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Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems
Authors:Stefano Micheletti  Simona Perotto &  Filippo David
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:Model adaptation  anisotropic mesh adaptation  goal-oriented analysis  advection-diffusion-reaction systems  Navier-Stokes equations  finite elements  
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