Premium
On the generalized L 2 Galerkin finite element method for linear hyperbolic equations
Author(s) -
BarYoseph Pinhas,
Elata David,
Israeli Moshe
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620360408
Subject(s) - galerkin method , discontinuous galerkin method , mathematics , finite element method , mathematical analysis , dissipative system , scalar (mathematics) , hyperbolic partial differential equation , extended finite element method , partial differential equation , geometry , physics , quantum mechanics , thermodynamics
In this work, a Von Neumann analysis of the generalized L 2 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.