Publications

Preprints


Kleikamp, Hendrik and Wenzel, Tizian. Kernel Methods in the Deep Ritz framework: Theory and practice. arXiv, 2024

Journal Articles


Kleikamp, Hendrik and Renelt, Lukas. Two-Stage Model Reduction Approaches for the Efficient and Certified Solution of Parametrized Optimal Control Problems. Journal of Scientific Computing, 104(3), Springer, 2025
Kleikamp, Hendrik and Lazar, Martin and Molinari, Cesare. Be greedy and learn: efficient and certified algorithms for parametrized optimal control problems. ESAIM -- Mathematical Modelling and Numerical Analysis, 59(1):291--330, EDP Sciences, 2025
Haasdonk, Bernard and Kleikamp, Hendrik and Ohlberger, Mario and Schindler, Felix and Wenzel, Tizian. A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs. SIAM Journal on Scientific Computing, 45(3):A1039--A1065, 2023
Keil, Tim and Kleikamp, Hendrik and Lorentzen, Rolf J. and Oguntola, Micheal B. and Ohlberger, Mario. Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. Advances in Computational Mathematics, 48(6):73, 2022

Proceedings


Schembera, Björn and Wübbeling, Frank and Kleikamp, Hendrik and Schmidt, Burkhard and Shehu, Aurela and Reidelbach, Marco and Biedinger, Christine and Fiedler, Jochen and Koprucki, Thomas and Iglezakis, Dorothea and Göddeke, Dominik. Towards a Knowledge Graph for Models and Algorithms in Applied Mathematics. Metadata and Semantic Research, Springer Nature Switzerland, 2025
Kleikamp, Hendrik and Ohlberger, Mario. Adaptive Model Hierarchies for Multi-Query Scenarios. MATHMOD 2025 Short Contribution Volume, 2025
Wenzel, Tizian and Haasdonk, Bernard and Kleikamp, Hendrik and Ohlberger, Mario and Schindler, Felix. Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling. Lecture Notes in Computer Science, Springer Nature Switzerland, 2024
Schembera, Björn and Wübbeling, Frank and Kleikamp, Hendrik and Biedinger, Christine and Fiedler, Jochen and Reidelbach, Marco and Shehu, Aurela and Schmidt, Burkhard and Koprucki, Thomas and Iglezakis, Dorothea and Göddeke, Dominik. Ontologies for Models and Algorithms in Applied Mathematics and Related Disciplines. Communications in Computer and Information Science, Springer Nature Switzerland, 2024
Kleikamp, Hendrik. Application of an adaptive model hierarchy to parametrized optimal control problems. 2024
Kleikamp, Hendrik and Ohlberger, Mario and Rave, Stephan. Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain. MATHMOD 2022 Discussion Contribution Volume, ARGESIM Publisher Vienna, 2022

PhD theses


Kleikamp, Hendrik. Parametrized optimal control and transport-dominated problems reduced basis methods, nonlinear reduction strategies and data-driven surrogates. Universität Münster, 2024