D'Angelo, CarloPanasenko, GrigoryQuarteroni, Alfio2013-03-282013-03-282013-03-28201310.1080/00036811.2011.601457https://infoscience.epfl.ch/handle/20.500.14299/91000WOS:000313032000011In this article the Stokes equations are considered in a domain simulating a capillary bed system. The capillaries are supposed to be thin, parallel and periodic. An asymptotic approximation is constructed. The macroscopic pressure satisfies a Robin interface condition whose coefficients are calculated numerically through a finite element approximation of a boundary layer problem, which is inspired to a domain decomposition technique.asymptotic expansionRobin interface conditionsStokes equationsporous mediumdomain decompositionAsymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir-capillaries interfacetext::journal::journal article::research article