3D scalar-formulation of IE-MEI method for acoustic scattering

The scalar-formulation of IE-MEI method for the 3D acoustic scattering problem is presented in this paper. The surface integral equation is derived from the scalar reciprocity relation by using the 3D scalar Helmholtz equation which satisfies the MEI postulates. As a result it preserve the matrix sparsity which can save computational time and storage memory. This paper also focuses on the insensitive property of MEI coefficients with respect to the small modification of the scatterer shape which can broaden the applicability of the MEI technique. The numerical results of the arbitrary shape 3D problem are verified with the available numerical solution.