TY - JOUR
T1 - An efficient galerkin BEM to compute high acoustic eigenfrequencies
AU - Durán, Mario
AU - Nédélec, Jean Claude
AU - Ossandón, Sebastián
PY - 2009/6
Y1 - 2009/6
N2 - An efficient numerical method, using integral equations, is developed to calculate precisely the acoustic eigenfrequencies and their associated eigenvectors, located in a given high frequency interval. It is currently known that the real symmetric matrices are well adapted to numerical treatment. However, we show that this is not the case when using integral representations to determine with high accuracy the spectrum of elliptic, and other related operators. Functions are evaluated only in the boundary of the domain, so very fine discretizations may be chosen to obtain high eigenfrequencies. We discuss the stability and convergence of the proposed method. Finally we show some examples.
AB - An efficient numerical method, using integral equations, is developed to calculate precisely the acoustic eigenfrequencies and their associated eigenvectors, located in a given high frequency interval. It is currently known that the real symmetric matrices are well adapted to numerical treatment. However, we show that this is not the case when using integral representations to determine with high accuracy the spectrum of elliptic, and other related operators. Functions are evaluated only in the boundary of the domain, so very fine discretizations may be chosen to obtain high eigenfrequencies. We discuss the stability and convergence of the proposed method. Finally we show some examples.
UR - http://www.scopus.com/inward/record.url?scp=77955216096&partnerID=8YFLogxK
U2 - 10.1115/1.3085894
DO - 10.1115/1.3085894
M3 - Article
AN - SCOPUS:77955216096
VL - 131
SP - 310011
EP - 310019
JO - Journal of Vibration and Acoustics, Transactions of the ASME
JF - Journal of Vibration and Acoustics, Transactions of the ASME
SN - 1048-9002
IS - 3
ER -