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An efficient L 2 Galerkin finite element method for multi‐dimensional non‐linear hyperbolic systems
Author(s) -
BarYoseph Pinhas,
Elata David
Publication year - 1990
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.1620290609
Subject(s) - galerkin method , discontinuous galerkin method , finite element method , collocation (remote sensing) , mathematics , mathematical analysis , element (criminal law) , mixed finite element method , computer science , physics , machine learning , political science , law , thermodynamics
An L 2 Galerkin approximation is obtained by the use of specially chosen spaces of trial and test functions. The method combines the features of the orthogonal collocation and Galerkin finite element methods. This new algorithm can be more efficient by orders of magnitude than conventional discontinuous Galerkin finite element procedures in solving non‐linear problems which require frequent reformulation of the coefficient matrices and right‐hand‐side vectors.