Local projection stabilization for the Stokes equation with Neumann condition.

Braack, Malte (2018) Local projection stabilization for the Stokes equation with Neumann condition. Computer Methods in Applied Mechanics and Engineering, 334 . pp. 507-522. DOI 10.1016/j.cma.2018.02.008.

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Abstract

The local projection stabilization (LPS) method is already an established method for stabilizing saddle-point problems and convection–diffusion problems. The a priori error analysis is usually done for homogeneous Dirichlet data. It turns out that without Dirichlet conditions the situation is more involved, because additional boundary terms appear in the analysis. The standard approach can be modified by using additional stabilization terms on the non-Dirichlet boundary parts. We show that such terms lead to a similar a priori estimate as the classical LPS method but in a stronger norm.

Document Type: Article
Keywords: Stokes system, Outflow condition, Finite elements, Stabilized finite elements, Inf–sup condition
Research affiliation: Kiel University
Kiel University > Kiel Marine Science
OceanRep > The Future Ocean - Cluster of Excellence
Refereed: Yes
Open Access Journal?: No
DOI etc.: 10.1016/j.cma.2018.02.008
ISSN: 0045-7825
Projects: Future Ocean
Date Deposited: 31 Jul 2018 10:53
Last Modified: 23 Sep 2019 22:24
URI: http://oceanrep.geomar.de/id/eprint/43858

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