Discontinuous Galerkin finite element methods for hyperbolic differential equations

Jacobus J.W. van der Vegt; H. van der Ven; O.J. Boelens; O.J. Boelens

Discontinuous Galerkin finite element methods for hyperbolic differential equations

Jacobus J.W. van der Vegt, H. van der Ven, O.J. Boelens, O.J. Boelens

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

Abstract

In this paper a suryey is given of the important steps in the development of discontinuous Galerkin finite element methods for hyperbolic partial differential equations. Special attention is paid to the application of the discontinuous Galerkin method to the solution of the Euler equations of gas dynamics in time-dependent flows domains and to techniques which reduce the computational complexity of the DG method.

Original language	Undefined
Title of host publication	Godunov Methods, Theory and Applications
Editors	E.F. Toro
Place of Publication	Dordrecht
Publisher	Kluwer Academic/Plenum Publishers
Pages	985-1006
Number of pages	22
ISBN (Print)	978-0-306-46601-4
Publication status	Published - 2002

Publication series

Name
Publisher	Kluwer Academic

Keywords

METIS-200381
EWI-16279
IR-76143

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Cite this

van der Vegt, J. J. W., van der Ven, H., Boelens, O. J., & Boelens, O. J. (2002). Discontinuous Galerkin finite element methods for hyperbolic differential equations. In E. F. Toro (Ed.), Godunov Methods, Theory and Applications (pp. 985-1006). Dordrecht: Kluwer Academic/Plenum Publishers.

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abstract = "In this paper a suryey is given of the important steps in the development of discontinuous Galerkin finite element methods for hyperbolic partial differential equations. Special attention is paid to the application of the discontinuous Galerkin method to the solution of the Euler equations of gas dynamics in time-dependent flows domains and to techniques which reduce the computational complexity of the DG method.",

keywords = "METIS-200381, EWI-16279, IR-76143",

author = "{van der Vegt}, {Jacobus J.W.} and {van der Ven}, H. and O.J. Boelens and O.J. Boelens",

note = "Proceedings of an International conference on Godunov Methods: Theory and Applications, held October 18-22, 1999, in Oxford, UK, to honor Professor S.K. Godunov in the year of his 70th birthday and to review more than 40 years of research on Godunov methods. This work was partially funded by the Netherlands Agency for Aerospace Programmes (NIVR) under contract 2601N.",

year = "2002",

language = "Undefined",

isbn = "978-0-306-46601-4",

publisher = "Kluwer Academic/Plenum Publishers",

pages = "985--1006",

editor = "E.F. Toro",

booktitle = "Godunov Methods, Theory and Applications",

}

Discontinuous Galerkin finite element methods for hyperbolic differential equations. / van der Vegt, Jacobus J.W.; van der Ven, H.; Boelens, O.J.; Boelens, O.J.

Godunov Methods, Theory and Applications. ed. / E.F. Toro. Dordrecht : Kluwer Academic/Plenum Publishers, 2002. p. 985-1006.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

TY - CHAP

T1 - Discontinuous Galerkin finite element methods for hyperbolic differential equations

AU - van der Vegt, Jacobus J.W.

AU - van der Ven, H.

AU - Boelens, O.J.

N1 - Proceedings of an International conference on Godunov Methods: Theory and Applications, held October 18-22, 1999, in Oxford, UK, to honor Professor S.K. Godunov in the year of his 70th birthday and to review more than 40 years of research on Godunov methods. This work was partially funded by the Netherlands Agency for Aerospace Programmes (NIVR) under contract 2601N.

PY - 2002

Y1 - 2002

N2 - In this paper a suryey is given of the important steps in the development of discontinuous Galerkin finite element methods for hyperbolic partial differential equations. Special attention is paid to the application of the discontinuous Galerkin method to the solution of the Euler equations of gas dynamics in time-dependent flows domains and to techniques which reduce the computational complexity of the DG method.

AB - In this paper a suryey is given of the important steps in the development of discontinuous Galerkin finite element methods for hyperbolic partial differential equations. Special attention is paid to the application of the discontinuous Galerkin method to the solution of the Euler equations of gas dynamics in time-dependent flows domains and to techniques which reduce the computational complexity of the DG method.

KW - METIS-200381

KW - EWI-16279

KW - IR-76143

M3 - Chapter

SN - 978-0-306-46601-4

SP - 985

EP - 1006

BT - Godunov Methods, Theory and Applications

A2 - Toro, E.F.

PB - Kluwer Academic/Plenum Publishers

CY - Dordrecht

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