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Numerical studies of optimal grid construction
Author(s) -
Chen T.F.,
Fix G. J.,
Yang H. D.
Publication year - 1996
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199603)12:2<191::aid-num3>3.0.co;2-l
Subject(s) - grid , finite element method , mathematics , mathematical optimization , galerkin method , discontinuous galerkin method , mesh generation , regular grid , geometry , structural engineering , engineering
This article is concerned with the construction of optimal grids for convection dominated problems. We consider the redistribution approach to generate the optimal grids. With an optimal grid, the number of unknowns can be dramatically reduced and this generally gives a computationally efficient model. Both Galerkin finite‐element and least‐squares finite‐element approximations are considered with mesh redistribution. Numerical results of models problems illustrating the efficiency of the minimum mesh size approach are presented. Discussions of the capabilities and limitations of the schemes are also provided. © 1996 John Wiley & Sons, Inc.