Pressure robust finite element discretizations of the nonlinear Stokes equations
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913666926903296 |
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| author | Diening, Lars Hirn, Adrian Kreuzer, Christian Zanotti, Pietro |
| author_facet | Diening, Lars Hirn, Adrian Kreuzer, Christian Zanotti, Pietro |
| contents | We present first-order nonconforming Crouzeix-Raviart discretizations for the nonlinear generalized Stokes equations with $(r,ε)$-structure. Thereby the velocity-errors are independent of the pressure-error; i.e., the method is pressure robust. This improves suboptimal rates previously experienced for non pressure robust methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15954 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pressure robust finite element discretizations of the nonlinear Stokes equations Diening, Lars Hirn, Adrian Kreuzer, Christian Zanotti, Pietro Numerical Analysis 65N30, 65N12, 65N15, 76A05, 76M10, 35J62, 35J92 We present first-order nonconforming Crouzeix-Raviart discretizations for the nonlinear generalized Stokes equations with $(r,ε)$-structure. Thereby the velocity-errors are independent of the pressure-error; i.e., the method is pressure robust. This improves suboptimal rates previously experienced for non pressure robust methods. |
| title | Pressure robust finite element discretizations of the nonlinear Stokes equations |
| topic | Numerical Analysis 65N30, 65N12, 65N15, 76A05, 76M10, 35J62, 35J92 |
| url | https://arxiv.org/abs/2501.15954 |