TY  - EJOU
AU  - Yan, Zai You 
AU  - Cui, Fang Sen 
AU  - Hung, Kin Chew 

TI  - Investigation on the Normal Derivative Equation of Helmholtz Integral Equation in Acoustics
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2005
VL  - 7
IS  - 1
SN  - 1526-1506

AB  - Taking the normal derivative of solid angles on the surface into account, a modified Burton and Miller's formulation is derived. From which, a more reasonable expression of the hypersingular operator is obtained. To overcome the hypersingular integral, the regularization scheme developed recently is employed. Plane acoustic wave scattering from a rigid sphere is computed to show the correctness of the modified formulation with the regularization scheme. In the computation, eight-nodded isoparametric element is applied.
KW  - Boundary element method
KW  -  solid angle
KW  -  hypersingular integral
KW  -  Helmholtz integral equation
KW  -  regularization

DO  - 10.3970/cmes.2005.007.097