Finite element approximation of the Sobolev constant

DOI10.1007/s00211-010-0347-yzbMath1208.65162OpenAlexW2015491166MaRDI QIDQ621313

Aldo Pratelli, Paola Francesca Antonietti

Publication date: 2 February 2011

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-010-0347-y

zbMATH Keywords

Sobolev spacefinite elementSobolev inequalityadaptive refinement strategySobolev constantbest possible constantdiscrete Sobolev constant

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

Absolute continuity of the best Sobolev constant

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