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

C. Bacuta; J. H. Bramble; J. E. Pasciak

doi:10.1515/JNMA.2001.179

Article

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

C. Bacuta , J. H. Bramble and J. E. Pasciak

Published/Copyright: November 15, 2010

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From the journal Volume 9 Issue 3

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.

Keywords:: interpolation spaces; finite element method; extension operator

Received: 2001-06-06

Published Online: 2010-11-15

Published in Print: 2001-September

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Articles in the same Issue

https://doi.org/10.1515/JNMA.2001.179

Keywords for this article

interpolation spaces; finite element method; extension operator