An optimally stable approximation of reactive transport using discrete test and infinite trial spaces
Renelt, Lukas; Ohlberger, Mario; Engwer, Christian
Research article in edited proceedings (conference) | Peer reviewedAbstract
In this contribution we propose an optimally stable ultraweak Petrov-Galerkin variational formulation and subsequent discretization for stationary reactive transport problems. The discretization is exclusively based on the choice of discrete approximate test spaces, while the trial space is a priori infinite dimensional. The solution in the trial space or even only functional evaluations of the solution are obtained in a post-processing step. We detail the theoretical framework and demonstrate its usage in a numerical experiment that is motivated from modeling of catalytic filters.
Details about the publication
Editors: Franck, Emmanuel; Fuhrmann, Jürgen;, Michel-Dansac, Victor; Navoret, Laurent
Book title: Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems (Volume 2)
Page range: 289-298
Publisher: Springer
Place of publication: Cham
Title of series: Springer Proceedings in Mathematics & Statistics (ISSN: 2194-1017)
Status: Published
Release year: 2023 (13/10/2023)
Language in which the publication is written: English
Conference: International Conference on Finite Volumes for Complex Applications, Strasbourg, France
ISBN: 978-3-031-40860-1
Link to the full text: https://link.springer.com/chapter/10.1007/978-3-031-40860-1_30
Keywords: optimal stability; reactive transport; ultraweak formulation
Authors from the University of Münster
| Engwer, Christian | Professorship for Applications of Partial Differential Equations Center for Nonlinear Science |
| Ohlberger, Mario | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) Center for Nonlinear Science Center for Multiscale Theory and Computation (CMTC) |
| Renelt, Lukas | Professorship for Applications of Partial Differential Equations Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) |
Projects the publication originates from
Duration: 01/04/2020 - 31/12/2023 Funded by: Federal Ministry of Research, Technology and Space Type of project: Participation in federally funded joint project | |
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 |
Vorträge zur Publikation
| An optimally stable numerical scheme for reactive transport Renelt, Lukas (31/10/2023) Posterpresentation at Finite Volumes for Complex Applications 10 (FVCA10), Strasbourg Type of talk: scientific talk |
Promotionen, aus denen die Publikation resultiert
| 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 |