Anisotropic Recovery-Based a Posteriori Error Estimators for Advection-Diffusion-Reaction Problems

S. Micheletti () and S. Perotto ()
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S. Micheletti: Politecnico di Milano, MOX – Dipartimento di Matematica “F. Brioschi”
S. Perotto: Politecnico di Milano, MOX – Dipartimento di Matematica “F. Brioschi”

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 43-51 from Springer

Abstract: Abstract We combine the good properties of recovery-based error estimators with the richness of information typical of an anisotropic a posteriori analysis. This merging yields error estimators which are general purpose yet simple and easy to implement, and automatically incorporate detailed geometric information about the computational mesh. This allows us to devise an effective anisotropic mesh adaptation procedure suited to control the discretization error both in the energy norm and in a goal-oriented framework. The advection-diffusion-reaction problem is considered as a computational paradigm.

Keywords: Recovery-based Error Estimator; Anisotropic Mesh Adaptation; Goal-oriented Framework; Posteriori Analysis; Strong Directional Features (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_5

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DOI: 10.1007/978-3-642-33134-3_5

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