A GOAL-ORIENTED ADAPTIVE FINITE ELEMENT METHOD WITH CONVERGENCE RATES

被引：38
|
作者：
Mommer, Mario S. [1 ]
Stevenson, Rob [2 ]
机构：
[1] Univ Heidelberg, Interdisciplinary Ctr Sci Comp IWR, D-69120 Heidelberg, Germany
[2] Univ Amsterdam, Korteweg de Vries Inst Math, NL-1018 TV Amsterdam, Netherlands
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2009年 / 47卷 / 02期
关键词：
adaptive finite element method; convergence rates; computational complexity; quantity of interest; a posteriori error estimators; STOKES PROBLEM; ALGORITHM; REFINEMENT; BISECTION; FEM;
D O I：
10.1137/060675666
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An adaptive finite element method is analyzed for approximating functionals of the solution of symmetric elliptic second order boundary value problems. We show that the method converges and derive a favorable upper bound for its convergence rate and computational complexity. We illustrate our theoretical findings with numerical results.
引用
收藏
页码：861 / 886
页数：26
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