Publication at Faculty of Mathematics and Physics |
2004
Abstract
We consider the application of the nonconforming P1mod element to the approximation of the velocity in the incompressible Stokes and Navier-Stokes equations. We prove the uniform validity of an inf-sup condition if the pressure is approximated by piecewise constant functions.
Under additional assumptions, we also prove the inf-sup condition for discontinuous piecewise linear approximations of the pressure.