@Article{cmes.2013.091.463, AUTHOR = {Z.Y. Qian, Z.D. Han, S.N. Atluri, 2}, TITLE = {A Fast Regularized Boundary Integral Method for Practical Acoustic Problems}, JOURNAL = {Computer Modeling in Engineering \& Sciences}, VOLUME = {91}, YEAR = {2013}, NUMBER = {6}, PAGES = {463--484}, URL = {http://www.techscience.com/CMES/v91n6/26928}, ISSN = {1526-1506}, ABSTRACT = {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.}, DOI = {10.3970/cmes.2013.091.463} }