TY - JOUR N2 - An isogeometric boundary element method is applied to simulate wave scattering problems governed by the Helmholtz equation. The NURBS (non-uniform rational B-splines) widely used in the CAD (computer aided design) field is applied to represent the geometric model and approximate physical field variables. The Burton-Miller formulation is used to overcome the fictitious frequency problem when using a single Helmholtz boundary integral equation for exterior boundary-value problems. The singular integrals existing in Burton-Miller formulation are evaluated directly and accurately using Hadamard’s finite part integration. Fast multipole method is applied to accelerate the solution of the system of equations. It is demonstrated that the isogeometric boundary element method based on NURBS performs better than the conventional approach based on Lagrange basis functions in terms of accuracy, and the use of the fast multipole method both retains the accuracy for isogeometric boundary element method and reduces the computational cost. L1 - http://journals.pan.pl/Content/112810/PDF/aoa.2019.129263.pdf L2 - http://journals.pan.pl/Content/112810 PY - 2019 IS - No 3 EP - 492 DO - 10.24425/aoa.2019.129263 KW - isogeometric analysis KW - boundary element method KW - Burton-Miller method KW - acoustic scattering KW - fast multipole method A1 - Chen, Leilei A1 - Zhao, Wenchang A1 - Liu, Cheng A1 - Chen, Haibo A1 - Marburg, Steffen PB - Polish Academy of Sciences, Institute of Fundamental Technological Research, Committee on Acoustics VL - vol. 44 DA - 2019.10.04 T1 - Isogeometric Fast Multipole Boundary Element Method Based on Burton-Miller Formulation for 3D Acoustic Problems SP - 475 UR - http://journals.pan.pl/dlibra/publication/edition/112810 T2 - Archives of Acoustics ER -