On stability of the Pnmod/Pn element for incompressible flow problems

• ID: 2335, RIV: 10031553
• ISSN: 0862-7940, ISBN: not specified
• source: Applications of Mathematics
• keywords: stability; Pnmod/Pn; element; incompressible; problems
• authors: Petr Knobloch
• authors from KNM: Knobloch Petr

Abstract

We consider a recently introduced class of triangular nonconforming finite elements of n-th order accuracy in the energy norm called Pnmod elements. For n.le.3, we show that the inf-sup condition holds if the velocity space is constructed using the Pnmod element and the pressure space consits of continuous piecewise polynomial functions of degree n.