Accessible Requires Authentication Published by De Gruyter November 15, 2010

New interpolation results and applications to finite element methods for elliptic boundary value problems

C. Bacuta, J. H. Bramble and J. E. Pasciak
From the journal

Abstract

We consider the the interpolation problem between and , where Ω is a polygonal domain in and is the subspace of functions in H1(Ω) which vanish on the Dirichlet part (Ω)D of the boundary of Ω. The main result is that the interpolation spaces and coincide. An application of this result to a nonconforming finite element problem is presented.

Received: 2001-06-06
Published Online: 2010-11-15
Published in Print: 2001-September

© VSP 2001