On upscaling certain flows in deformable porous media. (English) Zbl 1156.74321

Iliev, Oleg; Mikelić, Andro; Popov, Peter

Multiscale Model. Simul. 7, No. 1, 93-123 (2008).

MSC:

74F10	Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
35B25	Singular perturbations in context of PDEs
74Q10	Homogenization and oscillations in dynamical problems of solid mechanics
74S05	Finite element methods applied to problems in solid mechanics
76M45	Asymptotic methods, singular perturbations applied to problems in fluid mechanics

Keywords:

fluid-structure interaction; deformable porous media; upscaling; linear elasticity; Stokes; finite elements

Citations:

Zbl 0917.73010; JFM 67.0837.01