On an optimal AFEM for elastoplasticity
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917633508507648 |
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| author | Schönauer, Miriam Schröder, Andreas |
| author_facet | Schönauer, Miriam Schröder, Andreas |
| contents | In this paper, optimal convergence for an adaptive finite element algorithm for elastoplasticity is considered. To this end, the proposed adaptive algorithm is established within the abstract framework of the axioms of adaptivity [Comput. Math. Appl., 67(6) (2014), 1195-1253], which provides a specific proceeding to prove the optimal convergence of the scheme. The proceeding is based on verifying four axioms, which ensure the optimal convergence. The verification is done by using results from [Numer. Math., 132(1) (2016), 131-154], which presents an alternative approach to optimality without explicitly relying on the axioms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05395 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On an optimal AFEM for elastoplasticity Schönauer, Miriam Schröder, Andreas Numerical Analysis 65N30 In this paper, optimal convergence for an adaptive finite element algorithm for elastoplasticity is considered. To this end, the proposed adaptive algorithm is established within the abstract framework of the axioms of adaptivity [Comput. Math. Appl., 67(6) (2014), 1195-1253], which provides a specific proceeding to prove the optimal convergence of the scheme. The proceeding is based on verifying four axioms, which ensure the optimal convergence. The verification is done by using results from [Numer. Math., 132(1) (2016), 131-154], which presents an alternative approach to optimality without explicitly relying on the axioms. |
| title | On an optimal AFEM for elastoplasticity |
| topic | Numerical Analysis 65N30 |
| url | https://arxiv.org/abs/2404.05395 |