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.
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页码：1 / 25
页数：25
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