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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 3/2014

01.12.2014

A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem

verfasst von: André Massing, Mats G. Larson, Anders Logg, Marie E. Rognes

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2014

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Abstract

We present a novel finite element method for the Stokes problem on fictitious domains. We prove inf-sup stability, optimal order convergence and uniform boundedness of the condition number of the discrete system. The finite element formulation is based on a stabilized Nitsche method with ghost penalties for the velocity and pressure to obtain stability in the presence of small cut elements. We demonstrate for the first time the applicability of the Nitsche fictitious domain method to three-dimensional Stokes problems. We further discuss a general, flexible and freely available implementation of the method and present numerical examples supporting the theoretical results.
Vorheriger Artikel Fourier Spectral Methods for Degasperis–Procesi Equation with Discontinuous Solutions
Nächster Artikel Stability and Convergence of Modified Du Fort–Frankel Schemes for Solving Time-Fractional Subdiffusion Equations

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Metadaten
Titel
A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem
verfasst von
André Massing
Mats G. Larson
Anders Logg
Marie E. Rognes
Publikationsdatum
01.12.2014
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 3/2014
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-014-9838-9

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