单程波动方程解的有限元逼近

THE APPROXIMATED SOLUTION OF ONE-WAY WAVE EQUATIONS BY FINITE ELEMENT METHOD

  • 摘要: 本文讨论了利用有限单元——有限差分方法求解单程波动方程的15°和45°近似的两个定解问题。对于前者我们已经取得了采用线性元和二次元归位的地震剖面。当采用线性元进行逼近时,则其效果和所需机时是与Clacrbout的差分法一样的。

     

    Abstract: In this Paper the finite eclment-finite difference method is used to solve numerically two problems of 15-degree and 45-degree one-way wave equations For 15-degree one-way wave equation we have obtained the seismic profile when linear elements and quadratic elements are used, It has been proven that the linear element method is the Claerbout difference method.

     

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