Model adaptation enriched with an anisotropic mesh spacing for advection-diffusion-reaction systems

Code:
20/2008
Title:
Model adaptation enriched with an anisotropic mesh spacing for advection-diffusion-reaction systems
Date:
Wednesday 24th September 2008
Author(s):
David, Filippo; Micheletti, Stefano; Perotto, Simona
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Abstract:
We propose a procedure aiming at reducing the computational cost involved in the numerical approximation of (possibly nonlinear) advectiondiffusion- reaction systems. The idea is to suitably combine a model with a mesh adaptive procedure. In particular we first derive, separately, a model error estimator and an anisotropic estimator for the discretization error, suited for driving a model and a mesh adaptivity algorithm, respectively. These two strategies are then properly combined, allowing for a merged model-mesh control. The whole procedure is finally assessed on some numerical test cases, essentially inspired by ecological and environmental application