Numerical quadrature for singular and near-singular integrals of boundary element method and its applications in large-scale acoustic problems
G Jiayuan, AN Junying, MA Li, XU Haiting - Acta Acustica, 2022 - jac.ac.cn
The numerical quadrature methods for dealing with the problems of singular and near-
singular integrals caused by Burton-Miller method are proposed, by which the conventional
and fast multipole BEM (boundary element method) for 3D acoustic problems based on
constant elements are improved. To solve the problem of singular integrals, a Hadamard
finite-part integral method is presented, which is a simplified combination of the methods
proposed by Kirkup and Wolf. The problem of near-singular integrals is overcome by both …
singular integrals caused by Burton-Miller method are proposed, by which the conventional
and fast multipole BEM (boundary element method) for 3D acoustic problems based on
constant elements are improved. To solve the problem of singular integrals, a Hadamard
finite-part integral method is presented, which is a simplified combination of the methods
proposed by Kirkup and Wolf. The problem of near-singular integrals is overcome by both …
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