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.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2403.07934 |