A Finite Volume Scheme for Three-Dimensional Diffusion Equations

DOI10.4208/CICP.140813.230215AzbMath1388.65080OpenAlexW2472145843MaRDI QIDQ5372407

Zhiqiang Sheng, Xiang Lai, Guang-Wei Yuan

Publication date: 27 October 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.140813.230215a

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (7)

A new finite volume scheme with gradient transfer method for solving diffusion problems on the distorted hexahedral meshes ⋮ A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients ⋮ A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes ⋮ A strong positivity‐preserving finite volume scheme for convection–diffusion equations on tetrahedral meshes ⋮ A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations ⋮ A mimetic interpolation-free cell-centered finite volume scheme for the 2D and 3D heterogeneous anisotropic diffusion equations ⋮ A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes

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