A note on the convergence of product integration and Galerkin method for weakly singular integral equations
type: Item
instance of: scholarly article
title: A note on the convergence of product integration and Galerkin method for weakly singular integral equations
zbMATH Open document ID: 0890.65140
DOI: 10.1016/S0377-0427(97)00108-8
author: Paola Baratella
published in: Journal of Computational and Applied Mathematics
publication date: 1997-12-14T00:00:00Z
review text: The paper deals with weakly singular Fredholm type integral equations, where the kernels and their derivatives satisfy algebraic conditions studied by \textit{G. Vainikko} and \textit{A. Pedas} [J. Aust. Math. Soc., Ser. B. 22, 419-430 (1981; Zbl 0475.65085)]. The author obtains the optimal convergence of product integration and Galerkin methods using piecewise polynomials on suitably graded meshes. For proper quadrature rules and iterated Galerkin solutions superconvergence results are obtained.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 1088840
zbMATH Keywords: weak singularities
zbMATH Keywords: graded mesh
zbMATH Keywords: weakly singular Fredholm type integral equations
zbMATH Keywords: convergence
zbMATH Keywords: product integration and Galerkin methods
zbMATH Keywords: superconvergence
reviewed by: Gunther Schmidt
MaRDI profile type: Publication
cites work: Q5635885
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full work available at URL: s0377-0427(97)00108-8
OpenAlex ID: W2081183028
description: scientific article; zbMATH DE number 1088840