A novel equivalence principle algorithm (epa) domain decomposition method previously for the surfaceintegralequation is explored for volume integralequation in this work. The whole object is decomposed into several...
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A novel equivalence principle algorithm (epa) domain decomposition method previously for the surfaceintegralequation is explored for volume integralequation in this work. The whole object is decomposed into several subdomains, the equivalence spheres are automatically produced to enclose each subdomain. The Rao-Wilton-Glisson (RWG) and body of revolution (bor) basis functions are defined on the equivalence sphere surface. The equivalence currents defined on the RWG basis functions are evaluated with multilevel fast multipole algorithm, and then the currents defined on the RWGs can be projected onto the bor basis functions. Compared with surface integral equation epa-bor algorithm, the ratio of the number of average original unknowns in each subdomain with respect to the equivalence unknowns is relatively larger, which leads to significant reduction of computations. Numerical simulations validate the accuracy and efficiency of the proposed method.
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