RELIABILITY AND OPTIMALITY OF THE FINITE-ELEMENT METHOD

被引：23

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：

COMPUTERS & STRUCTURES | 1979年 / 10卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0045-7949(79)90076-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An overview is presented of the authors' recent theoretical and experimental results on reliable and computationally efficient a-posteriori error bounds for finite element solutions. These estimates are composed from error indicators evaluated on the individual elements, and these indicators in turn allow for a very effective approach to the effective construction of optimal meshes. Finally, some views are presented about possible future trends in the development of finite element software and an outline is given of the design of an experimental finite element system currently under development which incorporates many of these ideas and results. © 1979.

引用

页码：87 / 94

页数：8

共 12 条

[1]

Norrie, de Vries, A Finite Element Bibliography, (1976)

[2]

The Finite Element Method, Smithsonian Science Information Exchange, Publ. KSO 2–51, (1977)

[3]

Babuska, Rheinboldt, Error estimates for adaptive finite element computations, University of Maryland, Institute for Phy. Sci. and Tech. Tech. Note BN-854 (May 1977) SIAM J. Num. Anal., 15, 4, (1978)

[4]

Babuska, Rheinboldt, Computational aspects of finite element analysis, Mathematical Software, 3, pp. 225-255, (1977)

[5]

Babuska, Rheinboldt, A-posteriori error estimates for the finite element method, University of Maryland, Comp. Sci. Tech. Rep. TR-581, (1977)

[6]

Int. J. Numer. Meth. Engng, (1978)

[7]

Babuska, Rheinboldt, Analysis of optimal finite element meshes in R<sup>1</sup>, University of Maryland, Institute for Phys. Sci. and Tech. Tech. Note BN-869, (1978)

[8]

Bergh, Lofstrom, Interpolation Spaces. An Introduction, (1976)

[9]

Babuska, Finite element method for domains with corners, Computing, 6, pp. 264-273, (1970)

[10]

Peano, Szabo, Mehta, Self-adaptive finite elements in fracture mechanics, Presented at Symp. Innovative Num. Analysis in Appl. Engng Sci., (1977)

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