAM journal on numerical analysis Vol. 11; no. 3; pp. 654 - 680
Main Author:	Eisenstat, Stanley C.
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.06.1974
Subjects:	Analytic functions Approximation Boundary value problems Coefficients Convergent boundaries Eigenvalues Mathematical integrals Partial differential equations Polynomials Sine function
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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