Optimal bounds for a Lagrange interpolation inequality for piecewise linear continuous finite elements in two space dimensions

DOI10.1016/j.jmaa.2014.10.027zbMath1302.41004OpenAlexW2002146904MaRDI QIDQ472305

Murtazo Nazarov, Èrgash Muhamadiev

Publication date: 19 November 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.027

zbMATH Keywords

convergencefinite elementsinequalityscalar conservation lawsLagrange interpolation estimates

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05)

Cites Work

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• On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws
• Convergence of a Shock-Capturing Streamline Diffusion Finite Element Method for a Scalar Conservation Law in Two Space Dimensions

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