Dual-Mixed Finite Element Methods for the Navier-Stokes Equations

preprint2016arXivOpen access

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.

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