Finite element discretization of weighted $Φ$-Laplace problems
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913989767725056 |
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| author | Otarola, Enrique Salgado, Abner J. |
| author_facet | Otarola, Enrique Salgado, Abner J. |
| contents | We study the finite element approximation of problems involving the weighted $Φ$-Laplacian, where $Φ$ is an $N$-function and the weight belongs to the class $A_Φ$. In particular, we consider a boundary value problem and an obstacle problem and derive error estimates in both cases. The analysis is based on the language of weighted Orlicz and weighted Orlicz--Sobolev spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10327 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite element discretization of weighted $Φ$-Laplace problems Otarola, Enrique Salgado, Abner J. Numerical Analysis We study the finite element approximation of problems involving the weighted $Φ$-Laplacian, where $Φ$ is an $N$-function and the weight belongs to the class $A_Φ$. In particular, we consider a boundary value problem and an obstacle problem and derive error estimates in both cases. The analysis is based on the language of weighted Orlicz and weighted Orlicz--Sobolev spaces. |
| title | Finite element discretization of weighted $Φ$-Laplace problems |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2412.10327 |