A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids

DOI10.1016/j.jcp.2017.04.070zbMath1380.65337OpenAlexW2610750819MaRDI QIDQ1693916

Jiming Wu, Xiaoping Zhang, Shuai Su

Publication date: 1 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.04.070

zbMATH Keywords

diffusion equationnonlinear two-point flux approximationvertex-centered schemepositivity-preserving scheme

Mathematics Subject Classification ID

PDEs in connection with classical thermodynamics and heat transfer (35Q79) Finite volume methods for boundary value problems involving PDEs (65N08)

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Uses Software

• KSSOLV
• Anderson
• TRHD

Cites Work

• TRHD: Three-temperature radiation-hydrodynamics code with an implicit non-equilibrium radiation transport using a cell-centered monotonic finite volume scheme on unstructured-grids
• A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
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• Monotonicity of control volume methods
• Monotone finite volume schemes for diffusion equations on polygonal meshes
• A family of monotone methods for the numerical solution of three-dimensional diffusion problems on unstructured tetrahedral meshes
• Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
• An efficient cell-centered diffusion scheme for quadrilateral grids
• Sufficient criteria are necessary for monotone control volume methods
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• Vertex-centered linearity-preserving schemes for nonlinear parabolic problems on polygonal grids
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• The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient
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• The mimetic finite difference method for elliptic problems
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• Two classes of multisecant methods for nonlinear acceleration
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• A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
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• Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems
• Iterative Procedures for Nonlinear Integral Equations
• A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES

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