Stability of the Ritz projection in weighted $W^1,1$
<|reference_start|>Stability of the Ritz projection in weighted $W^1,1$: We prove the stability in weighted $W^{1,1}$ spaces for standard finite element approximations of the Poisson equation in convex polygonal or polyhedral domains, when the weight belongs to Muckenhoupt's class $A_1$ and the family of meshes is quasi-uniform.<|reference_end|>
@article{drelichman2024stability,
    title={Stability of the Ritz projection in weighted $W^{1,1}$},
    author={Irene Drelichman and Ricardo G. Duran},
    journal={arXiv preprint arXiv:2403.07934},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.07934},
    primaryClass={math.NA cs.NA}
}