A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle

DOI10.1016/j.apnum.2020.04.014zbMath1442.65328OpenAlexW3018872947MaRDI QIDQ2189683

Zhiqiang Sheng, Jing-Yan Yue, Guang-Wei Yuan

Publication date: 16 June 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.04.014

zbMATH Keywords

maximum principleconvex combinationfinite volumeheterogeneousdistorted meshes

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Second-order elliptic equations (35J15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (5)

A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics ⋮ A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes ⋮ A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations ⋮ A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes ⋮ A multipoint flux approximation with a diamond stencil and a non-linear defect correction strategy for the numerical solution of steady state diffusion problems in heterogeneous and anisotropic media satisfying the discrete maximum principle

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