Adaptive Crank-Nicolson methods with dynamic finite-element spaces for parabolic problems

被引：0
|
作者：
Kim, Dongho [1 ]
Park, Eun-Jae [2 ]
机构：
[1] Yonsei Univ, Dept Univ Coll, Seoul 120749, South Korea
[2] Yonsei Univ, Dept Math, Seoul 120749, South Korea
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2008年 / 10卷 / 04期
关键词：
adaptive mesh; discontinuous Galerkin method; a posteriori error estimators; Crank-Nicolson reconstruction; Crank-Nicolson schemes;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a posteriori error estimators for approximate solutions of linear parabolic equations. We consider discretizations of the problem by modified discontinuous Galerkin schemes in time and continuous Galerkin methods in space. Especially, finite element spaces are permitted to change at different time levels. Exploiting Crank-Nicolson reconstruction idea introduced by Akrivis, Makridakis & Nochetto [2], we derive space-time a posteriori error estimators of second order in time for the Crank-Nicolson-Galerkin finite element method.
引用
收藏
页码：873 / 886
页数：14
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