A space-time discontinuous Galerkin method for the time-dependent Oseen equations

Jacobus J.W. van der Vegt; J.J.S. Janivita Joto Sudirham

doi:10.1016/j.apnum.2007.11.010

A space-time discontinuous Galerkin method for the time-dependent Oseen equations

Jacobus J.W. van der Vegt, J.J.S. Janivita Joto Sudirham

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

A space–time discontinuous Galerkin finite element method for the Oseen equations on time-dependent flow domains is presented. The algorithm results in a higher order accurate conservative discretization on moving and deforming meshes and is well suited for hp-adaptation. A detailed analysis of the stability of the numerical discretization is given which shows that the algorithm is unconditionally stable, also when equal order polynomial basis functions for the pressure and velocity are used. The accuracy of the space–time discretization is investigated using a detailed hp-error analysis and computations on a model problem.

Original language	Undefined
Article number	10.1016/j.apnum.2007.11.010
Pages (from-to)	1892-1917
Number of pages	26
Journal	Applied numerical mathematics
Volume	58
Issue number	WP 08-02/12
DOIs	https://doi.org/10.1016/j.apnum.2007.11.010
Publication status	Published - Dec 2008

Keywords

Stability
Space–time discontinuous Galerkin method
Oseen equations
ALE methods
EWI-14902
METIS-255131
IR-62697
hp-error analysis

Access to Document

10.1016/j.apnum.2007.11.010

http://eprints.eemcs.utwente.nl/secure2/14902/01/APPNUM_58_pp1892-1917_2008.pdf

Cite this

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title = "A space-time discontinuous Galerkin method for the time-dependent Oseen equations",

abstract = "A space–time discontinuous Galerkin finite element method for the Oseen equations on time-dependent flow domains is presented. The algorithm results in a higher order accurate conservative discretization on moving and deforming meshes and is well suited for hp-adaptation. A detailed analysis of the stability of the numerical discretization is given which shows that the algorithm is unconditionally stable, also when equal order polynomial basis functions for the pressure and velocity are used. The accuracy of the space–time discretization is investigated using a detailed hp-error analysis and computations on a model problem.",

keywords = "Stability, Space–time discontinuous Galerkin method, Oseen equations, ALE methods, EWI-14902, METIS-255131, IR-62697, hp-error analysis",

author = "{van der Vegt}, {Jacobus J.W.} and {Janivita Joto Sudirham}, J.J.S.",

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AU - van der Vegt, Jacobus J.W.

AU - Janivita Joto Sudirham, J.J.S.

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PY - 2008/12

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N2 - A space–time discontinuous Galerkin finite element method for the Oseen equations on time-dependent flow domains is presented. The algorithm results in a higher order accurate conservative discretization on moving and deforming meshes and is well suited for hp-adaptation. A detailed analysis of the stability of the numerical discretization is given which shows that the algorithm is unconditionally stable, also when equal order polynomial basis functions for the pressure and velocity are used. The accuracy of the space–time discretization is investigated using a detailed hp-error analysis and computations on a model problem.

AB - A space–time discontinuous Galerkin finite element method for the Oseen equations on time-dependent flow domains is presented. The algorithm results in a higher order accurate conservative discretization on moving and deforming meshes and is well suited for hp-adaptation. A detailed analysis of the stability of the numerical discretization is given which shows that the algorithm is unconditionally stable, also when equal order polynomial basis functions for the pressure and velocity are used. The accuracy of the space–time discretization is investigated using a detailed hp-error analysis and computations on a model problem.

KW - Stability

KW - Space–time discontinuous Galerkin method

KW - Oseen equations

KW - ALE methods

KW - EWI-14902

KW - METIS-255131

KW - IR-62697

KW - hp-error analysis

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DO - 10.1016/j.apnum.2007.11.010

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EP - 1917

JO - Applied numerical mathematics

JF - Applied numerical mathematics

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