A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes
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Publication:2134503
DOI10.1016/j.jcp.2021.110729OpenAlexW3203138520MaRDI QIDQ2134503
Publication date: 3 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110729
positivity-preservingcell-centered schemenonlinear correctionlinearity-preservingvertex interpolation
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Related Items (8)
A linearity-preserving technique for finite volume schemes of anisotropic diffusion problems on polygonal meshes ⋮ A family of edge-centered finite volume schemes for heterogeneous and anisotropic diffusion problems on unstructured meshes ⋮ A robust, interpolation‐free and monotone finite volume scheme for diffusion equations on arbitrary quadrilateral meshes ⋮ An interpolation-free cell-centered discretization of the heterogeneous and anisotropic diffusion problems on polygonal meshes ⋮ A nonlinear repair technique for the MPFA-D scheme in single-phase flow problems and heterogeneous and anisotropic media ⋮ A linearity-preserving diamond scheme with extended least square interpolation for the heterogeneous and anisotropic diffusion problems on polyhedral meshes ⋮ A deep learning method for multi-material diffusion problems based on physics-informed neural networks ⋮ A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes
Uses Software
Cites Work
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