Ventcell conditions with mixed formulations for flow in porous media

Thi Thao Phuong Hoang; Caroline Japhet; Michel Kern; Jean E. Roberts

Ventcell conditions with mixed formulations for flow in porous media

Thi Thao Phuong Hoang ^{1, 2} Caroline Japhet ^{2, 3} Michel Kern ^{2, 4} Jean E. Roberts ²

1 Ho Chi Minh City University of Pedagogy

2 POMDAPI - Environmental Modeling, Optimization and Programming Models

Inria Paris-Rocquencourt

3 LAGA - Laboratoire Analyse, Géométrie et Applications

4 MDLS - Maison de la Simulation

Abstract : In this work, we study the Optimized Schwarz method with Ventcell conditions in the context of mixed formulations, which is not as straightforward as in the case of primal formulations and we have to introduce Lagrange multipliers on the interfaces to handle tangential derivatives involved in those conditions. Two dimensional numerical results for heterogeneous problems will be presented to compare the performance of the Ventcell transmission conditions with that of the Robin transmission conditions.

Keywords : mixed formulations domain decomposition Ventcell boundary conditions porous media flow

Type de document :

Communication dans un congrès

22th International conference on domain decomposition methods, Sep 2013, Lugano, Switzerland. 〈http://dd22.ics.usi.ch/〉

Domaine :

Mathématiques [math] / Analyse numérique [math.NA]

Liste complète des métadonnées

https://hal.inria.fr/hal-01113964
Contributeur : Caroline Japhet <>
Soumis le : vendredi 6 février 2015 - 16:31:49
Dernière modification le : vendredi 25 mai 2018 - 12:02:06
Document(s) archivé(s) le : jeudi 7 mai 2015 - 10:41:17

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