Fast algorithms applied to the acoustical energy boundary element method

Publikationstyp
Conference Paper
Date Issued
2019-09
Sprache
English
Author(s)
Ram, Matthias Wolf Christian  orcid-logo
Estorff, Otto von  
Institut
Modellierung und Berechnung M-16  
TORE-URI
http://hdl.handle.net/11420/10873
Start Page
5457
End Page
5464
Citation
International Congress on Acoustics: Integrating 4th EAA Euroregio (ICA 2019)
Contribution to Conference
4th EAA Euroregio 2019  
Publisher DOI
10.18154/RWTH-CONV-238890
Scopus ID
2-s2.0-85099331583
The Energy Boundary Element Method (EBEM) aims at the solution of acoustic high frequency problems, where the classic BEM becomes inefficient due to the large number of degrees of freedom (DOF) required. A transition to non-phased energetic state variables removes the correlation between the investigated frequency range and the element size. In the EBEM the number of DOF is thus determined primarily by the complexity of the geometry. In order to speed up the computation and to handle structures of very high geometric complexity, a fast multipole algorithm for the EBEM is investigated. It has a great potential to reduce the numerical effort in the Boundary Element Method (BEM). Helmholtz and Laplace problems have been solved very efficiently applying this algorithm. However, the kernels used in the EBEM require an adaptation of the algorithm. In this paper the development of a fast multipole formulation of the EBEM is presented.
Subjects
Boundary elements
Energy method
Fast multipole