Convergence of an adaptive hp finite element strategy in one space dimension

被引：34
作者：
Doerfler, W. [1 ]
Heuveline, V. [1 ]
机构：
[1] Univ Karlsruhe, Inst Angew & Numer Math 2, D-76128 Karlsruhe, Germany
来源：
APPLIED NUMERICAL MATHEMATICS | 2007年 / 57卷 / 10期
关键词：
adaptive mesh refinement; a posteriori error estimates; convergence; hp version of the finite element method;
D O I：
10.1016/j.apnum.2006.10.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show uniform decrease in energy error for an hp-adaptive algorithm with automatic hp selection on the elliptic model boundary value problem. The result is based on a new marking strategy for the finite element refinement. In case of a solution with algebraic singularity we demonstrate that we achieve the known theoretical optimal error behavior. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：1108 / 1124
页数：17
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