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math.NA2021★ 3 cited
Application of adaptive ANOVA and reduced basis methods to the stochastic Stokes-Brinkman problem
Kevin Williamson, Heyrim Cho, Bedřich Sousedík
The Stokes-Brinkman equations model fluid flow in highly heterogeneous porous media. In this paper, we consider the numerical solution of the Stokes-Brinkman equations with stochas…
math.NA2018★ 12 cited
A posteriori error estimates and adaptive mesh refinement for the Stokes-Brinkman problem
Kevin Williamson, Pavel Burda, Bedřich Sousedík
The Stokes-Brinkman equations model flow in heterogeneous porous media by combining the Stokes and Darcy models of flow into a single system of equations. With suitable parameters,…