A Efficient Mixed Algorithm of L-MEI and DDM for the Wave Scattering by a Cylinder

摘要

In this paper a localized MEI method (L-MEI) is developed and combined with the domain decomposition method (DDM) for the simulation of scattering by a cylinder. In the L-MEI, the whole domain of solution is decomposed into many subdomains. Different with 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 MEI coefficients has some advantages: 1) speeding up the calculation of MEI 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 nodes.