Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H (div)

DOI10.1093/imanum/draa103OpenAlexW3127958164MaRDI QIDQ5075140

Martin Vohralík, Thirupathi Gudi, Iain Smears, Alexandre Ern

Publication date: 10 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08158

zbMATH Keywords

least-squares method best approximation mixed finite element method localization optimal error bound minimal regularity \textit{a priori} error estimate piecewise polynomial \(\boldsymbol{H}(\operatorname{div})\) Sobolev space commuting projector Raviart-Thomas-Nédélec space

Mathematics Subject Classification ID

Numerical analysis (65-XX)

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