Geodesic
Anisotropic mesh adaption: application to computational fluid dynamics
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 1, pp. 145-165

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this communication we focus on goal-oriented anisotropic adaption techniques. Starting point has been the derivation of suitable anisotropic interpolation error estimates for piecewise linear finite elements, on triangular grids in $2D$. Then we have merged these interpolation estimates with the dual-based a posteriori error analysis proposed by R. Rannacher and R. Becker. As examples of this general anisotropic a posteriori analysis, elliptic, advection-diffusion-reaction and the Stokes problems are analyzed. Finally, numerical test cases are provided to assess the soundness of the proposed approach. 
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     author = {Perotto, Simona},
     title = {Anisotropic mesh adaption: application to computational fluid dynamics},
     journal = {Bollettino della Unione matematica italiana},
     pages = {145--165},
     publisher = {mathdoc},
     volume = {Ser. 8, 8B},
     number = {1},
     year = {2005},
     zbl = {1150.65028},
     mrnumber = {MR2122980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a7/}
}
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Perotto, Simona. Anisotropic mesh adaption: application to computational fluid dynamics. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 1, pp. 145-165. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a7/