边界

There is a relatively complete style of homogeneous function about the boundary condition in the problem of sure resolution of unhomogeneous boundary condition,which is based on the summarizing of mass former experiences and is proved in this article.

通过对非齐次边界条件的定解问题的讨论，引出了本文的论题，对非齐次边界条件定解问题的边界条件齐次化函数提出了一种比较一般和标准的形式，并提出了一个定理。对该定理进行了证明，证明了它的正确性。

The boundary singular kernel method and modified penalty method are utilized to treat the velocity boundary conditions and incompressibility constraint, respectively. The arc-tangential friction model is employed to treat the contact conditions.

分别采用边界奇异权法和修正的罚函数法处理速度边界条件和体积不可压缩条件，采用反正切摩擦模型处理摩擦边界条件，推导了金属三维塑性成形过程EFGM法数值模拟的刚度方程，给出了关键算法。

The mild-slope equation with current effects is reformulated to an inhomogeneous Helmholtz equation. Applying the conventional boundary element method to this inhomogeneous equation, the inhomogeneous part will result in a domain integral which makes the computation complicated and messy. To improve this drawback, the DRBEM is adopted to transform the domain integral to boundary integral.

首先将含水流效应之缓坡方程式重新整理为非齐次之Helmholtz方程式，再利用Green公式改写为积分方程式，但利用一般传统边界元素法解析时，将存在一领域积分项，使得边界元素法显得繁杂且不完美，为改善此一缺陷，本文乃应用双互换边界元素法之技巧，以节省大量之数值计算时间。

The direct problem was solved by DRBEM, which eliminated the drawback of domain integral for classical boundary element method and resulted in pure boundary integral calculation.

正问题采用双倒易边界元法求解，该法避免了传统边界元法需进行区域积分的缺点，仅需纯边界积分计算。

Boundary element method is a kind of numerical algorithm on boundary; it is based on the boundary integral equation and employs the element discretization technique.

边界元属于边界型的数值方法，它是以边界积分方程为数学基础，同时采用了有限元法的单元离散技术。

New boundary integral equations for the torsion problem of an isotropic bar with curvilinear cracks are derived by using integration by parts and other techniques to the traditional boundary integral formulations. And the boundary integral equations for the torsion problem of an anisotropic bar with curvilinear cracks are also derived by using the isotropicalized boundary element method. Then the anisotropic problem can be solved on the base of the boundary element method of isotropic problem.

然后用各向同性化方法，将各向异性材料裂纹柱体的扭转问题转化为各向同性材料的问题，在各向同性材料裂纹柱体扭转问题的新的边界积分方程的基础上，推导出了适用于各向异性材料裂纹柱体扭转问题的边界积分方程，然后按已推导出的各向同性问题的边界元法求解。

Based on the additional information such as displacements or stresses provided at several internal or boundary points in the structure,combined with stochastic boundary element method and optimization technique,the basic model of the prediction of the structural reliability by inverse analysis of boundary element method is presented in this p.

本文利用随机边界元法与非线性优化技术相结合，根据弹性体内或边界上的位移、应力等附加信息，建立了结构可靠性预测的边界元逆分析法的基本模型，算例证明了该理论的有效

Then, the boundary points are extracted. By using Shu's theorems the sum of Legendre polynomial of the boundary points is calculated.

首先使用Yang-离散格林公式将二值图像矩计算中区域内求和转换为沿区域边界求和；然后提取该图像的边界点；再利用Shu提出的公式计算出边界点的Legendre多项式的叠加值。

Corresponding mathematics model was developed, hole-edge stress analysis on composite material plate with multiform holes was carried out, accurate boundary conditions was founded by conformal mapping method, boundary problems of the two stress functions could be treated by affine transformation in the same way synchronously.

建立了相应的数学模型，对含不同孔型复合材料板进行了孔边应力分析，通过保角映射方法建立精确的边界条件，解决了复杂孔型的边界条件问题，借助仿射变换能同时并且同方法的处理这两个应力函数在边界上的问题。

In order to decrease noise disturbance, maximum membership principle of the boundary points and roughness are defined.

本方法提出了边界点的最大隶属原则并进而提出了边界点的粗糙度以及边界点的最大隶属原则，从而大大减小了噪声的干扰。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。