A HYBRID METHOD FOR ANISOTROPIC ELLIPTIC PROBLEMS BASED ON THE COUPLING OF AN ASYMPTOTIC-PRESERVING METHOD WITH THE ASYMPTOTIC LIMIT MODEL - Université Toulouse 3 Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Scientific Computing Année : 2016

A HYBRID METHOD FOR ANISOTROPIC ELLIPTIC PROBLEMS BASED ON THE COUPLING OF AN ASYMPTOTIC-PRESERVING METHOD WITH THE ASYMPTOTIC LIMIT MODEL

Résumé

This paper presents a hybrid numerical method to solve efficiently a class of highly anisotropic elliptic problems. The anisotropy is aligned with one coordinate axis and its strength is described by a parameter ε ∈ (0, 1], which can largely vary in the study domain. Our hybrid model is based on asymptotic techniques and couples (spatially) an asymptotic-preserving model with its asymptotic limit model, the latter being used in regions where the anisotropy parameter ε is small. Adequate coupling conditions link the two models. The aim of this hybrid procedure is to reduce the computational time for problems where the region of small ε-values extends over a significant part of the domain, and this is due to the reduced complexity of the limit model.
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Dates et versions

hal-01405302 , version 1 (29-11-2016)

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Citer

Anaïs Crestetto, Fabrice Deluzet, Claudia Negulescu. A HYBRID METHOD FOR ANISOTROPIC ELLIPTIC PROBLEMS BASED ON THE COUPLING OF AN ASYMPTOTIC-PRESERVING METHOD WITH THE ASYMPTOTIC LIMIT MODEL. SIAM Journal on Scientific Computing, 2016, 38 (3), pp.A1821-A1847. ⟨10.1137/15M1011470⟩. ⟨hal-01405302⟩
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