名师讲堂：Geometry, Mesh, and Higher-Order Finite Elements
本次名师讲堂将邀请中国科学院院士陈志明研究员，围绕高阶非适配有限元方法在笛卡尔网格上的应用进行学术交流，重点探讨椭圆界面问题的数值求解。
报告介绍
We consider higher-order unfitted finite element methods on Cartesian
meshes with hanging nodes for elliptic interface problems, which release
the work of body-fitted mesh generation and allow us to design adaptive
finite element methods for solving curved geometric singularities. We
will review the results for two-dimensional problems and introduce a new
high order unfitted finite element method in three-dimension that improves
the numerical stability of high-order unfitted finite element methods
on arbitrarily shaped smooth domains. This talk is based on joint works
with Ke Li, Yong Liu, Maohui Liu and Xueshuang Xiang.
报告人介绍
陈志明，中国科学院数学与系统科学研究院研究员。主要研究领域为数值分析与科学计算。曾获冯康科学计算奖、国家自然科学奖二等奖、中国数学会“陈省身数学奖”。
2006年国际数学家大会和2027年国际工业与应用数学大会邀请报告人。2017年当选中国科学院院士。
