On the generalized L2 Galerkin finite element method for linear hyperbolic equations

Pinhas Bar‐Yoseph; David Elata; Moshe Israeli

doi:10.1002/nme.1620360408

On the generalized L₂ Galerkin finite element method for linear hyperbolic equations

Pinhas Bar‐Yoseph
, David Elata
, Moshe Israeli

Technion-Israel Institute of Technology

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

7 Scopus citations

Abstract

In this work, a Von Neumann analysis of the generalized L₂ Galerkin method is described. The analysis is carried out on a linear scalar hyperbolic equation. The analysis shows both qualitatively and quantitatively the stability, dissipation and dispersion of the standard space‐time discontinuous Galerkin finite element method, and of the space‐time discontinuous streamline upwind Petrov Galerkin (SUPG) method. In addition a new special non‐dissipative non‐dispersive scheme is presented.

Original language	English
Pages (from-to)	679-694
Number of pages	16
Journal	International Journal for Numerical Methods in Engineering
Volume	36
Issue number	4
DOIs	https://doi.org/10.1002/nme.1620360408
State	Published - 28 Feb 1993
Externally published	Yes

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AB - In this work, a Von Neumann analysis of the generalized L2 Galerkin method is described. The analysis is carried out on a linear scalar hyperbolic equation. The analysis shows both qualitatively and quantitatively the stability, dissipation and dispersion of the standard space‐time discontinuous Galerkin finite element method, and of the space‐time discontinuous streamline upwind Petrov Galerkin (SUPG) method. In addition a new special non‐dissipative non‐dispersive scheme is presented.

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On the generalized L₂ Galerkin finite element method for linear hyperbolic equations

Abstract

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