论文信息 - New interpolation results and applications to finite element methods for elliptic boundary value problems

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

Abstract We consider the the interpolation problem between and , where Ω is a polygonal domain in and is the subspace of functions in H 1(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.

Joseph E. Pasciak | Constantin Bacuta | James H. Bramble

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