BOUNDARY SPECTRAL METHOD FOR ACOUSTIC SCATTERING AND RADIATION PROBLEMS

The spectral method is considered in solving boundary integral equatio ns, By subtracting known solutions from the Helmholtz integral equatio n, the singularities of the Helmholtz integral equation are removed, T herefore, any order of basis functions, used in spectral methods, that times nonsingular kernels in the modified Helmholtz integral equation can be integrated easily and efficiently, Instead of solving the vari ables at collocation points using conventional methods, the generalize d Fourier coefficients are solved by the spectral method which reduces the number of unknowns and the storage of matrix elements in computat ion, Scattering and radiation problems from a sphere are used to illus trate the technique in the present paper. (C) 1997 Acoustical Society of America.