TY - JOUR T1 - Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 447 EP - 478 PY - 2013 DA - 2013/06 SN - 6 DO - http://doi.org/10.4208/nmtma.2013.1022nm UR - https://global-sci.org/intro/article_detail/nmtma/5913.html KW - Model adaptation, anisotropic mesh adaptation, goal-oriented analysis, advection-diffusion-reaction systems, Navier-Stokes equations, finite elements. AB -

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.