Campus Units

Electrical and Computer Engineering

Document Type

Article

Publication Version

Published Version

Publication Date

10-12-2020

Journal or Book Title

IEEE Open Journal of Antennas and Propagation

Volume

1

First Page

590

Last Page

597

DOI

10.1109/OJAP.2020.3030091

Abstract

The interpolation errors of the higher order bivariate Lagrange polynomial interpolation based on the rectangular, right and equilateral triangular interpolations are measured by using the maximum and root-mean-square (RMS) errors. The error distributions of above three kinds of interpolations are analyzed to find the regions having the smallest interpolation error. Both analytical and numerical results show that the right triangular interpolation is the most efficient interpolation method. Although both the maximum and RMS errors of the right triangular interpolation are larger than that of the rectangular interpolation, the number of data points used in the triangular interpolation is up to 50% less than that used in the rectangular one. On the other hand, the equilateral triangular interpolation using the regions inside a big triangle as interpolation area is proved to be the most accurate interpolation method. The interpolation errors of the equilateral triangular are almost half of that of the rectangular interpolation. In addition, the right triangular, equilateral triangular and rectangular interpolations for the third and fourth orders are applied to accelerate the calculation of doubly periodic Green’s function (PGF).

Comments

This article is published as Luo, Wen, Jinbo Liu, Zengrui Li, and Jiming Song. "Error Analysis of Higher Order Bivariate Lagrange and Triangular Interpolations in Electromagnetics." IEEE Open Journal of Antennas and Propagation 1 (2020): 590-597. DOI: 10.1109/OJAP.2020.3030091. Posted with permission.

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

Copyright Owner

The Author(s)

Language

en

File Format

application/pdf

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