Interpolation of non-smooth functions on anisotropic finite element meshes

Thomas Apel

doi:10.1051/m2an:1999139

Abstract

In this paper, several modifications of the quasi-interpolationoperator of Scott andZhang [30]are discussed. The modified operators are defined for non-smooth functionsand are suited for application on anisotropic meshes. Theanisotropy of the elements is reflected in the local stability andapproximation error estimates.As an application, an example is considered where anisotropic finiteelement meshes are appropriate, namely the Poisson problem in domainswith edges.

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Interpolation of non-smooth functions on anisotropic finite element meshes

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