A note on the convergence of product integration and Galerkin method for weakly singular integral equations

被引：7

作者：

Baratella, P ^{[1
]}

机构：

[1] POLITECN TORINO, DIPARTIMENTO MATEMAT, I-10129 TURIN, ITALY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1997年 / 85卷 / 01期

关键词：

weak singularities; Galerkin method; product integration; graded mesh;

D O I：

10.1016/S0377-0427(97)00108-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider weakly singular integral equations of Fledholm-type whose kernels satisfy certain algebraic estimates with their derivatives. In particular, we establish optimal convergence order estimates for product integration and Galerkin method applied on suitable grading mesh for the solution of such equations. Some superconvergence results are also derived.

引用

页码：11 / 18

页数：8

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