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​​Dr. Maurice Hensel
Universität Duisburg-Essen
Fakultät für Mathematik
Thea-Leymann-Straße 9
D-45127 Essen

Room: WSC-W-4.17, +49 201 183 3498
E-mail: maurice.hensel@uni-due.de

Research interests

• Computational Electromagnetism
• Optimal Control and Numerical Analysis
• Regularization techniques
• Non-smooth Optimization, as encountered in Neural Network training

Publications

[4] Maurice Hensel, Malte Winckler and Irwin Yousept: Numerical Solutions to Hyperbolic Maxwell Quasi-variational Inequalities in Bean-Kim Model for Superconductivity, preprint, 2023.

[3] Gabriele Caselli, Maurice Hensel and Irwin Yousept: Quasilinear Variational Inequalities in Ferromagnetic Shielding: Well-posedness, Regularity, and Optimal Control [PDF], SIAM Journal on Control and Optimization, 61(4), 2043-2068, 2023.

[2] Maurice Hensel and Irwin Yousept: Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding [PDF], SIAM Journal on Numerical Analysis, 60(3), 1083-1110, 2022.

[1] Maurice Hensel and Irwin Yousept: Eddy Current Approximation in Maxwell Obstacle Problems [PDF], Interfaces and Free Boundaries, 10.4171/IFB/486, 2022.

Dissertation

Advances in the Analysis, Numerics and Optimization of Maxwell Variational Inequalities. Defended in April 2023. [Link]

Conference Talks

• SPP 1962 Annual Meeting, October 2022, Berlin. [Slides]
• Computational Methods in Applied Mathematics, August 2022, Vienna. [Slides]
• East and Southeast Asia Workshop on Inverse Problems and Optimal Control, August 2022, online. [Slides]
• IFIP System Modeling and Optimization,  July 2022, Warsaw. [Slides]
• Conference on Mathematics of Wave Phenomena, February 2022, online. [Slides]
• Numerical Analysis of Electromagnetic Problems, March 2021, Oberwolfach. [Slides]

Teaching

• Introduction to Numerical Methods, Lecture - Winter Term 2022/23
• Introduction to Numerical Methods, Lecture - Winter Term 2021/22
• Advanced Numerical Methods, Lecture - Summer Term 2021
• Optimal Control of PDEs, Exercise class - Summer Term 2021
• Numerical Analysis of PDEs, Exercise class - Winter Term 2020/21
• Numerical Analysis of ODEs, Exercise class - Summer Term 2020