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New interpolation results and applications to finite element methods for elliptic boundary value problems
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C. Bacuta
Veröffentlicht/Copyright:
15. November 2010
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
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