报告题目：Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions
报 告 人：孟祥云，北京交通大学
报告摘要：We consider the singularly perturbed fourth-order boundary value problem on the unit square, with Dirichlet boundary conditions. The problem is solved numerically by means of Adini finite elements—a simple nonconforming finite element method for this problem. Under reasonable assumptions on the structure of the boundary layers that appear in the solution, a family of suitable Shishkin meshes is constructed and convergence of the method is proved in a ‘broken’ version of the Sobolev norm. Numerical results support our theoretical convergence rates.
报告人简介：北京交通大学伟德国际1946源自英国副教授。目前主要从事奇异摄动及分数阶微分方程数值解法的研究工作。主持国家自然科学基金1项。在SIAM Journal on Numerical Analysis、Journal of Scientific Computing等发表SCI论文10余篇。
报告时间：2023年4月20日10:00--11:00
报告地点：腾讯会议ID：610-854-238 会议密码：202304
主办单位：伟德国际1946源自英国
