Meshless acoustic analysis using a weakly singular Burton-Miller boundary integral formulation  

作　　者：Linchong CHEN Xiaolin LI 

机构地区：[1]School of Mathematics and Information Engineering,Chongqing University of Education,Chongqing 400065,China [2]School of Mathematical Sciences,Chongqing Normal University,Chongqing 400047,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2020年第12期1897-1914,共18页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.11971085);the Innovation Research Group Project in Universities of Chongqing of China(No.CXQT19018);the Science and Technology Research Program of Chongqing Municipal Education Commission of China(No.KJZD-M201800501);and the Science and Technology Research Program of Chongqing University of Education of China(No.KY201927C)。

摘　　要：The Burton-Miller boundary integral formulation is solved by a complex variable boundary element-free method(CVBEFM)for the boundary-only meshless analysis of acoustic problems with arbitrary wavenumbers.To regularize both strongly singular and hypersingular integrals and to avoid the computation of the solid angle and its normal derivative,a weakly singular Burton-Miller formulation is derived by considering the normal derivative of the solid angle and adopting the singularity subtraction procedures.To facilitate the implementation of the CVBEFM and the approximation of gradients of the boundary variables,a stabilized complex variable moving least-square approximation is selected in the meshless discretization procedure.The results show the accuracy and efficiency of the present CVBEFM and reveal that the method can produce satisfactory results for all wavenumbers,even for extremely large wavenumbers such as k=10000.

关 键 词：meshless method complex variable moving least-square approximation boundary element-free method Burton-Miller formulation REGULARIZATION high frequency acoustic problem large wavenumber 

分 类 号：O241.8[理学—计算数学]