Mixed finite element methods with discontinuous pressures for the axisymmetric Stokes problem

被引：8

作者：

Ruas, V

机构：

[1] Univ Paris 06, Modelisat Mecan Lab, F-75252 Paris 05, France

[2] Univ St Etienne, Fac Sci & Tech, St Etienne, France

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2003年 / 83卷 / 04期

关键词：

D O I：

10.1002/zamm.200310032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two methods for solving the Stokes system in the axisymmetric case are studied. Both are designed for the standard Galerkin formulation, and use discontinuous pressure spaces. The first method is a rectangular based Q(2)-P-1 method due to Fortin. The other one is the so-called Crouzeix-Raviart triangle. Both methods are proven to be second order convergent in the natural weighted Sobolev norms, for the system under consideration.

引用

下载

页码：249 / 264

页数：16

共 50 条

[31] AUGMENTED MIXED FINITE ELEMENT METHODS FOR THE STATIONARY STOKES EQUATIONS
Figueroa, Leonardo E.
Gatica, Gabriel N.
Marquez, Antonio
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 31 (02): : 1082 - 1119
[32] A conforming discontinuous Galerkin finite element method for the Stokes problem on polytopal meshes
Ye, Xiu
Zhang, Shangyou
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2021, 93 (06) : 1913 - 1928
[33] A taxonomy of consistently stabilized finite element methods for the Stokes problem
Barth, T
Bochev, P
Gunzburger, M
Shadid, J
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2004, 25 (05): : 1585 - 1607
[34] Finite element methods for the Stokes problem in R3
Hong, S
Lee, S
APPLIED MATHEMATICS LETTERS, 2000, 13 (06) : 127 - 132
[35] Three-dimensional finite element methods for the Stokes problem
Boffi, D
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1997, 34 (02) : 664 - 670
[36] ON THE ERROR ANALYSIS OF STABILIZED FINITE ELEMENT METHODS FOR THE STOKES PROBLEM
Stenberg, Rolf
Videman, Juha
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 53 (06) : 2626 - 2633
[37] Connections between discontinuous Galerkin and nonconforming finite element methods for the Stokes equations
Becker, Roland
Capatina, Daniela
Joie, Julie
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2012, 28 (03) : 1013 - 1041
[38] Superconvergence of finite element approximations for the Stokes problem by projection methods
Wang, JP
Ye, X
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2001, 39 (03) : 1001 - 1013
[39] High order cut finite element methods for the Stokes problem
Johansson A.
Larson M.G.
Logg A.
Advanced Modeling and Simulation in Engineering Sciences, 2 (1)
[40] Stable finite element methods with divergence augmentation for the Stokes problem?
Kim, K
Lee, S
APPLIED MATHEMATICS LETTERS, 2001, 14 (03) : 321 - 326

← 1 2 3 4 5 →