Multiscale Adaptive Method for Stokes Flow in Heterogenenous Media

  • Assyr AbdulleEmail author
  • Ondrej Budáč
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 103)


We present a multiscale micro-macro method for the Stokes problem in heterogeneous media. The macroscopic method discretizes a Darcy problem on a coarse mesh with permeability data recovered from solutions of Stokes problems around quadrature points. The accuracy of both the macro and the micro solvers is controlled by appropriately coupled a posteriori error indicators, while the total cost of the multiscale method is independent of the pore size. Two and three-dimensional numerical experiments illustrate the capabilities of the adaptive method.


Porous Medium Posteriori Error Stokes Problem Posteriori Error Estimate Quadrature Point 
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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.ANMC, Section de MathématiquesÉcole Polytechnique Fédérale de LausanneLausanneSwitzerland

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