Modeling, Structure and Discretization of Hierarchical Mixed-Dimensional Partial Differential Equations

DOI10.1007/978-3-319-93873-8_7zbMath1442.65390arXiv1705.06876OpenAlexW2907276736MaRDI QIDQ5114527

W. M. Boon, Jan Martin Nordbotten

Publication date: 24 June 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06876

zbMATH Keywords

decompositionporous mediahierarchyPDEs on manifoldsmixed-dimensional partial differential equations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs on manifolds (35R01)

Related Items (9)

A dimensionally-reduced fracture flow model for poroelastic media with fluid entry resistance and fluid slip ⋮ Functional analysis and exterior calculus on mixed-dimensional geometries ⋮ Unified approach to discretization of flow in fractured porous media ⋮ Intersecting fractures in porous media: mathematical and numerical analysis ⋮ A reduced basis method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes ⋮ Mixed-dimensional poromechanical models of fractured porous media ⋮ Mixed-Dimensional Auxiliary Space Preconditioners ⋮ Cut finite elements for convection in fractured domains ⋮ Stable mixed finite elements for linear elasticity with thin inclusions

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