Stability of the Ritz projection in weighted $W^{1,1}$

Autor: Drelichman, Irene, Duran, Ricardo G.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv