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[Seminar] [Seminar on Microlocal Analysis and Applications] Semiclassical analysis and the convergence of the finite element method

来源: 03-11

时间:2022/3/11 10:00-11:00

地点:Zoom: 618-038-6257, Password: SCMS

组织者:Chen Xi (复旦大学), Long Jin (清华大学)

主讲人:Jared Wunsch (美国西北大学)

 :

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.


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