Interpolation of non-smooth functions on anisotropic finite element meshes

Description

In this paper, several modifications of the quasi-interpolation operator
of Scott and Zhang (Math. Comp. 54(1990)190, 483--493) are discussed.
The modified operators are defined for non-smooth functions and are suited
for the application on anisotropic meshes. The anisotropy of the elements
is reflected in the local stability and approximation error estimates.
As an application, an example is considered where anisotropic finite element
meshes are appropriate, namely the Poisson problem in domains with edges.

Links & Downloads

1. urn:nbn:de:bsz:ch1-199801341
2. https://monarch.qucosa.de/id/qucosa%3A17510
3. https://monarch.qucosa.de/api/qucosa%3A17510/attachment/ATT-0/
4. https://monarch.qucosa.de/api/qucosa%3A17510/attachment/ATT-1/
5. https://monarch.qucosa.de/api/qucosa%3A17510/attachment/ATT-2/

Tags

info:eu-repo/classification/ddc/510

ddc:510

anisotropic weighted Sobolev spaces

local interpolation error,estimates.

MSC 35A40

MSC 35J05

MSC 65N30

MSC 35B65

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:17510
Date	30 October 1998
Creators	Apel, Th.
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