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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:
 08981221(200006)39:12<101:NCOOAG>2.0.ZU;27
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 BOUNDARYVALUE PROBLEMS; SWEEPLINE ALGORITHM; REDISTRIBUTION; SELECTION; MESHES;
 Keywords:
 numerical grid generation; adaptive grid generation; convectiondiffusion problem; leastsquare 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. 101120
Abstract
This article concerns a new procedure to generate a solutionadaptive gridfor convection dominated problems in two spatial dimensions based on finite element approximations. The procedure extends a onedimensional 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 onedimensional equidistribution principle is applied to the chosendirections. The final grids generated are connected through a sweepline based unstructured grid technique. Model problems considered are the twodimensional convectiondiffusion 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