Prof. Dr. Christian Engwer

Current affiliations

Professorship for Applications of Partial Differential Equations
Center for Nonlinear Science

Curriculum Vitae (CV)

Numerical methods for partial differential equations
Scoientific Computing
High-Performance Computing
Design and development of numerical software
Cut-cell methods
Numerical methods for surface PDEs and geometric PDEs
Biomedical Applications

Publications

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems Engwer, Christian; Ohlberger, Mario; Rebelt, Lukas (2025) In: arXiv:2507.00678. Research article in digital collection \| Preprint \| submitted / under review
Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems Engwer, Christian; Ohlberger, Mario; Renelt, Lukas (2024) In: SIAM Journal on Scientific Computing, 46(5), A3205-A3229. doi:10.1137/23M1613402 Research article (journal) \| Peer reviewed \| Published
Construction of local reduced spaces for Friedrichs' systems via randomized training Engwer,Christian; Ohlberger, Mario; Renelt, Lukas (2024) In: Central-European Conference on Scientific Computing, ALGORITMY, Podbanské, Slovakia. Proceedings of the Conference Algoritmy 2024. Research article in digital collection (conference) \| Peer reviewed \| Published
Brainstorm-DUNEuro: An integrated and user-friendly Finite Element Method for modeling electromagnetic brain activity Medani, Takfarinas; Garcia-Prieto, Juan; Tadel, Francois; Antonakakis, Marios; Erdbrügger, Tim; Höltershinken, Malte; Mead, Wayne; Schrader, Sophie; Joshi, Anand; Engwer, Christian; Wolters, Carsten H.; Mosher, John C.; Leahy, Richard M. (2023) In: NeuroImage, 267, 119851. doi:10.1016/j.neuroimage.2022.119851 Research article (journal) \| Peer reviewed \| Published
An optimally stable approximation of reactive transport using discrete test and infinite trial spaces Renelt, Lukas; Ohlberger, Mario; Engwer, Christian (2023) In: Franck, Emmanuel; Fuhrmann, Jürgen;, Michel-Dansac, Victor; Navoret, Laurent (eds.), Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems, 289-298. Cham: Springer. doi:10.1007/978-3-031-40860-1_30 Research article in edited proceedings (conference) \| Peer reviewed \| Published

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Projects

BlockXT – Block methods to transparently accelerate and vectorise time dependent simulations Duration: 01/01/2024 - 31/12/2026 \| 1st Funding period Funded by: DFG - Individual Grants Programme Type of project: Individual project
Stabilized higher order DG schemes for hyperbolic conservation laws on cut cell meshes (HyperCut II) Duration: 01/10/2022 - 30/09/2023 \| 2nd Funding period Funded by: DFG - Individual Grants Programme Type of project: Individual project
Interdisziplinäres Lehrprogramm zu maschinellem Lernen und künstlicher Intelligenz (InterKI) Duration: 01/12/2021 - 30/11/2025 Funded by: Federal Ministry of Research, Technology and Space Type of project: Participation in federally funded joint project
Personalised diagnosis and treatment for refractory focal paediatric and adult epilepsy (PerEpi) Duration: 01/07/2021 - 30/06/2024 Funded by: EC H2020 - ERA-NET Cofund Type of project: EU-project hosted at University of Münster
HyperCut – Stabilized DG schemes for hyperbolic conservation laws on cut cell meshes Duration: 01/04/2020 - 30/09/2023 \| 1st Funding period Funded by: DFG - Individual Grants Programme Type of project: Individual project

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Prizes

Award for the best poster presentation
Awarded by: BACI2015, International Conference on Basic and Clinical Multimodal Imaging, Utrecht, The Netherlands, Sept. 1-5, 2015; http://www.baci-conference.com/
Award given to: Nüßing A., Wolters CH, Brinck H; Engwer C
Date of awarding: 15/09/2015
Type of distinction: Best publication award

Doctorates

Numerical methods for Friedrichs’ systems: Approximation theory, localized training and inherently stable model order reduction Candidate: Renelt, Lukas \| Supervisors: Ohlberger, Mario; Engwer, Christian \| Reviewers: Ohlberger, Mario; Engwer, Christian; Vohralík; Martin Period of time: 01/02/2021 - 10/01/2025 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
A Multi-Stage Model Order Reduction Framework for Efficient Simulations of Parametrized Lithium-Ion Battery Cells Candidate: Zumbülte, Marie-Christin (geb. Tacke) \| Supervisors: Ohlberger, Mario \| Reviewers: Ohlberger, Mario; Engwer, Christian Period of time: 01/04/2018 - 08/12/2022 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
Data-aware methods for the simulation of glioblastoma multiforme Candidate: Wenske, Michael \| Supervisors: Engwer, Christian; Wolters, Carsten H. Period of time: until 28/05/2021 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
An unfitted discontinuous Galerkin scheme for a phase-field approximation of pressurized fractures Candidate: Sommer, Liesel \| Supervisors: Engwer, Christian Period of time: until 26/11/2019 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
Towards Automatic and Reliable Localized Model Order Reduction. Local Training, a Posteriori Error Estimation and Online Enrichment. Candidate: Buhr, Andreas \| Supervisors: Ohlberger, Mario; Engwer, Christian Period of time: until 11/07/2019 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster

