Three-dimensional finite element methods for the Stokes problem

被引：69

作者：

Boffi, D

机构：

[1] Dipartimento di Matematica, Università di Pavia, 27100 Pavia

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1997年 / 34卷 / 02期

关键词：

Stokes; finite element;

D O I：

10.1137/S0036142994270193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The tetrahedral finite element approximation of the Stokes problem is analyzed by means of polynomials piecewise of degree k + 1 for the velocity and continuous piecewise of degree k for the pressure. A stability result is given for every k greater than or equal to 1.

引用

页码：664 / 670

页数：7

共 50 条

[1] Finite element methods for the Stokes system in three-dimensional exterior domains
Deuring, P
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1997, 20 (03) : 245 - 269
[2] Three-dimensional Stokes flow solution using combined boundary element and finite element methods
Young, DL
Liu, YH
Eldho, TI
CHINESE JOURNAL OF MECHANICS-SERIES A, 1999, 15 (04): : 169 - 176
[3] Methods for connecting dissimilar three-dimensional finite element meshes
Dohrmann, CR
Key, SW
Heinstein, MW
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2000, 47 (05) : 1057 - 1080
[4] A nonconforming finite element method for a three-dimensional problem of the elasticity theory
Kalinkin, A.
Laevsky, Yu. M.
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2006, 21 (04) : 273 - 304
[5] Refined mixed finite element methods for the Stokes problem
ElBouzid, H
Nicaise, S
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 322 (11): : 1075 - 1080
[6] Finite element methods for the Stokes problem on complicated domains
Peterseim, Daniel
Sauter, Stefan A.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (33-36) : 2611 - 2623
[7] Investigation of linear dependence problem of three-dimensional partition of unity-based finite element methods
An, X. M.
Zhao, Z. Y.
Zhang, H. H.
Li, L. X.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 233 : 137 - 151
[8] Pseudo three-dimensional finite element
Triche, MH
Richardson, JA
JOURNAL OF STRUCTURAL ENGINEERING-ASCE, 1996, 122 (07): : 832 - 835
[9] Comparison of slope stabilization methods by three-dimensional finite element analysis
Usluogullari, Omer F.
Temugan, Ahmet
Duman, Esra S.
NATURAL HAZARDS, 2016, 81 (02) : 1027 - 1050
[10] Comparison of slope stabilization methods by three-dimensional finite element analysis
Omer F. Usluogullari
Ahmet Temugan
Esra S. Duman
Natural Hazards, 2016, 81 : 1027 - 1050

← 1 2 3 4 5 →