A Petrov-Galerkin finite element formulation for systems of conservation laws with special reference to the compressible Euler equations.

T. J.R. Hughes, Tayfun E. Tezduyar, A. N. Brooks

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Presents a general Petrov-Galerkin formulations for streamline type which accommodates systems of conservation laws. Proposes a weighted residual formulation and discusses formulation of several boundary conditions e.g. the scalar linear advection/diffusion equation and the compressible Euler equations. Examines selection of optimization parameters and discusses a family of new methods (Donea's Taylor- Galerkin schemes). Sample numerical calculations are presented and briefly discussed. (C.J.U.)

Original languageEnglish
Title of host publicationUnknown Host Publication Title
PublisherAcademic Press Inc. (London) Ltd
ISBN (Print)0125083602, 9780125083607
Publication statusPublished - 1982 Jan 1
Externally publishedYes

Fingerprint

Euler equations
Advection
Conservation
Boundary conditions

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Hughes, T. J. R., Tezduyar, T. E., & Brooks, A. N. (1982). A Petrov-Galerkin finite element formulation for systems of conservation laws with special reference to the compressible Euler equations. In Unknown Host Publication Title Academic Press Inc. (London) Ltd.

A Petrov-Galerkin finite element formulation for systems of conservation laws with special reference to the compressible Euler equations. / Hughes, T. J.R.; Tezduyar, Tayfun E.; Brooks, A. N.

Unknown Host Publication Title. Academic Press Inc. (London) Ltd, 1982.

Research output: Chapter in Book/Report/Conference proceedingChapter

Hughes, T. J.R. ; Tezduyar, Tayfun E. ; Brooks, A. N. / A Petrov-Galerkin finite element formulation for systems of conservation laws with special reference to the compressible Euler equations. Unknown Host Publication Title. Academic Press Inc. (London) Ltd, 1982.
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