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Local inequalities for anisotropic finite elements and their application to convection-diffusion problems

The paper gives an overview over local inequalities for anisotropic simplicial Lagrangian finite elements. The main original contributions are the estimates for higher derivatives of the interpolation error, the formulation of the assumptions on admissible anisotropic finite elements in terms of geometrical conditions in the three-dimensional case, and an anisotropic variant of the inverse inequality. An application of anisotropic meshes in the context of a stabilized Galerkin method for a convection-diffusion problem is given.
Date30 October 1998
CreatorsApel, Thomas, Lube, Gert
PublisherTechnische Universit├Ąt Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
Detected LanguageEnglish
Typedoc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text

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