ANALYSIS OF A MIXED FINITE-ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS

被引：45

作者：

GIRAULT, V

RAVIART, PA

机构：

[1] Analyse Numérique, T55-65, Université Pierre et Marie Curie, Paris Cedex 05, 75230

来源：

NUMERISCHE MATHEMATIK | 1979年 / 33卷 / 03期

关键词：

Subject Classifications: AMS (MOS): 65N30; CR:; 5.17;

D O I：

10.1007/BF01398643

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A simple mixed finite element method is developed to solve the steady state, incompressible Navier-Stokes equations in a neighborhood of an isolated-but not necessarily unique-solution. Convergence is established under very mild restrictions on the triangulation, and, when the solution is sufficiently smooth, optimal error bounds are obtained. © 1979 Springer-Verlag.

引用

页码：235 / 271

页数：37

共 37 条

[1]

[Anonymous], 1977, MATH ASPECTS FINITE

[2] FINITE-ELEMENT ANALYSIS OF SLOW INCOMPRESSIBLE VISCOUS-FLUID MOTION [J].

ARGYRIS, JH ;

MARECZEK, G .

INGENIEUR ARCHIV, 1974, 43 (2-3) :92-109

[3]

Baker A. J., 1973, International Journal for Numerical Methods in Engineering, V6, P89, DOI 10.1002/nme.1620060110

[4]

BERCOVIER M, 1977, CR ACAD SCI A MATH, V285, P1085

[5]

BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129

[6]

BREZZI F, UNPUBLISHED

[7] NUMERICAL SOLUTION OF NAVIER-STOKES EQUATIONS BY FINITE-ELEMENT METHOD [J].

CHENG, RT .

PHYSICS OF FLUIDS, 1972, 15 (12) :2098-2105

[8]

Ciarlet P. G., 1972, Computer Methods in Applied Mechanics and Engineering, V1, P217, DOI 10.1016/0045-7825(72)90006-0

[9]

Ciarlet P.G., 1974, MATH ASPECTS FINITE, P125

[10]

Ciarlet P.G., 2002, FINITE ELEMENT METHO

← 1 2 3 4 →