Monotonicity-based regularization of inverse coefficient problems
Prof. Bastian Harrach
Date & Time
21 Feb 2025 (Fri) | 10:00 AM - 11:00 AM
Venue
B5-208, Yeung Kin Man Academic Building
ABSTRACT
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.