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Advanced polyhedral discretization methods for poromechanical modelling

Abstract : In this manuscript we focus on novel discretization schemes for solving the coupled equations of poroelasticity and we present analytical and numerical results for poromechanics problems relevant to geoscience applications. We propose to solve these problems using Hybrid High-Order (HHO) methods, a new class of nonconforming high-order methods supporting general polyhedral meshes. This Ph.D. thesis was conjointly founded by the Bureau de recherches géologiques et minières (BRGM) and LabEx NUMEV. The coupling between subsurface flow and geomechanical deformation is a crucial research topic for both cofunding institutions.
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Michele Botti. Advanced polyhedral discretization methods for poromechanical modelling. General Mathematics [math.GM]. Université Montpellier, 2018. English. ⟨NNT : 2018MONTS041⟩. ⟨tel-01871074v3⟩

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