I: Periodic boundary conditions Nonstandard nonconforming approximation of the stokes problem

2005 Institute for Scientific Computing and Information. This paper analyzes a nonstandard form of the Stokes problem where the mass conservation equation is expressed in the form of a Poisson equation for the pressure. This problem is shown to be wellposed in the d- dimensional torus. A nonconforming approximation is proposed and, contrary to what happens when using the standard saddle-point formulation, the pro- posed setting is shown to yield optimal convergence for every pairs of approxi- mation spaces.

Nonstandard nonconforming approximation of the stokes problem, I: Periodic boundary conditions Academic Article