汇报标题：肆意多边形网格上对流扩散方程的插值自由单元中心有限体积体式（An interpolation-free cell-centered finite volume scheme for diffusion/convection-diffusion equations on arbitrary polygonal polyhedral meshes）
汇报人 (Speaker)：邬吉明 教授（北京利用物理与推算数学钻研所钻研员）
汇报功夫 (Time)：2023年11月2日(周四) 10：00
汇报地址 (Place)：腾讯会议：884-957-741
约请人(Inviter)：刘东杰 教授
主办部门：理学院数学系
汇报提要：
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.
