Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Prof. Ruchi Guo, Department of Mathematics, Ohio S tate University, USA
Inviter:	曹礼群研究员
Title:	Immersed Finite Element Methods and the Applications in Interface Inverse Problems
Time & Venue:	2019.7.15 16:00-17:00 N702
Abstract:	Interface problems and the related inverse problems widely appear in many engineering applications. These problems in general involve multiple materials coupled through interfaces which cause challenges to numerical methods. In this talk, I will firstly introduce the main ideas of immersed finite element (IFE) methods to solve interface problems with optimal accuracy on unfitted meshes which can be generated independently with the interface. Then I will describe a parameterized shape optimization algorithm based on IFE methods to solve a group of interface inverse problems including electrical impedance tomography (EIT) and elastography. A set of numerical experiments are shown to demonstrate the strength and versatility of the proposed method.