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

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