报告人:Bastian Harrach教授
报告题目:Monotonicity-based regularization of inverse coefficient problems
报告摘要:Newly emerging imaging methods lead to the inverse problem of
determining one or several coefficient function(s) in an elliptic partial differential equation from (partial) knowledge of its solutions. A natural and generic approach is to approximate the unknown coefficients by minimizing a linearized and regularized data-fit functional. In this talk, we will show how to regularize the linearized data-fit functional with monotonicity-based constraints in such a way that convergence of certain shape properties in the reconstructions can be rigorously guaranteed.
报告时间:2024年11月26日 18:00-19:30
报告形式:Zoom会议,会议号:872 2111 0141 https://us06web.zoom.us/j/87221110141?pwd=brjsIFAKS1mpdOgnb09aH5L85naqvI.1
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.