DUAL-MIXED FINITE ELEMENT METHODS FOR THE NAVIER-STOKES EQUATIONS

被引：30

作者：

Howell, Jason S. ^{[1
]}

Walkington, Noel J. ^{[2
]}

机构：

[1] Coll Charleston, Dept Math, Charleston, SC 29424 USA

[2] Carnegie Mellon Univ, Dept Math, Pittsburgh, PA 15213 USA

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2013年 / 47卷 / 03期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes equations; mixed methods; SUPERCONVERGENT PATCH RECOVERY; NONSINGULAR SOLUTIONS; ELASTICITY ELEMENT; LINEAR ELASTICITY; SYMMETRY; FAMILY; APPROXIMATION; FORMULATION;

D O I：

10.1051/m2an/2012050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mixed finite element method for the Navier-Stokes equations is introduced in which the stress is a primary variable. The variational formulation retains the mathematical structure of the Navier-Stokes equations and the classical theory extends naturally to this setting. Finite element spaces satisfying the associated inf-sup conditions are developed.

引用

页码：789 / 805

页数：17

共 50 条

[1] MIXED FINITE ELEMENT METHODS FOR FRACTIONAL NAVIER-STOKES EQUATIONS
Li, Xiaocui
You, Xu
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 39 (01): : 130 - 146
[2] Stabilized mixed finite element methods for the Navier-Stokes equations with damping
Li, Zhenzhen
Shi, Dongyang
Li, Minghao
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (02) : 605 - 619
[3] Incompressible finite element methods for the Navier-Stokes equations
Raviart, P. A.
ADVANCES IN WATER RESOURCES, 1982, 5 (01) : 2 - 8
[4] FINITE-ELEMENT METHODS FOR NAVIER-STOKES EQUATIONS
GLOWINSKI, R
PIRONNEAU, O
ANNUAL REVIEW OF FLUID MECHANICS, 1992, 24 : 167 - 204
[5] MIXED FINITE ELEMENT METHODS FOR INCOMPRESSIBLE FLOW: STATIONARY NAVIER-STOKES EQUATIONS
Cai, Zhiqiang
Wang, Chunbo
Zhang, Shun
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 48 (01) : 79 - 94
[6] MIXED FINITE-ELEMENT SOLUTION FOR THE NAVIER-STOKES EQUATIONS
FIGUEROANIETO, J
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1984, 42 (01) : 89 - 106
[7] MIXED FINITE-ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS
JOHNSON, C
RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS, 1978, 12 (04): : 335 - 348
[8] A postprocessing mixed finite element method for the Navier-Stokes equations
Liu, Qingfang
Hou, Yanren
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2009, 23 (06) : 461 - 475
[9] A MIXED FINITE-ELEMENT APPROXIMATION OF THE NAVIER-STOKES EQUATIONS
LETALLEC, P
NUMERISCHE MATHEMATIK, 1980, 35 (04) : 381 - 404
[10] Least-squares mixed finite element methods for the incompressible Navier-Stokes equations
Gu, HM
Wu, XN
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2002, 18 (04) : 441 - 453

← 1 2 3 4 5 →