A NONCONFORMING FINITE-ELEMENT METHOD FOR A SINGULARLY PERTURBED BOUNDARY-VALUE PROBLEM

被引：5

作者：

ADAM, D ^{[1
]}

FELGENHAUER, A ^{[1
]}

ROOS, HG ^{[1
]}

STYNES, M ^{[1
]}

机构：

[1] NATL UNIV IRELAND UNIV COLL CORK,DEPT MATH,CORK,IRELAND

来源：

COMPUTING | 1995年 / 54卷 / 01期

关键词：

SINGULAR PERTURBATION; FINITE ELEMENT METHOD; UNIFORM CONVERGENCE;

D O I：

10.1007/BF02238077

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We analyze a new nonconforming Petrov-Galerkin finite element method for solving linear singularly perturbed two-point boundary value problems without turning points. The method is shown to be convergent, uniformly in the perturbation parameter, of order h1/2 in a norm slightly stronger than the energy norm. Our proof uses a new abstract convergence theorem for Petrov-Galerkin finite element methods.

引用

页码：1 / 25

页数：25

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