TY - JOUR
T1 - On the calculation of the acoustic eigenfrequencies for anisotropic materials with uncertainty
AU - Ossandón, Sebastián
AU - Reyes, Camilo
PY - 2014/3/1
Y1 - 2014/3/1
N2 - In this work a numerical method, based on a boundary integral formulation, is used to calculate approximately the acoustic eigenfrequencies or eigenvalues in a bounded domain filled with an anisotropic material. We assume that the knowledge about the anisotropy is uncertain or incomplete, and we use fuzzy numbers to model it. Using the Zadeh's extension principle and affine transformations, we get approximate fuzzy solutions to the posed problem. Finally some numerical examples are shown.
AB - In this work a numerical method, based on a boundary integral formulation, is used to calculate approximately the acoustic eigenfrequencies or eigenvalues in a bounded domain filled with an anisotropic material. We assume that the knowledge about the anisotropy is uncertain or incomplete, and we use fuzzy numbers to model it. Using the Zadeh's extension principle and affine transformations, we get approximate fuzzy solutions to the posed problem. Finally some numerical examples are shown.
KW - Acoustic eigenfrequencies
KW - Anisotropic materials
KW - Boundary Element Method
KW - Extension principle
KW - Fuzzy numbers
UR - http://www.scopus.com/inward/record.url?scp=84892707840&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2013.12.117
DO - 10.1016/j.amc.2013.12.117
M3 - Article
AN - SCOPUS:84892707840
SN - 0096-3003
VL - 230
SP - 330
EP - 335
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -