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By using thenatural boundary element method which is set up by professor Feng Kang,the Neu-mann boundary problem of the harmonic equation on the half-upper plane is reducedto the Hadamard type singular integral equation,the integral region of which is un-bound,and then we turn it into corresponding bilinear form.

通过由冯康教授开创的自然边界元方法，将上半平面调和方程的Neumann边值问题归化为Hadamard型强奇异自然边界积分方程，并且此积分方程是无界域上的强奇异自然边界积分方程，然后将它转化为相应的变分形式。

The theory of complex variable function for anisotropy plate combined with boundary collocation method is applied to calculation pin-loads and contact region as well as the contact stress on the hole boundary.

采用各向异性板的复变函数理论和边界配置方法，对连接件进行分区，加以限制条件，对多钉连接的复合材料层合板的钉载和板与螺栓间的接触应力和接触区域进行了计算。

Based on the fundamental solution of plane piezoelectric problems and the basic thought of the virtual boundary element method for elasticity, this paper presents a virtual boundary element-equivalent collocation method for plane piezoelectric materials.

利用压电材料平面问题的基本解和弹性力学虚边界元方法的基本思想，提出了压电材料平面问题的虚边界元-等额配点解法。

In chapter 2,all kinds of numerical methods of computational fracturemechanics are summarized,the development histories and present situation ofboundary collocation method,boundary integral method,finite difference method,boundary element method and finite element method are expounded,and theapplication of finite element method in fracture mechanics are emphaticallydiscussed.

第二章 总结了计算断裂力学中各种数值方法，论述了边界配位法、边界积分法、有限差分法、边界元法及有限元法的发展历史和现状，并着重讨论了有限元法在断裂力学中的应用。

Problem of deciding solution whose boundary condition is given is called boundary problem.

在本文中，讨论的均为发展方程的柯西问题。

Analysis system of boundary integral equation based on the above mentioned accurate boundary condition was set up.

建立了基于准确的边界条件的边界积分方程分析体系，最终得到开口结构的应力分布。

In order to decrease the reflection of wave on the boundary, spongy condition was used on top boundary.

为了减少波在边界上的反射，顶部边界采用了海绵边界条件。

boundary line of transaction curve ; parametric equation of coordination ; length of boundary line

本文导出了缓和曲线边线的坐标参数方程及边线长度

Constructing triangle surface which interpolates the boundary curve and cross-boundary slopes on a triangle is the basic problem in computer aided geometric design, computer graphics and so on.

在三角形域上构造对边界曲线和跨界导数插值的三角曲面是计算机辅助几何设计和计算机图形学等领域中的基本问题。

Based on the analysis of the characteristics of the compensation directions for boundary curve s in rapid prototyping direct slicing, a new method, which can determinate the compensation direction by converting the boundary curve to beeline polygon,is proposed.

在分析快速成型制造中直接切片真实边界曲线补偿方向特点的基础上，提出了一种将曲线边界转化为直线多边形进行补偿方向判定的方法，并阐述了该判定方法的几何意义。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。