算例表明，高阶样条权函数在局部边界积分方程方法中有好的收敛性、稳定性和精度。
The numerical results show that higher spline weight functions in the local boundary integral equation method have excellent properties.
给出一个适用于平面断裂力学分析的新边界积分方程，在此方程的基础上建立了边界元数值计算方法。
A new boundary integral equation is introduced to analyze plane elastic problems with cracks, and the boundary element numerical method based on this equation is established.
本文中采用边界积分方程和有限元耦合的数值方法，计算了二维波浪绕射和辐射问题。
The numerical method of coupled boundary integral equation and finite element has been used to compute the forces of wave diffraction and radiation on large two dimensional objects.
用混合边界条件方法建立了问题的确定积分方程组，并进行了简化。
The governing integral equations are established by the method of mixed boundary-condition land the simplified form is given.
该方法通过一系列特解来建立边界积分方程，从而避免了其系数矩阵的直接计算。
The method is used to build the boundary integral equation by a serious of particular solutions. It can avoid calculating the coefficient matrix directly.
目前，解决这类问题的数值方法主要有有限差分法、有限元法、边界元法、积分方程法、传输线法等。
At present, the common numerical methods are finite difference, finite element, boundary element, integration equation and transmission line method.
给出了离心泵叶片表面的边界层动量积分方程的解的构造及其计算方法，并以计算实例说明了该解的唯一性和算法的稳定性、收敛性。
Solutions of the boundary layer momentum integral equations of vanes in centrifugal pumps are given and their calculation method and their illustration with example are given too.
使用边界积分方法求解已知第二类边界条件的拉普拉斯方程或泊松方程时，理论上解是不唯一的。
Theoretically the numerical solution of Poisson's equation or Laplace's equation plus Neumann boundary condition calculated by the boundary integration method is not unique.
研究了用边界单元法解积分方程中点源和无穷边界的处理方法。
The treatment of point source and infinite boundary in solving the integral equation by BEM are developed.
另一种处理方法是只对弥散项实施积分变换，应用边界条件，得出变分方程。
The other method is to perform the integration by parts only to dispersion term, then introduce the boundary conditions, and finally obtain the variation equation.
文章提出将子波分析用于求解声学中的边界积分方程，能提高现有边界元方法解决工程问题的能力。
Traditional boundary element methods with a full matrix equation for acoustic problems, have been met by a challenge in large scale scientific computation and numerical simulation in engineering.
从而完成了超奇异积分方程组数值法的建立，这一方法现称之为有限部积分——边界元法。
So far, the numerical techniques solving the hyper-singular integral equations are established, and these are called finite-part integral-boundary element method.
采用动量积分方法推出了管道流动中的速度边界层方程，给出了管道层流和紊流时速度边界层和核心区中的速度分布、边界层厚度的解析结果，并与冯。
The analysis result of velocity distribution and boundary layer thickness is put forward in the boundary layer and cored region for laminar and turbulent flow of pipeline.
采用动量积分方法推出了管道流动中的速度边界层方程，给出了管道层流和紊流时速度边界层和核心区中的速度分布、边界层厚度的解析结果，并与冯。
The analysis result of velocity distribution and boundary layer thickness is put forward in the boundary layer and cored region for laminar and turbulent flow of pipeline.
应用推荐