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A reformulation of the Lesaint–Raviart discontinuous Galerkin method for advection equations
Author(s) -
Fortin M.,
Fortin A.,
Benmoussa K.,
Tibirna C.
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1228
Subject(s) - discontinuous galerkin method , advection , inflow , galerkin method , finite element method , mathematics , boundary value problem , mathematical analysis , engineering , mechanics , structural engineering , physics , thermodynamics
The Lesaint–Raviart method was introduced in 1974 for the numerical solution of the neutron transport equation. It is probably the first discontinuous Galerkin (DG) method ever introduced. In this paper, we propose an equivalent formulation of this DG‐type method for advection problems that can be easily implemented into existing finite element codes. The proposed formulation also presents some advantages in domains where there is no inflow boundary such as those encountered in the tire industry. Copyright © 2009 John Wiley & Sons, Ltd.