Interpolation error analysis using a new geometric parameter

2025/04/22 by Hiroki Ishizaka, Ishizaka, Hiroki
Engineering · #Advanced Measurement and Metrology Techniques #Advanced Surface Polishing Techniques #Laser and Thermal Forming Techniques

paper · pdf · doi:10.48550/arxiv.2504.16012

Abstract

This article presents novel proof methods for estimating interpolation errors, predicated on the understanding that one has already studied foundational error analysis using the finite element method.

Related

• General theory of interpolation error estimates on anisotropic meshes
• Remarkable upper bounds for interpolation error constants on triangles
• Improved P₁-interpolation error estimates in W^1,p(]0,1[): Application to finite element method
• Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons
• Average Interpolation Under the Maximum Angle Condition