Multi-fidelity Learning of Reduced Order Models for Parabolic PDE Constrained Optimization

Klein, Benedikt; Ohlberger, Mario (2026)

In: Advances in Computational Mathematics, 52(19), 1-36. doi:10.1007/s10444-026-10296-6

Research article (journal) | Peer reviewed | Published

Adaptive Reduced-Basis Trust-Region Methods for Defect Identification in Elastic Materials

Klein, Benedikt; Ohlberger, Mario; Schuster, Thomas (2026)

In: arXiv:2605.19896.

Research article in digital collection | Preprint | submitted / under review

Towards a Knowledge Graph for Models and Algorithms in Applied Mathematics

Schembera, Björn; Wübbeling, Frank; Kleikamp, Hendrik; Schmidt, Burkhard; Shehu, Aurela; Reidelbach, Marco; Biedinger, Christine; Fiedler, Jochen; Koprucki, Thomas; Iglezakis, Dorothea; Göddeke, Dominik (2025)

In: Sfakakis, Michalis; Garoufallou, Emmanouel; Damigos, Matthew; Salaba, Athena; Papatheodorou, Christos (eds.), Proceedings of the 18th International Conference on Metadata and Semantics Research 2024, 95-109. Cham: .

Research article in edited proceedings (conference) | Peer reviewed | Published

Adaptive Model Hierarchies for Multi-Query Scenarios

In: (eds.), , -.

| Peer reviewed

Improving Interoperability in Scientific Computing via MaRDI Open Interfaces

In: , .

| Peer reviewed

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Multi-fidelity Learning of Reduced Order Models for Parabolic PDE Constrained Optimization Klein, Benedikt; Ohlberger, Mario (2026) In: Advances in Computational Mathematics, 52(19), 1-36. doi:10.1007/s10444-026-10296-6 Research article (journal) \| Peer reviewed \| Published
A New Adaptive Deep Learning based Reduced Order Model for Hybrid-Type Parabolic PDEs: Rigorous Error Analysis and Applications Kotowski, Dawid; Ohlberger, Mario (2026) In: arXiv:2604.22512. Research article in digital collection \| Preprint \| submitted / under review
Adaptive Reduced-Basis Trust-Region Methods for Defect Identification in Elastic Materials Klein, Benedikt; Ohlberger, Mario; Schuster, Thomas (2026) In: arXiv:2605.19896. Research article in digital collection \| Preprint \| submitted / under review
Be greedy and learn: efficient and certified algorithms for parametrized optimal control problems Kleikamp, Hendrik; Lazar, Martin; Molinari, Cesare (2025) In: ESAIM: Mathematical Modelling and Numerical Analysis, 59(1), 291-330. doi:10.1051/m2an/2024074 Research article (journal) \| Peer reviewed \| Published
Towards a Knowledge Graph for Models and Algorithms in Applied Mathematics Schembera, Björn; Wübbeling, Frank; Kleikamp, Hendrik; Schmidt, Burkhard; Shehu, Aurela; Reidelbach, Marco; Biedinger, Christine; Fiedler, Jochen; Koprucki, Thomas; Iglezakis, Dorothea; Göddeke, Dominik (2025) In: Sfakakis, Michalis; Garoufallou, Emmanouel; Damigos, Matthew; Salaba, Athena; Papatheodorou, Christos (eds.), Proceedings of the 18th International Conference on Metadata and Semantics Research 2024, 95-109. Cham: . Research article in edited proceedings (conference) \| Peer reviewed \| Published
Two-stage model reduction approaches for the efficient and certified solution of parametrized optimal control problems In: .
Adaptive Model Hierarchies for Multi-Query Scenarios In: (eds.), , -. \| Peer reviewed
A Trust Region RB-ML-ROM Approach for Parabolic PDE Constrained Optimization In: (eds.), , -. \| Peer reviewed
Improving Interoperability in Scientific Computing via MaRDI Open Interfaces In: , . \| Peer reviewed
Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems In: \| Preprint