A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes
作者：
Highlights：
• The scheme regards the cell-centered unknowns and vertex unknowns as the primary un-knowns.
• The scheme obtains second-order accuracy for solution and first-order accuracy for flux, and it’s accuracy is similar to and even better than that of existing schemes.
• The scheme can deal with the diffusion problems with two or more discontinuous lines, which some existing schemes can not work for.
• The scheme can solve anisotropic and heterogeneous problems.
• The scheme satisfies the discrete maximum principle.
摘要
•The scheme regards the cell-centered unknowns and vertex unknowns as the primary un-knowns.•The scheme obtains second-order accuracy for solution and first-order accuracy for flux, and it’s accuracy is similar to and even better than that of existing schemes.•The scheme can deal with the diffusion problems with two or more discontinuous lines, which some existing schemes can not work for.•The scheme can solve anisotropic and heterogeneous problems.•The scheme satisfies the discrete maximum principle.
论文关键词：Finite volume scheme,Discrete maximum principle,Distorted meshes,Cell-centered unknowns,Vertex unknowns
论文评审过程：Received 8 May 2020, Revised 26 October 2020, Accepted 9 January 2021, Available online 20 January 2021, Version of Record 20 January 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.125989
