A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids

DOI10.1007/978-3-030-43651-3_55zbMath1454.65147OpenAlexW3035708029MaRDI QIDQ5117484

Olav Møyner, Xavier Raynaud, Øystein Strengehagen Klemetsdal, Knut-Andreas Lie

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_55

zbMATH Keywords

reservoir simulationfinite volumesMPFAVEMTPFAMFDelliptic discretizationsNTPFA

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Finite difference methods for boundary value problems involving PDEs (65N06) Geological problems (86A60) PDEs in connection with geophysics (35Q86) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (1)

Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics

Uses Software

• MRST

Cites Work

• Equivalent projectors for virtual element methods
• A monotone nonlinear finite volume method for diffusion equations and multiphase flows
• Open-source MATLAB implementation of consistent discretisations on complex grids
• Local flux mimetic finite difference methods
• Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes
• Monotone nonlinear finite-volume method for challenging grids
• An introduction to multipoint flux approximations for quadrilateral grids
• Efficient reordered nonlinear Gauss-Seidel solvers with higher order for black-oil models
• Monotonicity for MPFA methods on triangular grids
• Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
• Basic principles of mixed Virtual Element Methods
• 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
• Upscaling: a review
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• An Introduction to Reservoir Simulation Using MATLAB/GNU Octave
• Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

This page was built for publication: A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids