FINITE-ELEMENT ANALYSIS OF EXPONENTIALLY FITTED LUMPED SCHEMES FOR TIME-DEPENDENT CONVECTION-DIFFUSION PROBLEMS

被引：14

作者：

GUO, W ^{[1
]}

STYNES, M ^{[1
]}

机构：

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

来源：

NUMERISCHE MATHEMATIK | 1993年 / 66卷 / 03期

关键词：

Mathematics Subject Classification (1991): 65M60; 65M12;

D O I：

10.1007/BF01385702

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper we consider a singularly perturbed linear parabolic initial-boundary value problem in one space variable. Two exponential fitted schemes are derived for the problem using Petrov-Galerkin finite element methods with various choices of trial and test spaces. On rectangular meshes which are either arbitrary or slightly restricted, we derive global energy norm and L(2) norm and local L(infinity) error bounds which are uniform in the diffusion parameter. Numerical results are also presented.

引用

页码：347 / 371

页数：25

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