Research-Error Estimates of the Finite Element Method for Interior Transmission Problem and Interior Transmission Eigenvalue Problem

Research

Computational & Applied Math Seminar

Error Estimates of the Finite Element Method for Interior Transmission Problem and Interior Transmission Eigenvalue Problem

Speaker: Xinming Wu（Fudan University）
Time: Jul 3, 2024, 15:00-16:00
Location: Tencent Meeting ID: 400 621 698，Password:0703

Abstract

The interior transmission problem (ITP) plays an important role in the investigation of the inverse scattering problem. In this talk, we propose the finite element method for solving the ITP and the corresponding transmission eigenvalue problem. A type of multilevel correction method is proposed to improve the overfull efficiency of the eigenvalue solving. Some numerical examples are provided to validate the theoretical results and the efficiency of the proposed numerical scheme.