Stability of the Ritz projection in weighted $W^{1,1}$
Numerical Analysis
2024-03-14 v1 Numerical Analysis
Abstract
We prove the stability in weighted spaces for standard finite element approximations of the Poisson equation in convex polygonal or polyhedral domains, when the weight belongs to Muckenhoupt's class and the family of meshes is quasi-uniform.
Keywords
Cite
@article{arxiv.2403.07934,
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}
}