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

Forschungsartikel (Zeitschrift) | Peer reviewed | Veröffentlicht

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

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

In: arXiv:2605.19896.

Forschungsartikel in Online-Sammlung | Preprint | eingereicht / in Begutachtung

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 (Hrsg.), Proceedings of the 18th International Conference on Metadata and Semantics Research 2024, 95-109. Cham:

Forschungsartikel in Sammelband (Konferenz) | Peer reviewed | Veröffentlicht

Adaptive Model Hierarchies for Multi-Query Scenarios

In: (Hrsg.), , -.

| 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 Forschungsartikel (Zeitschrift) \| Peer reviewed \| Veröffentlicht
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. Forschungsartikel in Online-Sammlung \| Preprint \| eingereicht / in Begutachtung
Adaptive Reduced-Basis Trust-Region Methods for Defect Identification in Elastic Materials Klein, Benedikt; Ohlberger, Mario; Schuster, Thomas (2026) In: arXiv:2605.19896. Forschungsartikel in Online-Sammlung \| Preprint \| eingereicht / in Begutachtung
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 Forschungsartikel (Zeitschrift) \| Peer reviewed \| Veröffentlicht
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 (Hrsg.), Proceedings of the 18th International Conference on Metadata and Semantics Research 2024, 95-109. Cham: Forschungsartikel in Sammelband (Konferenz) \| Peer reviewed \| Veröffentlicht
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: (Hrsg.), , -. \| Peer reviewed
A Trust Region RB-ML-ROM Approach for Parabolic PDE Constrained Optimization In: (Hrsg.), , -. \| 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