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Titolo:
Numerical construction of optimal adaptive grids in two spatial dimensions
Autore:
Chen, TF; Yang, HD;
Indirizzi:
Natl Chung Cheng Univ, Dept Math, Chiayi, Taiwan Natl Chung Cheng Univ Chiayi Taiwan eng Univ, Dept Math, Chiayi, Taiwan Univ Texas, Dept Math, Arlington, TX 76019 USA Univ Texas Arlington TX USA 76019 xas, Dept Math, Arlington, TX 76019 USA
Titolo Testata:
COMPUTERS & MATHEMATICS WITH APPLICATIONS
fascicolo: 12, volume: 39, anno: 2000,
pagine: 101 - 120
SICI:
0898-1221(200006)39:12<101:NCOOAG>2.0.ZU;2-7
Fonte:
ISI
Lingua:
ENG
Soggetto:
BOUNDARY-VALUE PROBLEMS; SWEEPLINE ALGORITHM; REDISTRIBUTION; SELECTION; MESHES;
Keywords:
numerical grid generation; adaptive grid generation; convection-diffusion problem; least-square FEM; finite element method;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
15
Recensione:
Indirizzi per estratti:
Indirizzo: Chen, TF Natl Chung Cheng Univ, Dept Math, Chiayi, Taiwan Natl Chung ChengUniv Chiayi Taiwan Dept Math, Chiayi, Taiwan
Citazione:
T.F. Chen e H.D. Yang, "Numerical construction of optimal adaptive grids in two spatial dimensions", COMPUT MATH, 39(12), 2000, pp. 101-120

Abstract

This article concerns a new procedure to generate a solution-adaptive gridfor convection dominated problems in two spatial dimensions based on finite element approximations. The procedure extends a one-dimensional equidistribution principle which minimizes the interpolation error in appropriate norms. The idea in extending such a technique to two spatial dimensions is toselect two directions which can reflect the physics of the problems, and then the one-dimensional equidistribution principle is applied to the chosendirections. The final grids generated are connected through a sweep-line based unstructured grid technique. Model problems considered are the two-dimensional convection-diffusion problems where boundary and interior layers occur. Numerical results of model problems illustrating the efficiency of the proposed scheme are presented. Comparisons of the solutions with an existing scheme will also be provided. (C) 2000 Elsevier Science Ltd. All rightsreserved.

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Documento generato il 01/04/20 alle ore 02:13:26