Monotonicity-based methods for elliptic inverse coefficient problems
发布者：系统管理员发布时间：2015-09-17浏览次数：571
| 报告题目： | Monotonicity-based methods for elliptic inverse coefficient problems |
| 报 告 人： | Prof. Bastian von Harrach |
| | Department of Mathematics, University of Stuttgart |
| 报告时间： | 9月21日(周一)15:00―16:00 |
| 报告地点： | 九龙湖校区数学系第一报告厅 |
| 相关介绍： | Some 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. In particular let us mention electrical impedance tomography (EIT), where electrical currents are driven through a patient to image its interior. The mathematical challenges behind such inverse coefficient problems reach from theoretical uniqueness questions to theconstruction of convergent numerical algorithms and stability issues. In this talk, we will describe recent advances on these problems that are based on monotonicity relations and the concept of localized potentials.
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