Parametrized optimal control and transport-dominated problems: Reduced basis methods, nonlinear reduction strategies and data driven surrogates

Basic data of the doctoral examination procedure

Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster

Period of time: 01/01/2021 - 19/12/2024

Status: completed

Candidate: Kleikamp, Hendrik

Doctoral subject: Mathematik

Doctoral degree: Dr. rer. nat.

Form of the doctoral thesis: monographic

Awarded by: Department 10 - Mathematics and Computer Science

Supervisors: Ohlberger, Mario

Reviewers: Ohlberger, Mario; Breiten, Tobias

Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)

Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)

Center for Nonlinear Science

Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)

Duration: 01/01/2019 - 31/12/2025 | 1st Funding period

Funded by: DFG - Cluster of Excellence

Type of project: Main DFG-project hosted at University of Münster

Adaptive Model Hierarchies for Multi-Query Scenarios Kleikamp, Hendrik; Ohlberger, Mario (2025) In: Körner, Andreas; Kugi, Andreas; Kemmetmüller, Wolfgang; Deutschmann-Olek, Andreas; Steinböck, Andreas; Hartl-Nesic, Christian; Jadachowski, Lukasz Piotr (eds.), MATHMOD 2025 - Discussion Contribution Volume. Wien: ARGESIM Verlag. Research article in edited proceedings (conference)
Two-stage model reduction approaches for the efficient and certified solution of parametrized optimal control problems Kleikamp, Hendrik; Renelt, Lukas (2025) In: Journal of Scientific Computing, 104(78). Research article (journal)
Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling Wenzel, Tizian; Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix (2024) In: Lirkov, I.; Margenov, S. (eds.), Large-Scale Scientific Computations. Cham: Springer Nature. Research article in edited proceedings (conference)
A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs Haasdonk B, Kleikamp H, Ohlberger M, Schindler F, Wenzel T (2023) In: SIAM Journal on Scientific Computing, 45(3). Research article (journal)
Model Reduction and Learning for PDE Constrained Optimization Ohlberger, M.; Banholzer, S.; Haasdonk, B.; Keil, T., Kleikamp, H.; Mechelli, L.; Oguntola, M;, Schindler,F.; Volkwein, S.; Wenzel, T. (2023) In: Oberwolfach Reports, 13/2023. Abstract in journal (conference)