FEM amd BEM computing costs for acoustical problems

FEM and BEM computing costs are compared for acoustical problems. The cost analysis was carried out for bounded areas of simple shapes for objects with acoustical losses (e.g. with sound absorbing materials). BEM's variational-collocative scheme (DBEM) and its variational scheme (IBEM) were con...

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Bibliographic Details
Main Authors: R. BOLEJKO, A. DOBRUCKI
Format: Article
Language:English
Published: Institute of Fundamental Technological Research Polish Academy of Sciences 2014-03-01
Series:Archives of Acoustics
Subjects:
Online Access:https://acoustics.ippt.pan.pl/index.php/aa/article/view/668
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Summary:FEM and BEM computing costs are compared for acoustical problems. The cost analysis was carried out for bounded areas of simple shapes for objects with acoustical losses (e.g. with sound absorbing materials). BEM's variational-collocative scheme (DBEM) and its variational scheme (IBEM) were considered. Computing costs were calculated, taking into account main matrix composition costs and main system of equations solution costs. The costs were calculated for the type of adopted discrete elements and the order of quadrature used. Analytical relations for calculating main matrix composition costs for BEM have been derived. The analysis shows that FEM computing costs can be lower than BEM computing costs. Moreover, BEM computing costs are strongly dependent on the order of the quadrature used. The presented results provide a basis for the choice of the most cost-effective method depending on the size of an acoustical problem.
ISSN:0137-5075
2300-262X