Conditional ε-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems

被引：0
|
作者：
I. A. Blatov
N. V. Dobrobog
E. V. Kitaeva
机构：
[1] Volga State University of Telecommunications and Informatics,
来源：
Computational Mathematics and Mathematical Physics | 2016年 / 56卷
关键词：
singularly perturbed boundary value problem; Galerkin projector; Shishkin mesh; adaptive algorithms;
D O I：
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中图分类号：
学科分类号：
摘要：
The Galerkin finite element method is applied to nonself-adjoint singularly perturbed boundary value problems on Shishkin meshes. The Galerkin projection method is used to obtain conditionally ε-uniform a priori error estimates and to prove the convergence of a sequence of meshes in the case of an unknown boundary layer edge.
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页码：1293 / 1304
页数：11
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