%0 Electronic Serial Component Part %A Apel, Thomas and Lube, Gert %E Lube, Gert %I Technische Universität Chemnitz %C Chemnitz %D 1998 %G English %~ Katalog HGB Leipzig %T Local inequalities for anisotropic finite elements and their application to convection-diffusion problems %U https://nbn-resolving.org/urn:nbn:de:bsz:ch1-199800625 %X 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. %Z https://katalog.hgb-leipzig.de/Record/22-ch1-199800625 %U https://katalog.hgb-leipzig.de/Record/22-ch1-199800625