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Solving seismic wave equation by moving least squares (MLS) method
滑动最小二乘法求解地震波波动方程

Keywords: moving least squares,finite difference,finite element,wave equation,modeling,cost
滑动最小二乘
,有限差分,有限元,波动方程,模拟,成本

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Abstract:

In this paper,the moving least squares(MLS) fitting criterion commonly used in solid mechanics is discussed for solving seismic wave equations.The fitting in MLS instead of interpolation in finite difference method(FDM) makes the solution more continuous in the whole space domain without any loss of accuracy.On the other hand,although the absence of variational principle which is necessary in finite element method(FEM) save little computational volume,the cost could further be cut down greatly by a differentiated method.An example of vibrant film shows the merits of the MLS method.Furthermore,some synthetic seismograms obtained by MLS method prove its effectivity for wave equation seismic modeling.

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