ON THE CONVERGENCE OF THE BILINEAR-VELOCITY CONSTANT-PRESSURE FINITE-ELEMENT METHOD IN VISCOUS-FLOW

被引：9

作者：

LETALLEC, P ^{[1
]}

RUAS, V ^{[1
]}

机构：

[1] PONTIFICIA UNIV CATOLICA,DEPT INFORMAT,BR-22453 RIO DE JANEIRO,BRAZIL

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1986年 / 54卷 / 02期

关键词：

ELASTICITY - Measurements - MATHEMATICAL TECHNIQUES - Finite Element Method;

D O I：

10.1016/0045-7825(86)90128-3

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we show that the standard isoparametric Q//1 multiplied by Q//0 velocity pressure finite element method for solving viscous flow problems leads to a fully and optimally convergent sequence of approximations, if an appropriate quadrangulation of the domain is used.

引用

页码：235 / 243

页数：9

共 12 条

[1] STABLE AND SEMISTABLE LOW ORDER FINITE-ELEMENTS FOR VISCOUS FLOWS [J].

BOLAND, JM ;

NICOLAIDES, RA .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (03) :474-492

[2] CONSISTENT VS REDUCED INTEGRATION PENALTY METHODS FOR INCOMPRESSIBLE MEDIA USING SEVERAL OLD AND NEW ELEMENTS [J].

ENGELMAN, MS ;

SANI, RL ;

GRESHO, PM ;

BERCOVIER, M .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1982, 2 (01) :25-42

[3]

Fortin M., 1982, METHODES LAGRANGIEN

[4]

GIRAULT V, 1979, FINITE ELEMENT APPRO

[5]

HUGHES TJR, 1978, COMPUT METH APPL MEC, V15, P63

[6]

JOHNSON C, 1980, ANAL SOME MIXED FINI

[7]

KIKUCHI N, 1982, INT J NUMER METHS EN, V18, P701

[8] COMPATIBILITY CONDITION AND EXISTENCE RESULTS IN DISCRETE FINITE INCOMPRESSIBLE ELASTICITY [J].

LETALLEC, P .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1981, 27 (02) :239-259

[9] A MIXED FINITE-ELEMENT APPROXIMATION OF THE NAVIER-STOKES EQUATIONS [J].

LETALLEC, P .

NUMERISCHE MATHEMATIK, 1980, 35 (04) :381-404

[10]

RUAS V, 1982, 10 PONT U CAT RIO DE

← 1 2 →