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题目:Reconstruction via the intrinsic geometric structures of interior transmission

2017/06/19 00:00 科研秘书 点击:[]

报告人:李晓菲(南方科技大学)

时间:2017.06.21 10:45 — 11:30


地点:理科楼LD201

报告摘要:We are concerned with the inverse scattering problem of extracting the geometric structures of an unknown/inaccessible inhomogeneous medium by using the corresponding acoustic far-field measurement. Using the intrinsic geometric properties of the so-called interior transmission eigenfunctions, we develop a novel inverse scattering scheme. The proposed method can efficiently capture the cusp singularities of the support of the inhomogeneous medium. If further a priori information is available on the support of the medium, say, it is a convex polyhedron, then one can actually recover its shape. Both theoretical analysis and numerical experiments are provided. Our reconstruction method is new to the literature and opens up a new direction in the study of inverse scattering problems.
This is a joint work with Jingzhi Li and Hongyu Liu.

报告人简介:李晓菲,女,1987年出生,南方科技大学博士后。李晓菲博士于2016年毕业于韩国仁荷大学数学系,主要研究方向为数学物理方程,反问题与成像,材料科学中的数学研究等,相关研究结果已发表在“SIAM on Applied Mathematics", "IMA Journal of Applied Mathematics”, “Journal of Physics A”等学术期刊。李晓菲博士主持中国博士后面上项目一项,参与国家自然科学基金面上项目一项。李晓菲博士曾先后应邀访问美国犹他大学,香港浸会大学等单位,进行科研合作。

学院联系人:曾芳

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