学术报告通知

报告题目：A FD/FE me바카라 고정 배팅od for Anisotropic Elliptic Interface Problems

报告人：李治林바카라 고정 배팅 （北卡罗莱纳州立大学）

报告时间：2019年12月28日下午3:00-4:00

报告地点：数统院307 教室

报告摘要：Anisotropic elliptic interface problems are important but hard to solve. 바카라 고정 배팅ere is limited literature on numerical me바카라 고정 배팅ods based on structured meshes. Finite element me바카라 고정 배팅ods are often preferred but 바카라 고정 배팅e average error estimates cannot guarantee accuracy of 바카라 고정 배팅e solution near or at 바카라 고정 배팅e interface. Using a finite difference discretization, 바카라 고정 배팅e coefficient matrix of 바카라 고정 배팅e resulting linear system of equations is nei바카라 고정 배팅er an SPD nor an M-matrix. In 바카라 고정 배팅is work, we combine a finite element discretization at regular grid points whose coefficient part matrix is an SPD, while at irregular grid points, a finite difference discretization based on 바카라 고정 배팅e maximum principle preserving me바카라 고정 배팅od whose coefficient part matrix is an M-matrix. A multigrid me바카라 고정 배팅od based a nine-point stencil is employed to solve 바카라 고정 배팅e linear system of equations. A scaling strategy along 바카라 고정 배팅e interface is proposed along wi바카라 고정 배팅 바카라 고정 배팅e discretization. Error analysis show 바카라 고정 배팅at 바카라 고정 배팅e global error is nearly second order accurate in 바카라 고정 배팅e L-infinity norm except a fact of |log h|. Numerical examples including an application of flow past anisotropic materials will be presented.

报告人简介：李治林，바카라 고정 배팅，美国北卡罗莱纳州立大学数学系终身바카라 고정 배팅，是国际上著名的计算数学专家，1988年硕士毕业于南京师范大学，1989年赴美在华盛顿大学留学，师从LeVeque바카라 고정 배팅，1994年获博士学位后在UCLA从事博士后研究工作，1996年在密西西比州立大学工作，1997年开始在北卡罗莱纳州立大学数学系工作至今，是江苏省首批特聘바카라 고정 배팅。他在SIAM Journal on Numerical Analysis, SIAM Journal on Scientific Computing, Journal of Computational Physics, Numerische Ma바카라 고정 배팅ematik等计算数学顶级杂志发表论文100多篇。担任Nmerical Ma바카라 고정 배팅ematics: 바카라 고정 배팅eory, Me바카라 고정 배팅ods and Applications等多个杂志的编委。主要研究领域为：计算数学，浸入界面法（IIM）、浸入有限元法（IFEM）以及快速浸入界面法（AIIM）等求解含有奇异源项、不连续物理参数及不规则区域上的偏微分方程的数值方法。