An optimally stable approximation of reactive transport using discrete test and infinite trial spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929402762231808 |
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| author | Renelt, Lukas Engwer, Christian Ohlberger, Mario |
| author_facet | Renelt, Lukas Engwer, Christian Ohlberger, Mario |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_15943 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An optimally stable approximation of reactive transport using discrete test and infinite trial spaces Renelt, Lukas Engwer, Christian Ohlberger, Mario Numerical Analysis 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. |
| title | An optimally stable approximation of reactive transport using discrete test and infinite trial spaces |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2303.15943 |