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Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms

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Multiscale and Adaptivity: Modeling, Numerics and Applications

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 2040))

Abstract

Mathematical models of complex physical problems can be based on heterogeneous differential equations, i.e. on boundary-value problems of different kind in different subregions of the computational domain. In this presentation we will introduce a few representative examples, we will illustrate the way the coupling conditions between the different models can be devised, then we will address several solution algorithms and discuss their properties of convergence as well as their robustness with respect to the variation of the physical parameters that characterize the submodels.

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Authors and Affiliations

  1. Laboratori de Càlcul Numèric (LaCàN), Universitat Politècnica de Catalunya (UPC BarcelonaTech), Campus Nord UPC - C2, E-08034, Barcelona, Spain

    Marco Discacciati

  2. Department of Mathematics, University of Brescia, Brescia, Italy

    Paola Gervasio

  3. MOX, Department of Mathematics, Politecnico di Milano, Milano, Italy

    Alfio Quarteroni

  4. CMCS-EPFL, CH-1015, Lausanne, Switzerland

    Alfio Quarteroni

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  1. Marco Discacciati
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  2. Paola Gervasio
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  3. Alfio Quarteroni
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Correspondence to Marco Discacciati .

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Discacciati, M., Gervasio, P., Quarteroni, A. (2011). Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms. In: Multiscale and Adaptivity: Modeling, Numerics and Applications. Lecture Notes in Mathematics(), vol 2040. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24079-9_2

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