Seminar: Direct reconstruction methods for inverse source problems with single-frequency data

Time:

Venue/Location: Phòng C101, VIASM

Báo cáo viên: Assoc. Prof. Nguyễn Đình Liêm (Kansas State University, USA)

Tóm tắt: Inverse source problems involve determining an unknown source from indirect measurements associated with the source. These problems, which arise in a variety of applications such as nondestructive testing, radar, and medical imaging, have been an active research topic in the mathematics, engineering, and physics communities for several decades. However, these problems are highly ill-posed, posing significant challenges in developing efficient numerical methods for their solution. In this talk, we will present our recent results in developing numerical methods with novel imaging functions for solving inverse source problems using boundary data at a single frequency. Theoretical justifications and numerical simulations of the proposed method will be discussed. Our approach is non-iterative, computationally efficient, and straightforward to implement. This talk is based on joint work with Isaac Harris and Thu Le.