A posteriori error estimates in the finite element method for elliptic BVP with degeneration

被引：0

作者：

Timerbaev, M. R. ^{[1
]}

机构：

[1] Kazan Fed Univ, Kazan, Russia

来源：

DIFFERENTIAL EQUATIONS | 2014年 / 50卷 / 07期

基金：

俄罗斯基础研究基金会;

关键词：

LOCAL REGULARIZATION; INTERPOLATION;

D O I：

10.1134/S0012266114070118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of elliptic boundary value problems with degenerating coefficients for which we construct FEM schemes with optimal convergence on the basis of multiplicative extraction of the singularity. For a scale of weighted Sobolev norms including the energy norm of the differential operator, we prove a posteriori estimates for the error of the discrete solutions.

引用

页码：955 / 970

页数：16

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