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
3 LAGA - Laboratoire Analyse, Géométrie et Applications
4 MDLS - Maison de la Simulation

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.

Mots clés: porous media flow; Ventcell boundary conditions; domain decomposition; mixed formulations

Domaines: Analyse numérique [math.NA]

Thi Thao Phuong Hoang, Caroline Japhet, Michel Kern, Jean E. Roberts. Ventcell conditions with mixed formulations for flow in porous media. 22th International conference on domain decomposition methods, Sep 2013, Lugano, Switzerland. ⟨hal-01113964⟩