Estimates for the rate of convergence of the galerkin method for abstract hyperbolic equations

被引：0

作者：

Zhelezovskii, SE ^{[1
]}

机构：

[1] Publ Serv Acad Povolzhe, Saratov, Russia

来源：

MATHEMATICAL NOTES | 2001年 / 69卷 / 1-2期

关键词：

Galerkin method; finite-element method; rate of convergence; semidiscrete approximation; hyperbolic equation; Hilbert space;

D O I：

10.1023/A:1002872318879

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the fate of convergence of the semidiscrete Galerkin method for linear hyperbolic equations in a Hilbert space. We establish asymptotic estimates for the error arising as a result of the arbitrariness in the choice of subspaces in which the approximation problems are solved.

引用

页码：196 / 206

页数：11

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