Geodesic
Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 350-384
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},
     year = {2007},
     volume = {26},
     zbl = {1170.76024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a5/}
}
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AU  - Galvis,  Juan
AU  - Sarkis,  Marcus
TI  - Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
JO  - Electronic transactions on numerical analysis
PY  - 2007
SP  - 350
EP  - 384
VL  - 26
UR  - http://geodesic.mathdoc.fr/item/ETNA_2007__26__a5/
LA  - en
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%0 Journal Article
%A Galvis,  Juan
%A Sarkis,  Marcus
%T Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
%J Electronic transactions on numerical analysis
%D 2007
%P 350-384
%V 26
%U http://geodesic.mathdoc.fr/item/ETNA_2007__26__a5/
%G en
%F ETNA_2007__26__a5
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/