运用边界单元法将边界积分离散化。
The boundary integral equation is discretized by the boundary element method.
边界积分方程的离散基于常数元模式。
变分原理的边界积分项对于相邻单元互相抵消。
The boundary integral terms of variational principle are cancelled mutually for the adjacent elements.
变分原理的边界积分项对于相邻单元相互抵消。
The boundary integral terms of the variational principle are cancelled mutually for the adjacent elements.
利用无奇性边界积分技术完全避免边界奇积分。
The exterior point nonsingular integration technique is suggested so that the singular integrations can be evaded.
自然边界积分方程分析可直接获得边界应力和位移导数。
The natural BIE can be employed directly to obtain boundary stresses and displacement derivatives.
本文避开奇异基本解，用非奇异基本解建立边界积分方程。
Avoiding singular fundamental solution, the paper using non-singular fundamental solution to establish the boundary integral equation.
采用样条插值函数将均匀介质的边界积分方程离散为代数方程组。
The boundary integral equation in homogeneous media was dispersed into algebraic equations through the use of spline function.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
数值计算采用配置法计算耦合的边界积分方程，使用四边形常单元。
In numerical calculation, the paper employs the collocation method to compute the coupled boundary integral equations with quadrangle constant elements.
传统的平板弯曲边界元域外奇点法要求建立二个边界积分方程才能求解。
The traditional boundary element method of outside domain singularity points for plate bending problems needs two boundary integral equations.
提出了求积法解稳态问题的混合边界积分方程，它拥有高精度，低复杂度。
We present a quadrature method for mixed boundary integral equations of stable problems, which provides high accuracy and less complexity.
再得到与之对应的各类变分原理，界限定理，第二阶段问题的边界积分方程。
Then correspondently, we obtain the specific variational principles, bounded theorems, and boundary integral equations of the second stage problems.
导数场边界积分方程通常难以应用，因为存在着超奇异主值积分的计算障碍。
The several different displacement derivative boundary integral equations (BIE) have been proposed in elasticity problem.
然而，至今关于平面位势问题的第一类边界积分方程的规则化研究尚未涉足。
However, up to now the research of regularization to the first kind integral equations for plane potential problems has never been found in previous literatures.
本文采用一种边界积分方程法，计算了共线周期反平面裂纹的动应力强度因子。
In this paper, a boundary integral equation method is applied to compute the dynamic stress intensity factors of collinear periodic antiplane cracks.
本文用静线弹性问题的开尔文解作为权函数导出了稳态振动问题的边界积分方程。
The Kelvin solution to the static linear elastic problem is used as the weighted function to derive the boundary integral equation for steady-state vibration problems.
该方法在利用基本解的基础上，将域内积分化为边界积分来处理，节省了工作量。
Basing on the fundamental solution, this method turns the internal integrals of the problem into boundary integrals, thus the amount of computational work is saved.
本文采用了初应变法提出非线性问题的边界积分方程并指出了在充填采矿中的应用。
By means of initial strain method, the plastic problem in cut-and-fill mining is solved by integration equation.
由边界积分方程推导了泊松问题和线弹性力学问题的广义间接边界元法的基本公式。
The fundamental formulas of generalized indirect BEM for the Poisson 's and linear elasticity problems are proposed initiating from the boundary integral equation.
本文提出了一个用边界积分方程——边界元法解克希霍夫平板弯曲问题的协调方案。
In this paper the kirchhoff plate bending problems have been solved by Boundary Element Method.
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.
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.
通过数值求解边界积分方程组，对流量、水面线和边壁压力等水力参数进行了数值模拟。
The flow parameters such as discharge, free surface profile and boundary pressure distribution are simulated by numerical calculating the boundary integral equations.
借助边界元法将油气藏工程中的多油井生产的压力分布问题转化为相应的边界积分方程。
By means of boundary element method, the pressure distribution problems in petroleum industry are transformed into corresponding boundary integral equation.
以二维弹性力学自然边界积分方程法为基础建立了二维弹塑性问题的自然边界积分方程。
Based on the natural boundary integral equation for two dimensional elasticity, a corresponding elastoplastic formulation is presented in this paper.
在用直接边界元法解决弹性问题时，当场点与加载点重合时，边界积分方程将出现奇异。
When the direct boundary element method (DBEM) is used to solve an elastic problem and the field point coincides with the load point, the boundary integral will be strange.
由于边界元法是半解析半数值解法。在解边界积分方程时会遇到解的存在与唯一性问题。
Because the boundary element method is half analytical and half numerical, there exist the problems of the existence and uniqueness of the solutions.
为此，建立了求解该问题的边界积分方程法，利用积分方程法可获得问题的近似分析解。
Therefore, the boundary-integral equation techniques are put forward to solve this problem and to obtain the approximately analytical solutions of scattered waves on the edge of cutout in shell.
本文对边界积分方程中所存在的超奇异积分的数值解法作了综述，并介绍了它的一些应用。
In this paper numerical solution methods of hypersingular integrals in boundary integral equation have been summarized together with some of their applications.
应用推荐