## Divergence-free-preserving discretizations of incompressible flow

- Nov. 18, 2016
- 1:15 p.m.
- LeConte 312

## Abstract

We construct conforming finite element spaces for the Stokes and Navier--Stokes problem in two and three dimensions that yield divergence--free velocity approximations. The derivation of the finite element pairs is motivated by a smooth de Rham complex that is well--suited for the Stokes problem. We discuss the stability and convergence properties of the new elements and outline the construction of reduced elements that have fewer unknowns.