A generalized multiscale finite element method (GMsFEM) for perforated domain flows with Robin boundary conditions

DOI10.1016/j.cam.2019.03.007zbMath1426.65183OpenAlexW2921001623WikidataQ128293860 ScholiaQ128293860MaRDI QIDQ2424939

Wing Tat Leung, Denis Spiridonov, Maria Vasilyeva

Publication date: 25 June 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.03.007

zbMATH Keywords

Robin boundary conditionsperforated domaingeneralized multiscale finite element methodGMsFEM

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Uses Software

• Gmsh
• FEniCS
• SyFi

Cites Work

• Mixed GMsFEM for second order elliptic problem in perforated domains
• A generalized multiscale finite element method for elastic wave propagation in fractured media
• Multiscale model reduction for shale gas transport in fractured media
• Automated solution of differential equations by the finite element method. The FEniCS book
• Diffusion, convection, adsorption, and reaction of chemicals in porous media
• A generalized multiscale finite element method for poroelasticity problems. I: Linear problems.
• A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains
• Long-time asymptotics of a multiscale model for polymeric fluid flows
• Generalized multiscale finite element methods for problems in perforated heterogeneous domains
• Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media
• Multiscale Finite Element Methods
• Multiscale Modelling of Complex Fluids: A Mathematical Initiation
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• ON THE PORE-SCALE MODELING AND SIMULATION OF REACTIVE TRANSPORT IN 3D GEOMETRIES
• An MsFEM Type Approach for Perforated Domains
• Sequential Homogenization of Reactive Transport in Polydisperse Porous Media
• Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains
• On numerical homogenization of shale gas transport
• Unnamed Item

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