Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions

DOI10.1016/j.amc.2011.04.015zbMath1222.41004OpenAlexW2012991693MaRDI QIDQ548008

Yanjun Zheng, Shipeng Mao, Shao-Chun Chen

Publication date: 27 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.015

zbMATH Keywords

Lagrange interpolationinterpolation errorNewton's interpolation formula

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (3)

The simplest conforming anisotropic rectangular and cubic mixed finite elements for elasticity ⋮ Error estimation of anisotropic interpolation for serendipity elements of arbitrary degree ⋮ Anisotropic interpolation error estimates via orthogonal expansions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Anisotropic interpolations with application to nonconforming elements
• Anisotropic interpolation with applications to the finite element method
• Optimal anisotropic meshes for minimizing interpolation errors in $L^p$-norm
• On the Maximum Angle Condition for Linear Tetrahedral Elements
• On the Angle Condition in the Finite Element Method
• Error estimates for 3-d narrow finite elements
• The Maximum Angle Condition for Mixed and Nonconforming Elements: Application to the Stokes Equations
• Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes
• Lagrange and average interpolation over 3D anisotropic elements
• New anisotropic a priori estimates

This page was built for publication: Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions