OPTIMAL H-P FINITE-ELEMENT METHODS

被引：33

作者：

ODEN, JT

机构：

[1] Texas Institute for Computational and Applied Mathematics, the University of Texas at Austin

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1994年 / 112卷 / 1-4期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0045-7825(94)90032-9

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A theory of optimal Petrov-Galerkin, h-p version, finite element approximations is presented. The optimal scheme is defined relative to a fine mesh solution space and relative to an arbitrary symmetric bilinear form. The optimal method leads to a symmetric, positive-definite stiffness matrix which is independent of the coefficients of the given problem, exhibits 'extra superconvergence' properties, and has a relative error that can be calculated exactly, at each point in the problem domain. Various generalizations are also discussed, including the connection of these methods with certain preconditioning schemes.

引用

页码：309 / 331

页数：23

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