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

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • S. Micheletti

    (Politecnico di Milano, MOX – Dipartimento di Matematica “F. Brioschi”)

  • S. Perotto

    (Politecnico di Milano, MOX – Dipartimento di Matematica “F. Brioschi”)

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.

Suggested Citation

  • S. Micheletti & S. Perotto, 2013. "Anisotropic Recovery-Based a Posteriori Error Estimators for Advection-Diffusion-Reaction Problems," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 43-51, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_5
    DOI: 10.1007/978-3-642-33134-3_5
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