Adaptive Finite Element Approximations on Nonmatching Grids for Second-Order Elliptic Problems

被引：1

作者：

Chen, Hongsen ^{[1
]}

Ewing, Richard E. ^{[1
]}

Qin, Guan ^{[1
]}

机构：

[1] Texas A&M Univ, Inst Sci Computat, College Stn, TX 77840 USA

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 04期

关键词：

finite element; discontinuous Galerkin method; hanging nodes; a posteriori estimate; elliptic problem; DISCONTINUOUS GALERKIN METHODS; PENALTY;

D O I：

10.1002/num.20455

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we consider a finite element approximation for a model elliptic problem of second order on non-matching grids. This method combines the continuous finite element method with interior penalty discontinuous Galerkin method. As a special case, we develop a finite element method that is continuous on the matching part of the grid and is discontinuous on the nonmatching part. A residual type a posteriori error estimate is derived. Results of numerical experiments are presented. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 785-806, 2010

引用

页码：785 / 806

页数：22

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