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Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems

Published online by Cambridge University Press:  28 May 2015

Stefano Micheletti ,
Simona Perotto  and
Filippo David
Stefano Micheletti*
Affiliation:
MOX-Modeling and Scientific Computing, Department of Mathematics “F. Brioschi”, Politecnico of Milano, Via Bonardi 9, I-20133 Milano, Italy
Simona Perotto*
Affiliation:
MOX-Modeling and Scientific Computing, Department of Mathematics “F. Brioschi”, Politecnico of Milano, Via Bonardi 9, I-20133 Milano, Italy
Filippo David*
Affiliation:
STMicroelectronics, Via Tolomeo 1, I-20100 Cornaredo (MI), Italy
*
Corresponding author.Email address:Stefano.micheletti@polimi.it
Corresponding author.Email address:simona.perotto@polimi.it
Corresponding author.Email address:filippo.david@st.com
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Abstract

Goal of this paper is to suitably combine a model with an anisotropic mesh adaptation for the numerical simulation of nonlinear advection-diffusion-reaction systems and incompressible flows in ecological and environmental applications. Using the reduced-basis method terminology, the proposed approach leads to a noticeable computational saving of the online phase with respect to the resolution of the reference model on nonadapted grids. The search of a suitable adapted model/mesh pair is to be meant, instead, in an offline fashion.

Keywords

65N1565N5065J1535J60Model adaptationanisotropic mesh adaptationgoal-oriented analysisadvection-diffusion-reaction systemsNavier-Stokes equationsfinite elements
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 6 , Issue 3 , August 2013 , pp. 447 - 478
Copyright
Copyright © Global Science Press Limited 2013

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