Dual-mixed finite element methods for the navier-stokes equations

Abstract

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. © EDP Sciences, SMAI 2013.