A efficient mixed algorithm of L-MEI and DDM for the wave scattering by a cylinder

In this paper a localized MEI (measured equation of invariance) method (L-MEI) is developed and combined with the domain decomposition method (DDM) (Yin and Hong 1999) for the simulation of scattering by a cylinder. In L-MEI, the whole domain of solution is decomposed into many subdomains. Different from the conventional MEI method, the MEI coefficients of the L-MEI method in each subdomain are only dependent of the localized metrons that are defined in the subdomain. The localization of the MEI coefficients has some advantages: (1) speeding up the calculation of the MET coefficients and saving memory costs, (2) making the MEI method available for more complex structures, and (3) obtaining a band sparse matrix without changing the order of the nodes.