Convergence analysis for a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Navier-Stokes equations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914692445765632 |
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| author | Berselli, Luigi C. Kaltenbach, Alex |
| author_facet | Berselli, Luigi C. Kaltenbach, Alex |
| contents | In the present paper, we establish the well-posedness, stability, and (weak) convergence of a fully-discrete approximation of the unsteady $p(\cdot,\cdot)$-Navier-Stokes equations employing an implicit Euler step in time and a discretely inf-sup-stable finite element approximation in space. Moreover, numerical experiments are carried out that supplement the theoretical findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16606 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Convergence analysis for a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Navier-Stokes equations Berselli, Luigi C. Kaltenbach, Alex Numerical Analysis 35Q35, 65M12, 65N30, 76A05 In the present paper, we establish the well-posedness, stability, and (weak) convergence of a fully-discrete approximation of the unsteady $p(\cdot,\cdot)$-Navier-Stokes equations employing an implicit Euler step in time and a discretely inf-sup-stable finite element approximation in space. Moreover, numerical experiments are carried out that supplement the theoretical findings. |
| title | Convergence analysis for a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Navier-Stokes equations |
| topic | Numerical Analysis 35Q35, 65M12, 65N30, 76A05 |
| url | https://arxiv.org/abs/2402.16606 |