CONVERGENCE ANALYSES OF GALERKIN LEAST-SQUARES METHODS FOR SYMMETRICAL ADVECTIVE DIFFUSIVE FORMS OF THE STOKES AND INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：108

作者：

FRANCA, LP ^{[1
]}

HUGHES, TJR ^{[1
]}

机构：

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

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1993年 / 105卷 / 02期

关键词：

D O I：

10.1016/0045-7825(93)90126-I

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations are presented. The Galerkin least-squares method for advective-diffusive equations is used for both systems and is related to other stabilized methods previously studied. The presentation reveals that the convergence analysis for advective-diffusive equations, as applied before to a linearized form of the compressible Navier-Stokes equations, carries over in a straightforward manner to the Stokes problem and to a linearized form of the incompressible Navier-Stokes equations.

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页码：285 / 298

页数：14

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