Anisotropic mesh adaption: application to computational fluid dynamics

Simona Perotto

Bollettino dell'Unione Matematica Italiana (2005)

  • Volume: 8-B, Issue: 1, page 145-165
  • ISSN: 0392-4041

Abstract

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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 2 ⁢ D . 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.

How to cite

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Perotto, Simona. "Anisotropic mesh adaption: application to computational fluid dynamics." Bollettino dell'Unione Matematica Italiana 8-B.1 (2005): 145-165. <http://eudml.org/doc/195733>.

@article{Perotto2005,
abstract = {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.},
author = {Perotto, Simona},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {145-165},
publisher = {Unione Matematica Italiana},
title = {Anisotropic mesh adaption: application to computational fluid dynamics},
url = {http://eudml.org/doc/195733},
volume = {8-B},
year = {2005},
}

TY - JOUR
AU - Perotto, Simona
TI - Anisotropic mesh adaption: application to computational fluid dynamics
JO - Bollettino dell'Unione Matematica Italiana
DA - 2005/2//
PB - Unione Matematica Italiana
VL - 8-B
IS - 1
SP - 145
EP - 165
AB - 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.
LA - eng
UR - http://eudml.org/doc/195733
ER -

References

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