Abstract
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.
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Abdulle, A., Budáč, O. (2015). Multiscale Adaptive Method for Stokes Flow in Heterogenenous Media. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_36
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DOI: https://doi.org/10.1007/978-3-319-10705-9_36
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