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Hierarchical Model Reduction: Three Different Approaches

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • S. Perotto

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

  • A. Zilio

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

Abstract

We present three different approaches to model, in a computationally cheap way, problems characterized by strong horizontal dynamics, even though in the presence of transverse heterogeneities. The three approaches are based on the hierarchical model reduction setting introduced in Ern et al. (Hierarchical model reduction for advection-diffusion-reaction problems. In: Kunisch K, Of G, Steinbach O (eds) Numerical mathematics and advanced applications. Springer (2008), pp 703–710) and Perotto et al. (Multiscale Model Simul 8(4):1102–1127, 2010).

Suggested Citation

  • S. Perotto & A. Zilio, 2013. "Hierarchical Model Reduction: Three Different Approaches," 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 851-859, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_88
    DOI: 10.1007/978-3-642-33134-3_88
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