期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 41, 期 5-6, 页码 735-756出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0898-1221(00)00317-5
关键词
goal-oriented error estimation; quantities of interest; error control; mesh adaptivity; upper and lower bounds
In this paper, we study a new approach in a posteriori error estimation, in which the numerical error of finite element approximations is estimated in terms of quantities of interest rather than the classical energy norm. These so-called quantities of interest are characterized by linear functionals on the space of functions to where the solution belongs. We present here the theory with respect to a class of elliptic boundary-value problems, and in particular, show how to obtain accurate estimates as well as upper and lower bounds on the error. We also study the new concept of goal-oriented adaptivity, which embodies mesh adaptation procedures designed to control error in specific quantities, Numerical experiments confirm that such procedures greatly accelerate the attainment of local features of the solution to preset accuracies as compared to traditional adaptive schemes based on energy norm error estimates. (C) 2001 Elsevier Science Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据