报告问题：恣意多边形网格上对流扩散方程的插值自由单位中心有限体积名堂（An interpolation-free cell-centered finite volume scheme for diffusion/convection-diffusion equations on arbitrary polygonal polyhedral meshes）

报告人 (Speaker)：邬吉明 教授（北京应用物理与盘算数学研究所研究员）

报告时间 (Time)：2023年11月2日(周四) 10：00

报告所在 (Place)：腾讯聚会：884-957-741

约请人(Inviter)：刘东杰 教授

主理部分：理学院数学系

报告摘要：

We present a novel cell-centered finite volume discretization of the heterogeneous and anisotropic diffusion/convection-diffusion problems on polygonal/polyhedral meshes. The unknowns of the resulting linear scheme are the values at the cell centers,

and no auxiliary unknowns are involved. To the best of our knowledge, this is the first linear cell-centered scheme that is interpolation-free and of second order accuracy on arbitrary meshes with arbitrary discontinuities. Numerical experiments show the efficiency of the new linear finite volume scheme.