Naslov
On the Various Applications of Stochastic Collocation in Computational Electromagnetics

Autori
Poljak, Dragan ; Šesnić, Silvestar ; Cvetković, Mario ; Šušnjara, Anna ; Bonnet, Pierre ; El Khamlichi Drissi, Khalil ; Lallechere, Sebastien ; Paladian, Francoise

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Uncertainty Modeling for Engineering Applications

Urednik/ci
Canavero, Flavio

Izdavač
Springer

Grad
Cham

Godina
2019

Raspon stranica
135-155

ISBN
978-3-030-04869-3

ISSN
2509-6796

Ključne riječi
bioelectromagnetism ; computational electromagnetics ; deterministic modeling ; engineering applications ; sensitivity analysis ; stochastic collocation ; uncertainty quantification

Sažetak
The application of deterministic-stochastic models in some areas of computa-tional electromagnetics is presented. Namely, in certain problems there is an un-certainty in the input data set as some system properties are partly or entirely un-known. Thus, a simple stochastic collocation (SC) method is used to determine the relevant statistics about the given responses. The SC approach also provides the assessment of the related confidence intervals in the set of calculated numeri-cal results. The expansion of statistical output in terms of mean and variance over a polynomial basis, via SC method, is shown to be robust and efficient ap-proach providing a satisfactory convergence rate. The presented stochastic framework provides means for sensitivity analysis enabling a better insight into the relationship between the input parameters and the output of interest. This chapter provides certain computational examples from the previous work by the authors illustrating successful application of SC technique in the areas of: human exposure to electromagnetic fields, transcranial magnetic simulation (TMS), tran-sient analysis of buried wires and design of instrumental landing system (ILS).

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika

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