Anisotropic mesh adaption: Application to computational fluid dynamics.

被引：0
|
作者：
Perotto, S [1 ]
机构：
[1] Politecn Milan, Dept Math F Brioschi, MOX, I-20133 Milan, Italy
来源：
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2005年 / 8B卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：145 / 165
页数：21
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