Date and Time (China standard time): Thursday, Nov 27, 11:30am – 12:30pm

Location: IB 1010

Speaker: Dr. Yu Chen, Associate professor, Shanghai University of Finance and Economics

Abstract :

In this talk, we give a numerical method for elliptic equations based on reconstruction of the solution operator. We focus on the choice of learning samples, the stability of the reconstruction and the error estimate. With data of fundamental functions, numerical solutions or real measurements, the solution operator is reconstructed and can be reused for new computations. It is meshless which facilitates parallel and high resolution computation. It is indicated that for some kind of solutions, data of fundamental solutions chosen here are sufficient to provide numerical solutions with high accuracy. The method is applied to simulation of high frequency acoustic fields and can be potentially applied to inverse problems and design problems.

Bio: 

Yu Chen is associate professor at the School of Mathematics, Shanghai University of Finance and Economics. He was graduated from Fudan University and conducted postdoctoral research at Fudan University and the Fields Institute. His research interests are inverse problems and computational mathematics, primarily involving the reconstruction of solutions to elliptic equations based on interior local measurements and numerical methods for partial differential equations based on reconstruction of solution operators.