时间分数阶方程正反问题系列报告（七）： The applications of group sparse reconstruction method in inverse problems

发布时间：2023-09-15 作者：浏览次数：

Speaker:	张文龙	DateTime:	2023年9月24日（周日）上午09：10-09：55
Brief Introduction to Speaker: 张文龙，数学博士，本科毕业于南京大学，先后在中国科学院，巴黎高等师范学校获得硕士博士学位。研究方向包括反问题理论数值计算、不确定性量化、数值分析等。主持国家自然科学基金青年基金，深圳市博士启动项目，获得深圳市海外高层次人才C类。在Siam系列，Inverse Problems等Top杂志发表十余篇论文。		Place:	6号楼2楼报告厅
Abstract:In this talk, I will present two results to solve electrical impedance tomography and diffuse optical spectroscopic imaging using group sparse reconstruction method. Theoretical and numerical results are shown. It is based on linearization and group sparsity, which allows the diffusion coefficient and absorption coefficient to be recovered simultaneously, provided that their spectral profiles are incoherent and a sufficient number of wavelengths are judiciously taken for the measurements. We also discuss the reconstruction for an imperfectly known boundary and show that, with multi-wavelength data, the method can reduce the influence of modelling errors and still recover the absorption coefficient.