Mixed finite element methods for elliptic obstacle problems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916286266605568 |
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| author | Führer, Thomas Fuica, Francisco |
| author_facet | Führer, Thomas Fuica, Francisco |
| contents | Mixed variational formulations for the first-order system of the elastic membrane obstacle problem and the second-order system of the Kirchhoff--Love plate obstacle problem are proposed. The force exerted by the rigid obstacle is included as a new unknown. A priori and a posteriori error estimates are derived for both obstacle problems. The a posteriori error estimates are based on conforming postprocessed solutions. Numerical experiments conclude this work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09605 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mixed finite element methods for elliptic obstacle problems Führer, Thomas Fuica, Francisco Numerical Analysis 49J40, 65N15, 65N30 Mixed variational formulations for the first-order system of the elastic membrane obstacle problem and the second-order system of the Kirchhoff--Love plate obstacle problem are proposed. The force exerted by the rigid obstacle is included as a new unknown. A priori and a posteriori error estimates are derived for both obstacle problems. The a posteriori error estimates are based on conforming postprocessed solutions. Numerical experiments conclude this work. |
| title | Mixed finite element methods for elliptic obstacle problems |
| topic | Numerical Analysis 49J40, 65N15, 65N30 |
| url | https://arxiv.org/abs/2406.09605 |