Vol.25, No.3, 2025, pp. 367–372
https://doi.org/10.69644/ivk-2025-03-0367  

IMPLEMENTATION OF LAGRANGE INTERPOLATION FOR OPTIMISATION OF COMPUTATIONAL RESOURCE USED IN AE TOMOGRAPHY

Katsuya Nakamura* , Mikika Furukawa, Kenichi Oda, Satoshi Shigemura, Yoshikazu Kobayashi

Department of Civil Engineering, College of Science and Technology, Nihon University, Tokyo, JAPAN

*email: nakamura.katsuya@nihon-u.ac.jp , K. Nakamura https://orcid.org/0009-0003-5213-9901

 

Abstract

Lagrange interpolation is applied to the source localisation to optimise the computational resources used in AET. Further, the potential of the optimisation is validated by numerical tests in which the original distribution is assumed to represent a damaged concrete plate. In the results of numerical tests, the percentage velocity error between the identified distributions and the original distribution is 2.59 % obtained by the implementation of Lagrange interpolation. This error is lower than the 8.81 % error of the conventional method. Thus, it is noted that the implementation of the interpolation contributes to the accurate identification in comparison with the conventional method. Moreover, if the result of the conventional AET is approximated as original distributions, the larger number of the candidates used in the localisation would be required. Therefore, it is confirmed that AET can be conducted with the optimisation of computational resources if the Lagrange interpolation is implemented.

Keywords: • acoustic emission tomography (AET) • elastic wave velocity • Lagrange interpolation • computational resource • non-destructive testing

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