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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2012.12919 |
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| _version_ | 1866929433476071424 |
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| author | Bernkopf, Maximilian Melenk, Jens Markus |
| author_facet | Bernkopf, Maximilian Melenk, Jens Markus |
| contents | We analyze a divergence based first order system least squares method applied to a second order elliptic model problem with homogeneous boundary conditions. We prove optimal convergence in the $L^2(Ω)$ norm for the scalar variable. Numerical results confirm our findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_12919 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Optimal convergence rates in $L^2$ for a first order system least squares finite element method. Part I: homogeneous boundary conditions Bernkopf, Maximilian Melenk, Jens Markus Numerical Analysis We analyze a divergence based first order system least squares method applied to a second order elliptic model problem with homogeneous boundary conditions. We prove optimal convergence in the $L^2(Ω)$ norm for the scalar variable. Numerical results confirm our findings. |
| title | Optimal convergence rates in $L^2$ for a first order system least squares finite element method. Part I: homogeneous boundary conditions |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2012.12919 |