A GLOBALLY UNIFORMLY CONVERGENT FINITE-ELEMENT METHOD FOR A SINGULARLY PERTURBED ELLIPTIC PROBLEM IN 2 DIMENSIONS

被引：75

作者：

ORIORDAN, E ^{[1
]}

STYNES, M ^{[1
]}

机构：

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

来源：

MATHEMATICS OF COMPUTATION | 1991年 / 57卷 / 195期

关键词：

D O I：

10.2307/2938662

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze a new Galerkin finite element method for numerically solving a linear convection-dominated convection-diffusion problem in two dimensions. The method is shown to be convergent, uniformly in the perturbation parameter, of order h1/2 in a global energy norm which is stronger than the L2 norm. This order is optimal in this norm for our choice of trial functions.

引用

页码：47 / 62

页数：16

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