Analysis of a stabilized finite element method for fluid flows through a porous interface

Alfonso Caiazzo 1 Miguel Angel Fernández 1 Vincent Martin 2
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : This work is devoted to the numerical simulation of an incompressible fluid through a porous interface, modeled as a macroscopic resistive interface term in the Stokes equations. We improve the results reported in [M2AN, 42(6):961-990, 2008], by showing that the standard Pressure Stabilized Petrov-Galerkin (PSPG) finite element method is stable, and optimally convergent, without the need for controlling the pressure jump across the interface.
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Alfonso Caiazzo, Miguel Angel Fernández, Vincent Martin. Analysis of a stabilized finite element method for fluid flows through a porous interface. Applied Mathematics Letters, Elsevier, 2011, 24 (12), pp.2124-2127. ⟨10.1016/j.aml.2011.06.012⟩. ⟨inria-00543014⟩

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