1)boundary integral formula边界积分公式
1.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。
2.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。
3.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。
英文短句/例句
1.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
2.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
3.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。
4.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
5.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.
6.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。
7.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
8.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
9.The Study on the Finite Volume Compact Scheme and the Boundary Treatment of the Compact Finite Difference Scheme;关于有限容积紧致格式的研究和有限差分紧致格式的边界处理
10.Extension Integral Formula on Bounded Domain in C~n;C~n空间中有界域一个积分公式的拓广
11.THE BOUNDARY CONTOUR METHOD WITh CUBIC ELEMENTS BASED ON EQUIVALENT BIE FOR 2-D PROBLEMS平面问题等价边界积分方程的三次边界轮廓法
12.Study of the Singularity Integrals and the Boundary Layer Effect in Bem边界元法中奇异积分与边界层效应的研究
13.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
14.The Stability of Singular Integral When the Boundary Curve of Domain of Integration Perturbs三类奇异积分关于积分区域边界摄动的稳定性
15.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
16.The last two integrals correspond to the natural boundary conditions.最后两个积分对应于自然边界条件。
17.The Stability of the Solution of Self-adjoint Integral Equations自共轭积分方程的解对边界的稳定性
18.Galerkin Boundary Element Method with Hyper Singular Intergral;带超强奇异积分的Galerkin边界元法
相关短句/例句
integration formula of boundary type边界型积分公式
3)boundary type cubature边界型求积公式
1.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。
4)boundary integral边界积分
1.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。
2.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。
3.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。
5)boundary integral method边界积分
1.In this paper boundary integral method is generalized to solve the problems of bending of thick rectangular plates based on Reissner s theory, this paper gives the closed analytical solution of the bending of thick rectangular plates under concentration bending moment and calculating results of practical values.用边界积分法求解基于Reissner理论的厚矩形板弯曲问题,给出了厚矩形板在集中力矩作用下的弯曲问题的封闭解析解,并给出了具有实际价值的计算结果。
6)Integral boundary积分边界
延伸阅读
边界积分法边界积分法method of boundary integration 边界积分法〔“比由闭ofh”n山卿加峡户血n;kO“lyP肋roH.TerpHPOB纽“，Me功八」，围道积分法(1拙thod of eon-tour integtation) 复变函数几何理论的重要方法，用这种方法能得到描述单叶和多叶函数极值性质的各种不等式，以及保形映射理论中区域映射函数(基本区域函数)间的等式.方法主要利用函数性质把已知区域保形地映射到各典型区域.利用这类映射人们可能构造具有下述边寻件辱(加助山叼Property)的区域函数:在区域的每个边界分支上，函数值与另一个这种函数的复共辘值相差一个加性常数.边界积分法基本上包括下面的内容: 所研究的积分是取在已知区域的整个边界上(边界一般取为有限段简单闭解析曲线).选取这个积分使其被积函数为包含具有上述边界性质的因子，而且在应用这个性质之后，积分值可用留数定理得到(见围道积分法(contourin唤尹石on，能山记of)，Ca吐hy积分定理(C暇hy integtal此~)).另一方面，假如原来的积分值或其符号已经知道，则作为结果人们可以得出所用函数之间的一些关系或联系着它们的若干不等式.通常能够使用上述方法的边界积分是作为根据非负二重积分O欢刀公式所作变换的一个结果，即在给定区域上正则的某函数的导数模平方的积分.这样一来就把边界积分法与面积法(山岌In℃th-记)联系起来了.使用边界积分法，可得下面有关结果:多连通区域间单叶保形映射的畸变定理(曲toltjon山印J℃11‘)(见【11，【21);单叶函数系数的充要条件(见【3」);有关保形映射理论中基本区域函数的若干恒等式(见f41). 在研究单叶函数时边界积分法还采用下面形式.假设，例如B是w平面内边界C由有限简单闭解析曲线组成的区域;假设S(w)是在除去B的有限个点以外的整个w平面内调和的函数;又设p(w)为具有下面性质的函数:差S(w)一p(w)在区域B内调和，闭区域上连续，且P(w)}c=O，则 )“器“￡‘0，这里刁/口n表示B的外法向微分.若。(w)和q(w)为解析函数，S=Re6，尸=Reg，则上面不等式可以写成如下形式 Re}卞)‘。
