On spline Galerkin methods for singular integral equations with piecewise continuous coefficients
type: Item
instance of: scholarly article
title: On spline Galerkin methods for singular integral equations with piecewise continuous coefficients
zbMATH Open document ID: 0619.65142
DOI: 10.1007/BF01389445
author: Andreas Rathsfeld
author: Siegfried Prössdorf
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133061
review text: A system of singular integral equations of Cauchy type with piecewise continuous coefficients is considered. The convergence of the Galerkin method with polynomial splines for such systems is investigated. The method is proved to be convergent only for strongly elliptic integral operators. Error estimates are provided for various partitions. It is the reviewer's opinion that the Galerkin method is far from being the most suitable one for singular integral equations [See \textit{T. S. Sankar}, \textit{S. V. Hoa} and the reviewer in Int. J. Numer. Methods Eng. 18, 503- 519 (1982; Zbl 0495.73073) and in Comput. Methods Appl. Mech. Eng. 29, 19-33 (1981; Zbl 0468.65067)].
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45F15
zbMATH DE Number: 4005565
zbMATH Keywords: piecewise continuous coefficients
zbMATH Keywords: convergence
zbMATH Keywords: Galerkin method
zbMATH Keywords: polynomial splines
zbMATH Keywords: Error estimates
MaRDI profile type: Publication
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OpenAlex ID: W1970397456
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description: scientific article; zbMATH DE number 4005565