Computable majorants of constants in the Poincaré and Friedrichs inequalities

DOI10.1007/s10958-012-0987-9zbMath1278.35167OpenAlexW1998397647MaRDI QIDQ1947432

Sergey I. Repin

Publication date: 22 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0987-9

zbMATH Keywords

eigenvaluesLaplace operatorexplicit boundsPoincaré constantFriedrich constant

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15)

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Cites Work

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• An optimal Poincaré inequality for convex domains
• A posteriori estimates for partial differential equations
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• Lower Bounds for Eigenvalues of Elliptic Operators by Overlapping Domain Decomposition
• Eigenvalues of the Laplacian in Two Dimensions
• Bounding Eigenvalues of Elliptic Operators
• A posteriori error estimation for variational problems with uniformly convex functionals

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