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

abstract

• 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.

authors

• Guermond, Jean-Luc

published proceedings

• International Journal of Numerical Analysis and Modeling

author list (cited authors)

• Guermond, J. L.

complete list of authors

• Guermond, JL

publication date

• January 2005

published in

• INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING  Journal

start page

• 345

end page

• 354

volume

• 2

issue

• 3