The construction of boundary type cubature is a problem that has been noticed for a very long time in numerical integration.
边界型求积公式是数值积分法研究方向早就被注意的问题。
By using Green function,the boundary integral formula and natural boundary integral equation for the boundary value problems of biharmonic equation were obtained.
利用Green函数,根据双调和方程边值问题的边界积分公式和自然边界积分方程。
With this method,boundary integral formula just related to boundary velocity can be obtained by Fourier series expanded technique.
针对圆外区域的Stokes问题,利用Fourier展开法,通过自然边界归化得到了一个只与边界速度有关的Stokes问题的边界积分公式。
After the stress function and its normal derivative on the boundary for the plane problem of exterior circular domain are expanded into Laurent series,comparing them with the Laurent series of the complex stress function and making use of some formulas in Fourier series and in the convolutions,the boundary integral formula of the stress function is derived further.
将边界上的应力函数及其法向导数展开为罗朗级数,与复应力函数的罗朗级数的表达式对比,可以确定罗朗级数的各系数,再利用傅利叶级数和卷积的几个公式进行计算,得到应力函数边界积分公式。
An explicit boundary type integral formulations of domain variables were presented for three dimensional initial strain problems using boundary element method.
给出了用边界单元法求解三维初应变问题时区域型变量的边界型积分公式的显式。
Triangular elements are adopted to discretize the boundary of flow field, boundary integral method is chosen to solve the flow field and the evolution of bubble is simulated with Mixed-Eulerian-Lagrangian method.
模拟了单个气泡在重力场作用下动态特性,假设流场为无粘、无旋且不可压的理想流体,采用三角形单元离散流场边界,并用边界积分法求解流场,用Mixed-Eulerian-Lagrangian方法模拟气泡的演化,并在必要的时候采用三维光顺方法对气泡表面及其速度势分布进行光顺,使计算程序更准确,更稳定。
The evolution of the bubble is solved by the boundary integral method,and the singularity of the double layer potential is eliminated by recasting the principal-value integral of the double-lay.
模拟了近壁、近自由面的水下爆炸气泡的非线性动态特性,假定水下爆炸气泡脉动阶段的流场是无旋、不可压缩的,采用高阶曲面三角形单元离散三维气泡表面,用边界积分法求解气泡的运动,在计算奇异积分时通过重新构造双层位势的主值积分消除双层奇异积分的奇异性,得到更精确的结果,并通过合理的加权方法精确的求解边界面上各节点的真实速度,结合弹性网格技术(elastic mesh technique,EMT)得到优化速度,在整个模拟过程中不需要采用数值光顺。
Based on the assumption of potential flow,the coupled numerical model of bubble and wall is built and the model is calculated with boundary integral method and three-dimensional computing program is developed.
基于势流假设,建立气泡与壁面耦合数值模型,运用边界积分法求解,开发了三维计算程序,计算值与实验值吻合良好。
On the Boundary Type Cubature in Multiple Numerical Integration;
高维数值积分边界型求积公式的研究
Construction of the boundary-type quadrature formulas for a kind of special region
一类特殊区域上的边界型求积公式的构造
Quadrature Formulas of H_m~T(θ) Type(Ⅰ);
H_m~T(θ)型求积公式(Ⅰ)
BOUNDARY INTEGRAL FORMULA FOR BENDING OF CLAMPED SEMI-INFINITE PLATE
悬臂半无限大板弯曲的边界积分公式
Constructing System of Inequalities to Calculate the Square of Plane Figure and Double Integrals by Skilfully Using the Boundary Line;
巧用边界线建立不等式组求平面图形面积和二重积分
Equilibrium BL's: Clauser Hypothesis. Dissipation Formulas and Integral Closure.
平衡边界层：克劳勒假说。消散公式和封闭积分。
Methods and Formulas of Domain Integrals in BEM
边界元的域内积分的处理方法和相应公式
Newton-Cotes formula
牛顿－柯特斯求积公式
On Compound Multiplicative Formula and Romberg Algorithm;
复合求积公式与Romberg算法
Teacher: Look at this formula. If I want to work out the area of a parallelogram, what do I have to know firstly?
师：看看这个公式，要求出平行四边形的面积，必须知道哪两个条件？
High Accuracy Mechanical Quadrature Method for Solving Nonlinear Boundary Integral Equations;
非线性边界积分方程的高精度机械求积法
The different order coefficients of this new Z ABCs can be given by a recurrence formula.
给出的递推公式可方便地求出不同阶数的吸收边界条件的系数
In this paper, we have established a few approximate expressions for the potential integral, which arised from BIE methods, Moreover, an elimination technique is developed for the asymmetrical matrices.
本文给出边界积分方程法中出现的位势积分的若干计算公式及非对称矩阵的消元技术。
The discretization of BIE is based upon constant elements.
边界积分方程的离散基于常数元模式.
A new boundary integral-differential equation for three dimensional Helmholtz equation and its boundary element methods
三维Helmholtz方程边值问题的新型边界积分-微分方程及其边界元解法
Value and social function scope of public hospital
公立医院社会责任的边界与价值诉求
THE NEW FORMULA OF BEM FOR CALCULATING THE DISPLACEMENTS AND THE STRESSES IN BOUNDARY LAYER
物体边界层域内位移及应力的边界元法新公式
The Mechanical Quadrature Methods for Solving Boundary Integral Equations in the Application of Numerical Simulation of Reservoirs;
边界积分方程的机械求积法在油藏数值模拟中的应用