Manuel Pena

Departamento de Matemática Aplicada a la Ingeniería Aeroespacial

Universidad Politécnica de Madrid

E.T.S. Ingeniería Aeronáutica y del Espacio, 28040 Madrid, España

Hola!

selected publications

Exploring the performance of the topological energy method for object and damage detection from noisy and poor databases

Manuel Pena , Sergio Muñoz , and María-Luisa Rapún

Phil. Trans. R. Soc. A., Jul 2024
Multifrequency Linear Sampling Method on Experimental Datasets

Peter Monk , Manuel Pena , and Virginia Selgas

IEEE Transactions on Antennas and Propagation, Nov 2023
Processing the 2D and 3D Fresnel experimental databases via topological derivative methods

A Carpio , M Pena , and M L Rapún

Inverse Problems, Oct 2021
Application of the topological derivative to post-processing infrared time-harmonic thermograms for defect detection

Manuel Pena , and María-Luisa Rapún

Journal of Mathematics in Industry, Dec 2020

Abs

Abstract This paper deals with active time-harmonic infrared thermography applied to the detection of defects inside thin plates. We propose a method to post-process raw thermograms based on the computation of topological derivatives which will produce much sharper images (namely, where contrast is highly enhanced) than the original thermograms. The reconstruction algorithm does not need information about the number of defects, nor the size or position. A collection of numerical experiments illustrates that the algorithm is highly robust against measurement errors in the thermograms, giving a good approximation of the shape, position and number of defects without the need of an iterative process.