Quasi-optimality of the Crouzeix-Raviart FEM for p-Laplace-type problems
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917379272867840 |
|---|---|
| author | Storn, Johannes |
| author_facet | Storn, Johannes |
| contents | We verify quasi-optimality of the Crouzeix-Raviart FEM for nonlinear problems of $p$-Laplace type. More precisely, we show that the error of the Crouzeix-Raviart FEM with respect to a quasi-norm is bounded from above by a uniformly bounded constant times the best-approximation error plus a data oscillation term. As a byproduct, we verify a novel more localized a priori error estimate for the conforming lowest-order Lagrange FEM. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12742 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-optimality of the Crouzeix-Raviart FEM for p-Laplace-type problems Storn, Johannes Numerical Analysis 35J62, 65N12, 65N15, 65N30 We verify quasi-optimality of the Crouzeix-Raviart FEM for nonlinear problems of $p$-Laplace type. More precisely, we show that the error of the Crouzeix-Raviart FEM with respect to a quasi-norm is bounded from above by a uniformly bounded constant times the best-approximation error plus a data oscillation term. As a byproduct, we verify a novel more localized a priori error estimate for the conforming lowest-order Lagrange FEM. |
| title | Quasi-optimality of the Crouzeix-Raviart FEM for p-Laplace-type problems |
| topic | Numerical Analysis 35J62, 65N12, 65N15, 65N30 |
| url | https://arxiv.org/abs/2507.12742 |