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We extend the source transfer domain decomposition method(STDDM)proposed by the author to solve time-harmonic elastic wave equation with spectral element method.Numerical examples are included to show that STDDM can be used as an efficient preconditioner in the preconditioned GMRES method for solving the problems with constant and heterogeneous wave numbers.The results indicate that it take a few number of iterations to make GMRES convergence when the pollution error is reduced.