Minimal-norm RKHS solution of an integral model in geo-electromagnetism

Diaz De Alba P.;Fermo L.;Pes F.;Rodriguez G.
2021-01-01

Abstract

In this paper, a numerical method is developed for approximating the solution of a linear integral model in a reproducing kernel Hilbert space (RKHS). The model is typical of frequency domain electromagnetic (FDEM) induction methods in applied geophysics. The original problem is reformulated as a new one whose solution has the same smoothness properties as the original one. Then, the minimal-norm solution of such a model is computed through a numerical method that combines Riesz's theory with regularization tools. Several numerical tests illustrate the performance of the proposed approach.
2021
Inglese
2021 21st International Conference on Computational Science and Its Applications (ICCSA)
978-1-6654-5843-6
Institute of Electrical and Electronics Engineers
STATI UNITI D'AMERICA
21
28
8
WOS:000851400200003
2-s2.0-85124117755
21st International Conference on Computational Science and Its Applications, ICCSA 2021
Su invito
Esperti anonimi
13-16 September 2021
Cagliari, Italy
internazionale
scientifica
Fredholm integral equations of the first kind; Frequency domain electromagnetics; Inverse problems; Minimal-norm solution; Reproducing kernel Hilbert space
Goal 13: Climate action
no
4 Contributo in Atti di Convegno (Proceeding)::4.1 Contributo in Atti di convegno
Diaz De Alba, P.; Fermo, L.; Pes, F.; Rodriguez, G.
273
4
4.1 Contributo in Atti di convegno
reserved
info:eu-repo/semantics/conferencePaper
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