Geodesic
Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 350-384.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider the coupling across an interface of fluid and porous media flows with Beavers-Joseph- Saffman transmission conditions. Under an adequate choice of Lagrange multipliers on the interface we analyze inf-sup conditions and optimal a priori error estimates associated with the continuous and discrete formulations of this Stokes-Darcy system. We allow the meshes of the two regions to be non-matching across the interface. Using mortar finite element analysis and appropriate scaled norms we show that the constants that appear on the a priori error bounds do not depend on the viscosity, permeability and ratio of mesh parameters. Numerical experiments are presented.
Classification : 65N30, 65N15, 65N12, 35Q30, 35Q35, 76D033, 76D07
Keywords: inf-sup condition, error estimates, mortar finite elements, multiphysics, porous media flow, incompressible fluid flow, Lagrange multipliers, saddle point problems, non-matching grids, discontinuous coefficients 
@article{ETNA_2007__26__a5,
     author = {Galvis, Juan and Sarkis, Marcus},
     title = {Non-matching mortar discretization analysis for the coupling {Stokes-Darcy} equations},
     journal = {Electronic transactions on numerical analysis},
     pages = {350--384},
     publisher = {mathdoc},
     volume = {26},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a5/}
}
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Galvis, Juan; Sarkis, Marcus. Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations. Electronic transactions on numerical analysis, Tome 26 (2007), pp. 350-384. http://geodesic.mathdoc.fr/item/ETNA_2007__26__a5/