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The extracted P-wave is reverse-time extrapolated and imaged with a P-velocity model using a finite difference solution of the scalar wave equation, the extracted S-wave is reverse-time extrapolated and imaged similarly, but with an S-velocity model, and converted S-wave data requires a polarity correction prior to migration to ensure constructive interference between data from adjacent source.

在模型中，每个网格点的纵、横波成像时间，为震源到该网格点的纵波初至时间。利用纵波速度模型和声波传播方程的有限差分解，对反射纵波进行逆时延拓和成像，利用横波速度模型和声波传播方程的有限差分解，对转换横波进行逆时延拓和成像，并在偏移前进行极性校正。

It is significant to study the contact area in rolling process and simplify model of finite element.

对研究花键冷滚压成形过程中的接触面积和有限元模型的简化具有重要的意义。

In the thesis, the fundamental formula of FFD method derives from the square root that is approximated by a continued fraction expansion in the one-way wave equation. Optimizations of the parameters of the finite-difference operator improve the validity of the method.

本论文用连分式近似单程波波动方程中的平方根导出FFD算法的基本公式，并对FFD算法中的有限差分算子进行了系数优化，进一步提高了计算的有效性。

Combined with the boundary continuity condition between two kinds of two-phase medium, this finite-element method is facilitated to compute the seismic response of layered model.

文中首先推导了黏弹性双相介质的显式有限元表达式，并编制了程序；给出了黏弹性双相介质交界面的连续条件，这样就可以方便地应用于分层地质模型的计算。

The development process of the finite element method is introduced briefly,and the theoretic fundamentals of the quasi conforming element method is analyzed from generalized equilibrium equations,generalized compatibility equations and its weak continuity condition.

简述有限元的发展过程，从广义平衡方程、广义协调方程和拟协调元弱连续条件等方面分析了拟协调元的理论基础，说明了拟协调元是有限元发展的必然趋势，其做法就是广义协调方程的直接解，自然满足平衡对弱连续条件的要求。

Assuming that linear elastic continuums will deform following the elastic rules of Hook and taking the transformation of linear elastic organs in medical images as that of continuity, Finite element method is used to perform motion analysis, which is non-rigid algorithm based motion.

我们采用基于非刚体的有限元方法对超声心动图像进行运动分析，其中涉及到弹性力学的引入、有限元理论的介绍、单元网格的划分、单元的集成、位移边界条件以及对实验结果的分析。

In this paper, a new way of combined application of the energy method and the weighted residuals method to construct finite elements is proposed, Firstlly, the condition of displacement continuity is relaxed using the method of weighted residuals.

本文将能量法和加权残值法结合起来，构造非协调位移元，特点是(1)做法简便——用加权残值法来放松单元间位移连续条件。

Continuity on first derivative of wave function is discussed by means of several instances of finite and infinite transition s of potential function and hereby continuity conditions is pinpointed.

结合势函数有限跃变和无限跃变的几种实例，讨论波函数一阶导数在势函数跃变处的连续性问题，从而进一步明确连续性条件。

According to continuity principle of flow, law of conservation of mass and Darcy's law, the dual medium mathematical model of unsteady flow in fissurekarst artesian aquifer is established, and the finite volume method is adopted to get the solution, taking Longgang district in Shenzhen as an example to verify this model.

根据水流连续性原理、质量守衡和达西定律，建立了裂隙-岩溶承压含水层非稳定流双重介质数学模型，采用有限体积法对其求解，并以深圳龙岗区为例对模型进行验证。

The limitations of those principlesare stated and modified potential energy theorem with weak continuity is given which canbe applied to non-conforming finite elements.

给出了它们的限制范围，并给出在弱连续条件下的势能原理，而它是协调元和非协调元的共同基础。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。