3 papers
math.OC2020
High-order homogenization in optimal control by the Bloch wave method
Agnes Lamacz-Keymling, Irwin Yousept
This article examines a linear-quadratic elliptic optimal control problem in which the cost functional and the state equation involve a highly oscillatory periodic coefficient $A^\…
math.FA2020
Variational source conditions in Lp-spaces
De-Han Chen, Irwin Yousept
We propose and analyze variational source conditions (VSC) for the Tikhonov regularization method with Lp-norm penalties for a general ill-posed operator equation in a Banach space…
math.OC2020
Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities
Antoine Laurain, Malte Winckler, Irwin Yousept
This paper is devoted to the theoretical and numerical study of an optimal design problem in high-temperature superconductivity (HTS). The shape optimization problem is to find an…