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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 3/2015

06.02.2015

Equal Order Discontinuous Finite Volume Element Methods for the Stokes Problem

verfasst von: Sarvesh Kumar, Ricardo Ruiz-Baier

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2015

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Abstract

The aim of this paper is to develop and analyze a family of stabilized discontinuous finite volume element methods for the Stokes equations in two and three spatial dimensions. The proposed scheme is constructed using a baseline finite element approximation of velocity and pressure by discontinuous piecewise linear elements, where an interior penalty stabilization is applied. A priori error estimates are derived for the velocity and pressure in the energy norm, and convergence rates are predicted for velocity in the \(L^2\)-norm under the assumption that the source term is locally in \( H^1\). Several numerical experiments in two and three spatial dimensions are presented to validate our theoretical findings.
Vorheriger Artikel Error Estimates of a Pressure-Stabilized Characteristics Finite Element Scheme for the Oseen Equations
Nächster Artikel Second Order Accurate IMEX Methods for Option Pricing Under Merton and Kou Jump-Diffusion Models

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Metadaten
Titel
Equal Order Discontinuous Finite Volume Element Methods for the Stokes Problem
verfasst von
Sarvesh Kumar
Ricardo Ruiz-Baier
Publikationsdatum
06.02.2015
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 3/2015
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-015-9993-7

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