Show all doctorates

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems Engwer, Christian; Ohlberger, Mario; Rebelt, Lukas (2025) In: arXiv:2507.00678. Research article in digital collection \| Preprint \| submitted / under review
Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems Engwer, Christian; Ohlberger, Mario; Renelt, Lukas (2024) In: SIAM Journal on Scientific Computing, 46(5), A3205-A3229. doi:10.1137/23M1613402 Research article (journal) \| Peer reviewed \| Published
Construction of local reduced spaces for Friedrichs' systems via randomized training Engwer,Christian; Ohlberger, Mario; Renelt, Lukas (2024) In: Central-European Conference on Scientific Computing, ALGORITMY, Podbanské, Slovakia. Proceedings of the Conference Algoritmy 2024. Research article in digital collection (conference) \| Peer reviewed \| Published
Brainstorm-DUNEuro: An integrated and user-friendly Finite Element Method for modeling electromagnetic brain activity Medani, Takfarinas; Garcia-Prieto, Juan; Tadel, Francois; Antonakakis, Marios; Erdbrügger, Tim; Höltershinken, Malte; Mead, Wayne; Schrader, Sophie; Joshi, Anand; Engwer, Christian; Wolters, Carsten H.; Mosher, John C.; Leahy, Richard M. (2023) In: NeuroImage, 267, 119851. doi:10.1016/j.neuroimage.2022.119851 Research article (journal) \| Peer reviewed \| Published
An optimally stable approximation of reactive transport using discrete test and infinite trial spaces Renelt, Lukas; Ohlberger, Mario; Engwer, Christian (2023) In: Franck, Emmanuel; Fuhrmann, Jürgen;, Michel-Dansac, Victor; Navoret, Laurent (eds.), Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems, 289-298. Cham: Springer. doi:10.1007/978-3-031-40860-1_30 Research article in edited proceedings (conference) \| Peer reviewed \| Published

BlockXT – Block methods to transparently accelerate and vectorise time dependent simulations Duration: 01/01/2024 - 31/12/2026 \| 1st Funding period Funded by: DFG - Individual Grants Programme Type of project: Individual project
Stabilized higher order DG schemes for hyperbolic conservation laws on cut cell meshes (HyperCut II) Duration: 01/10/2022 - 30/09/2023 \| 2nd Funding period Funded by: DFG - Individual Grants Programme Type of project: Individual project
Interdisziplinäres Lehrprogramm zu maschinellem Lernen und künstlicher Intelligenz (InterKI) Duration: 01/12/2021 - 30/11/2025 Funded by: Federal Ministry of Research, Technology and Space Type of project: Participation in federally funded joint project
Personalised diagnosis and treatment for refractory focal paediatric and adult epilepsy (PerEpi) Duration: 01/07/2021 - 30/06/2024 Funded by: EC H2020 - ERA-NET Cofund Type of project: EU-project hosted at University of Münster
HyperCut – Stabilized DG schemes for hyperbolic conservation laws on cut cell meshes Duration: 01/04/2020 - 30/09/2023 \| 1st Funding period Funded by: DFG - Individual Grants Programme Type of project: Individual project

Numerical methods for Friedrichs’ systems: Approximation theory, localized training and inherently stable model order reduction Candidate: Renelt, Lukas \| Supervisors: Ohlberger, Mario; Engwer, Christian \| Reviewers: Ohlberger, Mario; Engwer, Christian; Vohralík; Martin Period of time: 01/02/2021 - 10/01/2025 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
A Multi-Stage Model Order Reduction Framework for Efficient Simulations of Parametrized Lithium-Ion Battery Cells Candidate: Zumbülte, Marie-Christin (geb. Tacke) \| Supervisors: Ohlberger, Mario \| Reviewers: Ohlberger, Mario; Engwer, Christian Period of time: 01/04/2018 - 08/12/2022 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
Data-aware methods for the simulation of glioblastoma multiforme Candidate: Wenske, Michael \| Supervisors: Engwer, Christian; Wolters, Carsten H. Period of time: until 28/05/2021 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
An unfitted discontinuous Galerkin scheme for a phase-field approximation of pressurized fractures Candidate: Sommer, Liesel \| Supervisors: Engwer, Christian Period of time: until 26/11/2019 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
Towards Automatic and Reliable Localized Model Order Reduction. Local Training, a Posteriori Error Estimation and Online Enrichment. Candidate: Buhr, Andreas \| Supervisors: Ohlberger, Mario; Engwer, Christian Period of time: until 11/07/2019 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster