Approximation of the gradient of a function on the basis of a special class of triangulations

DOI10.1070/IM8691zbMath1469.65065OpenAlexW2768638218MaRDI QIDQ4613519

Vladimir Aleksandrovich Klyachin

Publication date: 1 February 2019

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8691

zbMATH Keywords

Delaunay triangulationpiecewise linear approximationfamilies of convex setsempty sphere condition

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical differentiation (65D25)

Cites Work

• Minimization of gradient errors of piecewise linear interpolation on simplicial meshes
• Dependence of estimates of a multidimensional piecewise polynomial approximation on the geometric characteristics of the triangulation
• The Delaunay triangulation for multidimensional surfaces and its approximative properties
• Approximation of convex sets by polytopes
• Extremal properties for triangulation based on empty convex set condition
• Modified Delaunay empty sphere condition in the problem of approximation of the gradient
• Polyhedral approximation of convex compact bodies by filling methods
• Hessian-free metric-based mesh adaptation via geometry of interpolation error
• On a multidimensional analogue of the Schwarz example
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