Some remarks on structural relations between the tan method and the finite element method

被引：3

作者：

Ortiz, EL ^{[1
]}

Dinh, APN ^{[1
]}

机构：

[1] FAC SCI, DEPT MATH & INFORMAT, UFR, F-45067 ORLEANS, FRANCE

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1997年 / 33卷 / 04期

关键词：

Finite Element Method; Tan Method; Spectral Method; collocation; theory of numerical methods;

D O I：

10.1016/S0898-1221(97)00010-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss structural relations between the Tau Method and the Finite Element Method (discrete step h). For a Dirichlet problem in dimensions one and two, we show that the difference between the solution given by each of these methods is bounded by Ch in the norm of the Sobolev space H-0(1) (Omega).

引用

页码：105 / 113

页数：9

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