A quasi-optimal space-time FEM with local mesh refinements for parabolic problems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912238287192064 |
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| author | Diening, Lars Stevenson, Rob Storn, Johannes |
| author_facet | Diening, Lars Stevenson, Rob Storn, Johannes |
| contents | We present a space-time finite element method for the heat equation that computes quasi-optimal approximations with respect to natural norms while incorporating local mesh refinements in space-time. The discretized problem is solved with a conjugate gradient method with a (nearly) optimal preconditioner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13655 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A quasi-optimal space-time FEM with local mesh refinements for parabolic problems Diening, Lars Stevenson, Rob Storn, Johannes Numerical Analysis 65D05, 65F08, 65M12, 65M15, 65M50, 65M60 We present a space-time finite element method for the heat equation that computes quasi-optimal approximations with respect to natural norms while incorporating local mesh refinements in space-time. The discretized problem is solved with a conjugate gradient method with a (nearly) optimal preconditioner. |
| title | A quasi-optimal space-time FEM with local mesh refinements for parabolic problems |
| topic | Numerical Analysis 65D05, 65F08, 65M12, 65M15, 65M50, 65M60 |
| url | https://arxiv.org/abs/2502.13655 |