A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes
作者：
Highlights：
• It allows arbitrary diffusion tensors.
• It is neither discontinuity dependent nor mesh topology dependent.
• It is applicable on general meshes even with nonplanar faces.
• It is linearity-preserving which is verified by numerical experiments.
• Both LSDS and GLS do not need edge information, and the edgeindependent feature makes the programming simpler.
• GLS performs better than the least squares interpolation in most tested cases from the numerical experiments section.
• It has nearly optimal accuracy for the approximate solution on general meshes.
摘要
•It allows arbitrary diffusion tensors.•It is neither discontinuity dependent nor mesh topology dependent.•It is applicable on general meshes even with nonplanar faces.•It is linearity-preserving which is verified by numerical experiments.•Both LSDS and GLS do not need edge information, and the edgeindependent feature makes the programming simpler.•GLS performs better than the least squares interpolation in most tested cases from the numerical experiments section.•It has nearly optimal accuracy for the approximate solution on general meshes.
论文关键词：Cell-centered scheme,Vertex interpolation,Linearity-preserving,Heterogeneous anisotropy,Least squares
论文评审过程：Received 27 September 2021, Revised 10 November 2021, Accepted 28 November 2021, Available online 15 December 2021, Version of Record 15 December 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126847
