Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/113665
Title: An Optimization Strategy to Position CHIEF Points in Boundary-Element Acoustic Problems
Authors: Gonçalves, Kleber de Almeida 
Santurio, Daniela Silva
Soares, Delfim
Costa, Pedro Alves
Godinho, Luís 
Keywords: boundary elements; CHIEF points; smallest singular value; exterior acoustics
Issue Date: 2023
Publisher: MDPI
Project: UIDB/04029/2020 
UIDP/04029/2020 
UIDB/04708/2020 
UIDP/04708/2020 
POCI-01-0247-FEDER- 033990 
POCI-01-0247-FEDER-046111 
PTDC/ECI-EGC/3352/2021 
Serial title, monograph or event: Applied Sciences (Switzerland)
Volume: 13
Issue: 6
Abstract: The use of boundary elements in the analysis of exterior acoustic problems poses challenges at specific frequencies, since fictitious eigenfrequencies may arise at the internal resonances of cavities, leading to inaccurate results or even unstable behavior. To filter out these fictitious eigenfrequencies, a scheme based on the combined Helmholtz integral equation formulation (CHIEF) can be used to prevent the so-called non-uniqueness problem, although it requires additional equations and points. The BEM formulation final accuracy will, however, depend on the correct choice of these points. Here, a strategy to help in defining good approximations for the position and number of such points is proposed, based on an optimization process which maximizes the system matrix’s smallest singular value. The accuracy of the method for exterior radiation problems is investigated using different examples. With low computational cost and simple implementation, the two proposed algorithms automatically circumvent the non-uniqueness problem, aiding the implementation of more stable BEM codes.
URI: https://hdl.handle.net/10316/113665
ISSN: 2076-3417
DOI: 10.3390/app13064001
Rights: openAccess
Appears in Collections:I&D ISISE - Artigos em Revistas Internacionais
FCTUC Eng.Civil - Artigos em Revistas Internacionais

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