Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709104 | Applied Mathematics Letters | 2011 | 4 Pages |
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 [M.A. Fernández, J.-F. Gerbeau, V. Martin, Numerical simulation of blood flows through a porous interface, Math. Model. Num. Anal. (M2AN) 42 (6) (2008) 961–990], 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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Alfonso Caiazzo, Miguel A. Fernández, Vincent Martin,