Space-time FEM-BEM couplings for parabolic transmission problems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916935079297024 |
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| author | Führer, Thomas Gantner, Gregor Karkulik, Michael |
| author_facet | Führer, Thomas Gantner, Gregor Karkulik, Michael |
| contents | We develop couplings of a recent space-time first-order system least-squares (FOSLS) method for parabolic problems and space-time boundary element methods (BEM) for the heat equation to numerically solve a parabolic transmission problem on the full space and a finite time interval. In particular, we demonstrate coercivity of the couplings under certain restrictions and validate our theoretical findings by numerical experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14449 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Space-time FEM-BEM couplings for parabolic transmission problems Führer, Thomas Gantner, Gregor Karkulik, Michael Numerical Analysis 35K20, 65M12, 65M60, 65N38 We develop couplings of a recent space-time first-order system least-squares (FOSLS) method for parabolic problems and space-time boundary element methods (BEM) for the heat equation to numerically solve a parabolic transmission problem on the full space and a finite time interval. In particular, we demonstrate coercivity of the couplings under certain restrictions and validate our theoretical findings by numerical experiments. |
| title | Space-time FEM-BEM couplings for parabolic transmission problems |
| topic | Numerical Analysis 35K20, 65M12, 65M60, 65N38 |
| url | https://arxiv.org/abs/2409.14449 |