Preconditioning the Pseudo-Laplacian for finite element simulation of incompressible flow

Description

In this paper, we investigate the question of the spectrally equivalence of the so-
called Pseudo-Laplacian to the usual discrete Laplacian in order to use hierarchical
preconditioners for this more complicate matrix. The spectral equivalence is shown to
be equivalent to a Brezzi-type inequality, which is fulfilled for the finite element spaces
considered here.

Links & Downloads

1. urn:nbn:de:bsz:ch1-199800574
2. https://monarch.qucosa.de/id/qucosa%3A17429
3. https://monarch.qucosa.de/api/qucosa%3A17429/attachment/ATT-0/
4. https://monarch.qucosa.de/api/qucosa%3A17429/attachment/ATT-1/
5. https://monarch.qucosa.de/api/qucosa%3A17429/attachment/ATT-2/

Tags

info:eu-repo/classification/ddc/510

ddc:510

Finite numerical methods

PDE

BVP

pseudo-laplacian

MSC 65N30

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:17429
Date	30 October 1998
Creators	Meyer, A.
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