The multiscale hybrid mixed method in general polygonal meshes

DOI10.1007/s00211-020-01103-5zbMath1440.65177OpenAlexW2941710969MaRDI QIDQ2184733

Fabrice Jaillet, Diego Paredes, Gabriel R. Barrenechea, Frédéric Valentin

Publication date: 29 May 2020

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-02054681/file/BJPV18.pdf

zbMATH Keywords

multiscale hybrid-mixed methodsecond-order Laplace (Darcy) equation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Integro-partial differential equations (35R09)

Related Items (8)

Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods ⋮ Revisiting the robustness of the multiscale hybrid-mixed method: the face-based strategy ⋮ A Petrov-Galerkin multiscale hybrid-mixed method for the Darcy equation on polytopes ⋮ Stress mixed polyhedral finite elements for two-scale elasticity models with relaxed symmetry ⋮ Exact sequences of conforming finite element spaces with interface constraints for macro polytopal meshes ⋮ A polygonal discontinuous Galerkin method with minus one stabilization ⋮ Flux-Mortar Mixed Finite Element Methods on NonMatching Grids ⋮ Recursive formulation and parallel implementation of multiscale mixed methods

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