Numerical methods for Friedrichs’ systems: Approximation theory, localized training and inherently stable model order reduction

Basic data of the doctoral examination procedure

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

Period of time: 01/02/2021 - 10/01/2025

Status: completed

Candidate: Renelt, Lukas

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; Engwer, Christian

Reviewers: Ohlberger, Mario; Engwer, Christian; Vohralík; Martin

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

Engwer, Christian	Professorship for Applications of Partial Differential Equations
Ohlberger, Mario	Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)

Engwer, Christian	Professorship for Applications of Partial Differential Equations
Ohlberger, Mario	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

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) Type of Publication: Research article (journal)
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 Type of Publication: Research article in digital collection (conference)
Two-stage model reduction approaches for the efficient and certified solution of parametrized optimal control problems Kleikamp, Hendrik; Renelt, Lukas (2024) In: arXiv:2408.15900. Type of Publication: Research article in digital collection
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. Cham: Springer. Type of Publication: Research article in edited proceedings (conference)