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
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页码：785 / 806
页数：22
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