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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2208.09616 |
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| _version_ | 1866929231223586816 |
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| author | Gantner, Gregor Stevenson, Rob |
| author_facet | Gantner, Gregor Stevenson, Rob |
| contents | In this work, we show that the space-time first-order system least-squares (FOSLS) formulation [Führer, Karkulik, Comput. Math. Appl. 92 (2021)] for the heat equation and its recent generalization [Gantner, Stevenson, ESAIM Math. Model. Numer. Anal. 55 (2021)] to arbitrary second-order parabolic PDEs can be used to efficiently solve parameter-dependent problems, optimal control problems, and problems on time-dependent spatial domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_09616 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Applications of a space-time FOSLS formulation for parabolic PDEs Gantner, Gregor Stevenson, Rob Numerical Analysis In this work, we show that the space-time first-order system least-squares (FOSLS) formulation [Führer, Karkulik, Comput. Math. Appl. 92 (2021)] for the heat equation and its recent generalization [Gantner, Stevenson, ESAIM Math. Model. Numer. Anal. 55 (2021)] to arbitrary second-order parabolic PDEs can be used to efficiently solve parameter-dependent problems, optimal control problems, and problems on time-dependent spatial domains. |
| title | Applications of a space-time FOSLS formulation for parabolic PDEs |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2208.09616 |