A NEW FINITE-ELEMENT FORMULATION FOR COMPUTATIONAL FLUID-DYNAMICS .9. FOURIER-ANALYSIS OF SPACE-TIME GALERKIN LEAST-SQUARES ALGORITHMS

被引：118

作者：

SHAKIB, F ^{[1
]}

HUGHES, TJR ^{[1
]}

机构：

[1] STANFORD UNIV,DIV APPL MECH,STANFORD,CA 94305

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1991年 / 87卷 / 01期

关键词：

D O I：

10.1016/0045-7825(91)90145-V

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A Fourier stability and accuracy analysis of the space-time Galerkin/least-squares method as applied to a time-dependent advective-diffusive model problem is presented. Two time discretizations are studied: a constant-in-time approximation and a linear-in-time approximation. Corresponding space-time predictor multi-corrector algorithms are also derived and studied. The behavior of the space-time algorithms is compared to algorithms based on semidiscrete formulations.

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页码：35 / 58

页数：24

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