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Corrector estimates and numerical simulations of a system of diffusion-reaction-dissolution-precipitation model in a porous medium

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arxiv 2208.08653 v2 pith:PK4KHO3B submitted 2022-08-18 math.AP

Corrector estimates and numerical simulations of a system of diffusion-reaction-dissolution-precipitation model in a porous medium

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keywords modelcorrectormicroscalenumericalsystemcomparecomputationscoupled
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A system of diffusion-reaction equations coupled with a dissolution-precipitation model is discussed. We start by introducing a microscale model together with its homogenized version. In the present paper, we first derive the corrector result to justify the obtained theoretical results. Furthermore, we perform the numerical computations to compare the outcome of the effective model with the original heterogeneous microscale model.

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