TY - JOUR
T1 - On the generalized L2 Galerkin finite element method for linear hyperbolic equations
AU - Bar‐Yoseph, Pinhas
AU - Elata, David
AU - Israeli, Moshe
PY - 1993/2/28
Y1 - 1993/2/28
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0027544428&partnerID=8YFLogxK
U2 - 10.1002/nme.1620360408
DO - 10.1002/nme.1620360408
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AN - SCOPUS:0027544428
SN - 0029-5981
VL - 36
SP - 679
EP - 694
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
IS - 4
ER -