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 -