Stable broken $H^1$ and $H(\mathrm {div})$ polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions

DOI10.1090/mcom/3482zbMath1434.65253arXiv1701.02161OpenAlexW2963610501MaRDI QIDQ5207433

Martin Vohralík, Alexandre Ern

Publication date: 27 December 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02161

zbMATH Keywords

robustnessbest approximationa posteriori error estimateflux reconstructionpotential reconstructionpolynomial degreepatch of elementsbroken Sobolev spacepolynomial extension operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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