积分的

The penalty function is adopted to impose the essential boundary condition, the tensor product weight function with a rectangular influence domain is chosen, and the finite element background cell is considered as the integration unit.

将无网格再生核质点法用于刚塑性可压缩材料轧制过程的模拟，采用罚函数满足本质边界条件，选用矩形影响域的张量积核函数，利用有限元网格作为积分单元，对求解域内和边界上采用不同的高斯积分方案。

A set of governing dynamic equations with different basic unknowns and with different hypotheses is presented. Thereafter, the 3-D non-axisymmetric governing dynamic equation is solved by means of Fourier expanding and Hankel integral transform method.

在Biot两相介质波动理论的基础上，直接用Fourier展开和Hankel积分变换技术分析三维非轴对称饱和弹性土层和饱和弹性半空间波动方程，首次得到用积分变换形式表示的，三维非轴对称饱和弹性土层和饱和弹性半空间，以饱和土土骨架位移和孔隙水压力为基本未知量的基本解。

The method can beused to solve the integro-differential equation included fractional integral orfractional derivative in a long history and the difficulty of storing all history data isovercome and the error can be controlled.Two numerical examples are presented.

利用该方法可对包含分数积分和微分的积分-微分方程进行较长时间的数值模拟，克服了存储全部历史数据的困难，并能对计算误差进行控制。

The general Fredholm integral equation of the first kind with logarithmic kernel in 2 dimensions does not always have unique solution, especially for the unbounded problem, it depends on the asymptotic behaviour at infinity.

对二维问题，一般的带对数积分核第一类Fredholm 积分方程并不总是唯一可解的，特别是对外边值问题，解在无穷远处的形态有很大的影响。

By use of the method of integral equation, the second kind Fredholm's integral equation was deduced to solve the interaction factors of pile-pile, pile-soil and soil-soil. Using the principle of superposition, the piled raft foundation was calculated. The validity of the proposed method was verified through comparison with solutions obtained using other methods by existing theories of elasticity.

采用积分方程法推导出求解桩－桩、桩－土和土－土间相互作用系数所需要的第二类Fredholm积分方程，利用叠加原理对桩筏基础进行计算分析，通过与常规弹性理论方法计算结果的比较验证了本文方法的正确性。

Then, with the help of Hankel integral transform, general solutions to axisymmetric problems are obtained in the frequency field, based on which the dynamic response of the unsaturated soils half-space subjected to a vertical concentrated surface load is investigated.

利用Hankel积分变换方法，对频域内的轴对称问题进行了求解。在此基础上研究了非饱和土半空间体在垂直集中力作用下的动力响应，给出了Lamb问题的积分形式解。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

Image sequence of images for each frame along the horizontal and vertical direction integral projection formed two integral projection Vector and applications based on the one-dimensional gradient estimated translation technology, thereby obtaining accurate two-dimensional space on the volume of translation.

将图像序列中的每一帧图像分别沿水平和垂直方向进行积分投影形成两个积分投影向量，并应用基于梯度的一维平移估计技术处理，从而精确地获取二维空间上的平移量。

2The matrix elements of the equation is obtained in the form of general formulaby cautions deduction using spinor formula,together with identical transformation andintegral formula related to FG.

运用诸旋量计算公式和含G函数的恒等变换、积分公式，经过细致的推导，以通项公式形式给出该一维积分方程相应于〓态的诸矩阵元。

Further more, the equivalent boundary integral expressions of the set of potential functions satisfying the inhomogeneous field equation are rigoro...

获得 Poisson问题的间接变量等价边界积分方程；通过一些例子，详细讨论了传统的外问题和边界积分方程的形式，表明它们不具有普遍适用性

This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

This also 星体投射plies to buildings, structures and geological features.

这也适用于建筑物和地质特征。