报告人：Bastian Harrach教授

报告题目： Monotonicity and Convexity in inverse coefficient problems

报告摘要：Several applications in medical imaging and non-destructive material testing lead to inverse elliptic coefficient problems, where an unknown coefficient function in an elliptic PDE is to be determined from partial knowledge of its solutions. This is usually a highly non-linear ill-posed inverse problem, for which unique reconstructability results, stability and resolution estimates and global convergence of numerical methods are very hard to achieve. In this talk we will review some recent results on Loewner Monotonicity and Convexity that may help in overcoming these issues.

报告时间：2024年5月7日  16:00-17:30

报告形式：Zoom会议，   会议号：635 8005 7301     https://jyufi.zoom.us/j/63580057301

报告人简介：Professor Bastian Harrach studied mathematics with a minor in physics at the University of Mainz and received his doctorate in 2006. After postdoc stays in Austria and Mainz, he became associate professor at the TU Munich and the University of Würzburg. In 2013, he was appointed full professor and chair (W3) of Optimization and Inverse Problems at the University of Stuttgart. He followed the call for a W3-professorship for Numerics of Partial Differential Equations at Goethe University Frankfurt in 2015. He rejected a further W3-offer to TU Berlin in 2023 in favor of the competing offer to stay at Goethe University. Since January 1, 2024, he is the Dean of the Department of Computer Science and Mathematics at Goethe University.