On Poincaré-Friedrichs Type Inequalities for the Broken Sobolev Space ${\rm W}^{2,1}$

DOI10.4208/NMTMA.OA-2020-0065zbMath1488.65618OpenAlexW3109599227MaRDI QIDQ5153430

Ronald H. W. Hoppe

Publication date: 29 September 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2020-0065

zbMATH Keywords

image processingdiscontinuous Galerkin approximationbroken Sobolev spacesPoincaré-Friedrichs inequalities

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) 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) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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