On a robust inf-sup condition for the Stokes problem in slender domains -- with application to preconditioning
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914118915588096 |
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| author | Sande, Espen Koch, Timo Kuchta, Miroslav Mardal, Kent-Andre |
| author_facet | Sande, Espen Koch, Timo Kuchta, Miroslav Mardal, Kent-Andre |
| contents | We identify a norm on the pressure variable in the Stokes equation that allows us to prove a continuous inf-sup condition with a constant independent of the domain's aspect ratio. This is in contrast to the standard inf-sup constant, which breaks down as the aspect ratio increases. We further apply our result to construct robust operator preconditioners for the Stokes problem in slender domains. Several numerical examples illustrate the theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a robust inf-sup condition for the Stokes problem in slender domains -- with application to preconditioning Sande, Espen Koch, Timo Kuchta, Miroslav Mardal, Kent-Andre Numerical Analysis Analysis of PDEs We identify a norm on the pressure variable in the Stokes equation that allows us to prove a continuous inf-sup condition with a constant independent of the domain's aspect ratio. This is in contrast to the standard inf-sup constant, which breaks down as the aspect ratio increases. We further apply our result to construct robust operator preconditioners for the Stokes problem in slender domains. Several numerical examples illustrate the theory. |
| title | On a robust inf-sup condition for the Stokes problem in slender domains -- with application to preconditioning |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2510.24590 |