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Edge‐based finite element method for shallow water equations
Author(s) -
Ribeiro F. L. B.,
Galeão A. C.,
Landau L.
Publication year - 2001
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.151
Subject(s) - generalized minimal residual method , discretization , discontinuity (linguistics) , solver , shallow water equations , finite element method , mathematics , enhanced data rates for gsm evolution , discontinuous galerkin method , classification of discontinuities , mathematical optimization , computer science , linear system , mathematical analysis , engineering , structural engineering , telecommunications
This paper describes an edge‐based implementation of the generalized residual minimum (GMRES) solver for the fully coupled solution of non‐linear systems arising from finite element discretization of shallow water equations (SWEs). The gain in terms of memory, floating point operations and indirect addressing is quantified for semi‐discrete and space–time analyses. Stabilized formulations, including Petrov–Galerkin models and discontinuity‐capturing operators, are also discussed for both types of discretization. Results illustrating the quality of the stabilized solutions and the advantages of using the edge‐based approach are presented at the end of the paper. Copyright © 2001 John Wiley & Sons, Ltd.