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SUMMARYThe problem of acoustic wave scattering by closed objects via second kind integral equations, is considered. Based on, combined Helmholtz integral equation formulation (CHIEF) method, an e cient method for choosing and utilizing interior ÿeld relations is suggested for solving the nonuniqueness problem at the characteristic frequencies. The implementation of the algorithm fully utilizes previous computation and thus signiÿcantly reduces the CPU time compared to the usual least-squares treatment. The method is tested for acoustic wave scattering by both acoustically hard and soft spheres. Accurate results compared to the known exact solutions are obtained.

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