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  Reduced Basis Approach for Convection-Diffusion Equations with Non-linear Boundary Reaction Conditions

Matera, S., Merdon, C., & Runge, D. (2023). Reduced Basis Approach for Convection-Diffusion Equations with Non-linear Boundary Reaction Conditions. In E. Franck, J. Fuhrmann, V. Michel-Dansac, & L. Navoret (Eds.), Finite Volumes for Complex Applications X-Volume 1, Elliptic and Parabolic Problems (pp. 335-343). Cham: Springer. doi:10.1007/978-3-031-40864-9_28.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000E-441B-8 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-441C-7
Genre: Conference Paper

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 Creators:
Matera, Sebastian1, Author                 
Merdon, C., Author
Runge, D., Author
Affiliations:
1Theory, Fritz Haber Institute, Max Planck Society, ou_634547              

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 Abstract: This paper aims at an efficient strategy to solve drift-diffusion problems with non-linear boundary conditions as they appear, e.g., in heterogeneous catalysis. Since the non-linearity only involves the degrees of freedom along (a part of) the boundary, a reduced basis ansatz is suggested that computes discrete Green’s-like functions for the present drift-diffusion operator such that the global non-linear problem reduces to a smaller non-linear problem for a boundary method. The computed basis functions are completely independent of the non-linearities. Thus, they can be reused for problems with the same differential operator and geometry. Corresponding scenarios might be inverse problems in heterogeneous catalysis but also modeling the effect of different catalysts in the same reaction chamber. The strategy is explained for a mass-conservative finite volume method and demonstrated on a simple numerical example for catalytic CO oxidation.

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Language(s): eng - English
 Dates: 2023-10-012023-10-01
 Publication Status: Issued
 Pages: 9
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1007/978-3-031-40864-9_28
 Degree: -

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Title: 10th International Symposium on Finite Volumes for Complex Applications (FVCA10 2023)
Place of Event: Strasbourg, France
Start-/End Date: 2023-10-30 - 2023-11-03

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Title: Finite Volumes for Complex Applications X-Volume 1, Elliptic and Parabolic Problems
Source Genre: Proceedings
 Creator(s):
Franck, Emmanuel, Editor
Fuhrmann, Jürgen, Editor
Michel-Dansac, Victor, Editor
Navoret, Laurent, Editor
Affiliations:
-
Publ. Info: Cham : Springer
Pages: 9 Volume / Issue: 432 Sequence Number: - Start / End Page: 335 - 343 Identifier: ISBN: 978-3-031-40864-9

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Title: Springer Proceedings in Mathematics & Statistics
Source Genre: Series
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Pages: - Volume / Issue: 432 Sequence Number: - Start / End Page: - Identifier: ISSN: 2194-1009