STABILIZED BILINEAR CONSTANT VELOCITY PRESSURE FINITE-ELEMENTS FOR THE CONJUGATE-GRADIENT SOLUTION OF THE STOKES PROBLEM

被引：93

作者：

SILVESTER, DJ

KECHKAR, N

机构：

[1] Department of Mathematics, University of Manchester Institute of Science and Technology, Manchester

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1990年 / 79卷 / 01期

关键词：

D O I：

10.1016/0045-7825(90)90095-4

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a sufficient condition for the stability of low-order mixed finite element methods is introduced. To illustrate the possibilities, two stabilisation procedures for the popular Q1-P0 mixed method are theoretically analysed. The effectiveness of these procedures in practice is assessed by comparing results with those obtained using a conventional penalty formulation, for a standard test problem. It is demonstrated that with appropriate stabilisation, efficient iterative solution techniques of conjugate gradient type can be applied directly to the discrete Stokes system. © 1990.

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页码：71 / 86

页数：16

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