TY - EJOU AU - Han, Z.Y. Qian, Z.D. AU - Atluri, S.N. TI - A Fast Regularized Boundary Integral Method for Practical Acoustic Problems T2 - Computer Modeling in Engineering \& Sciences PY - 2013 VL - 91 IS - 6 SN - 1526-1506 AB - To predict the sound field in an acoustic problem, the well-known non-uniqueness problem has to be solved. In a departure from the common approaches used in the prior literature, the weak-form of the Helmholtz differential equation, in conjunction with vector test-functions, is utilized as the basis, in order to directly derive non-hyper-singular boundary integral equations for the velocity potential ∅, as well as its gradients q;. Both ∅-BIE and q-BIE are fully regularized to achieve weak singularities at the boundary [i.e., containing singularities of O(r-1)]. Collocation-based boundary-element numerical approaches [denoted as BEM-R-∅-BIE, and BEM-R-q-BIE] are implemented to solve these. To overcome the drawback of fully populated system matrices in BEM, the fast multipole method is applied, and denoted here as FMM-BEM. The computational costs of FMM-BEM are at the scale of O(2nN), which make it much faster than the matrix based operation, and suitable for large practical problems of acoustics. KW - Boundary integral equations KW - Fast multilevel multipole algorithm DO - 10.3970/cmes.2013.091.463