Semiclassical analysis and the convergence of the finite element method
组织者
陈曦
,
金龙
演讲者
Jared Wunsch
时间
2022年03月11日 10:00 至 11:00
地点
1129B
线上
Zoom 618 038 6257
(SCMS)
摘要
An important problem in numerical analysis is the solution of the Helmholtz equation in exerior domains, in variable media; this models the scattering of time-harmonic waves. The Finite Element Method (FEM) is a flexible and powerful tool for obtaining numerical solutions, but difficulties are known to arise in obtaining convergence estimates for FEM that are uniform as the frequency of waves tends to infinity. I will describe some recent joint work with David Lafontaine and Euan Spence that yields new convergence results for the FEM which are uniform in the frequency parameter. The essential new tools come from semiclassical microlocal analysis. No knowledge of either FEM or semiclassical analysis will be assumed in the talk, however.