A novel nonconforming uniformly convergent finite element method in two dimensions

被引：10
作者：
Roos, HG
Adam, D
Felgenhauer, A
机构：
[1] Institut of Numerical Mathematics, Technical University of Dresden
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 201卷 / 03期
关键词：
D O I：
10.1006/jmaa.1996.0283
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a new analysis of a nonconforming Galerkin finite element method for solving linear elliptic singularly perturbed boundary value problems for rectangular domains. In the case of ordinary boundary layers the method is shown to be convergent uniformly with respect to the perturbation parameter of order h(1/2) in the energy norm. The trial functions are exponentials fitted to the differential operator. (C) 1996 Academic Press, Inc.
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页码：715 / 755
页数：41
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