ADAPTIVE APPROACHES AND RELIABILITY ESTIMATIONS IN FINITE-ELEMENT ANALYSIS

被引：105

作者：

BABUSKA, I

RHEINBOLDT, WC

机构：

[1] Institute for Physical Science and Technology, University of Maryland, College Park

[2] Computer Science Center, University of Maryland, College Park

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1979年 / 17-8卷 / MAR期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0045-7825(79)90042-2

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An overview is presented of the authors' recent theoretical and experimental results on reliable and computationally efficient a posteriori error estimates for finite element solutions. Basically, error indicators are evaluated on the individual elements, and from these an estimate of the error in the energy norm is composed. Up to now this theory of a posteriori estimates has been developed only for linear problems. Here it is indicated how the results can be extended to the nonlinear case without losing their effectivity. The error indicators also allow for a very effective approach to an adaptive design of finite element meshes that are (nearly) optimal in a certain sense. Finally, we outline the design of an experimental finite element system now under development which incorporates many of these ideas and results. Its principal goal is to produce (near) optimal finite element solutions within a prescribed cost range. © 1979.

引用

页码：519 / 540

页数：22