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The Darcy problem with porosity depending exponentially on the pressure (2011.02667v1)
Published 5 Nov 2020 in math.AP, cs.NA, and math.NA
Abstract: We consider the flow of a viscous incompressible fluid through a porous medium. We allow the permeability of the medium to depend exponentially on the pressure and provide an analysis for this model. We study a splitting formulation where a convection diffusion problem is used to define the permeability, which is then used in a linear Darcy equation. We also study a discretization of this problem, and provide an error analysis for it.