Chein-Shan Liu1,2,3, Wen Chen1, Ji Lin1
CMES-Computer Modeling in Engineering & Sciences, Vol.111, No.5, pp. 421-435, 2016, DOI:10.3970/cmes.2016.111.421
Abstract In order to recover unknown space-dependent function G(x) or unknown time-dependent function H(t) in the wave source F(x; t) = G(x)H(t), we develop a technique of homogenized function and differencing equations, which can significantly reduce the difficulty in the inverse wave source recovery problem, only needing to solve a few equations in the problem domain, since the initial condition/ boundary conditions and a supplementary final time condition are satisfied automatically. As a consequence, the eigenfunctions are used to expand the trial solutions, and then a small scale linear system is solved to determine the expansion coefficients from the differencing equations.… More >
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