We propose a new lowrank finite-difference method for elastic wave propagation in time domain. Firstly, based on elastic wavefield vector decomposition, we derive recursive integral time extrapolation operators for P-and S-wave, respectively. And we employ lowrank decomposition method to approximate these extrapolation operators. Then, we design the corresponding finite-difference scheme. Compared with conventional finite-difference method, the lowrank finite-difference method has higher accuracy and allows us to use large time-step in elastic wave simulation. Numerical experiments confirm that the proposed method can be an effective tool to simulate elastic waves.


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