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

Publication at Faculty of Mathematics and Physics |
2006

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.