On the Sobolev and $L^p$-Stability of the $L^2$-Projection

DOI10.1137/20M1358013zbMath1477.65207arXiv2008.01801OpenAlexW3202771958MaRDI QIDQ5157409

Lars Diening, Johannes Storn, T. Tscherpel

Publication date: 18 October 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01801

zbMATH Keywords

\(L^2\)-projectionLagrange finite element spaces

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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