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

Description

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.

Links & Downloads

1. urn:nbn:de:bsz:ch1-199800625
2. https://monarch.qucosa.de/id/qucosa%3A17435
3. https://monarch.qucosa.de/api/qucosa%3A17435/attachment/ATT-0/
4. https://monarch.qucosa.de/api/qucosa%3A17435/attachment/ATT-1/
5. https://monarch.qucosa.de/api/qucosa%3A17435/attachment/ATT-2/

Tags

info:eu-repo/classification/ddc/510

ddc:510

MSC 65N30

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:17435
Date	30 October 1998
Creators	Apel, Thomas, Lube, Gert
Publisher	Technische Universität Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
Rights	info:eu-repo/semantics/openAccess