报告题目：Reconstruction of unknown inclusions based on the diffusion model
时间地点：2018年11月2日 下午2:00-3:00, 后主楼1124.
Consider the problem of reconstructing unknown inclusions inside a diffusive medium from boundary measurements, which arises from active thermography and diffuse optical tomography. It is formulated as an inverse boundary value problem for the diffusion equation. We introduce two non-iterative methods for reconstructing the boundary of the unknown inclusion. One is a sampling-type method, which is based on the characterization of the solution to the so-called Neumann-to-Dirichlet map gap equation. The second is a direct algorithm for locating small inclusions, which is based on the asymptotic expansion for the weighted boundary measurement. Some close relations between them are discussed. Numerical results are also presented to show the efficiency and stability of the proposed methods.