自然边界

引入一条人工边界BR，通过自然边界归化获得人工边界BR上精确的人工边界条件。

An artificial boundary B_r is introduced , and an exact boundary condition by the natural boundary reduction is obtained .

调和方程自然边界元Shannon小波方法

Shannon wavelet method of natural boundary element of harmonic equation

自然边界积分方程仅存在容易计算的Cauchy主值积分。

In addition , the natural BIE only contains Cauchy principal value integrals .

无界区域上Stokes问题的自然边界元与Mini元耦合法

The Coupling of Natural Boundary Element and Mini Element for the Stokes Problem on Unbounded Domains

二维Helmholtz方程外问题基于自然边界归化的非重叠型区域分解算法

The nonoverlapping DDM based on natural boundary reduction for 2-D exterior Helmholtz problem

四点法曲面造型的自然边界条件4C理论与企业营销实践

Natural Boundary Conditions of 4 - point Theory for Surface Design

为避免图像噪声和自然边界不连续造成的提取误差，使用Bayes分类进行二次精细分割加以修正。

To decrease extraction errors made by image noise and natural boundary incontinuity , authors make an accurate multi-segmentation with Bayes classification technique to revise the result .

利用自然边界归化求解平面弹性方程外边值问题的SCHWARZ算法

A Schwarz method for solving the exterior boundary value problem of plane elasticity equation by using natural boundary reduction

边界元法分析中的边界切向应力差分算法无界区域上Stokes问题的自然边界元与Mini元耦合法

DIFFERENCE METHOD FOR SOLVING THE TANGENTIAL STRESS AT THE BOUNDARY BY BEM The Coupling of Natural Boundary Element and Mini Element for the Stokes Problem on Unbounded Domains

本文采用Galerkin直接解法，首先选取满足自然边界条件的试函数，而后求出了系统固有频率的近似解析公式，同时也得到了极限流速的近似解析公式。

Galerkin direct method is employed . First , test functions satisfyed natural boundary conditions are selected . Then approximate analytic formulations of system frequency are derived .

特别地，对称随机Taylor级数，随机Dirichlet级数，随机罗朗级数等的收敛边界几乎必然是自然边界。

Especially , for symmetric random Taylor series , random Dirichlet series , random Laurent series and so on , the boundaries of convergence of these series are natural boundaries .

在球近似下将GPS-边值问题转化为Neumann外问题，用自然边界元法进行自然边界归化，得到自然边界积分方程，再求自然边界积分方程的数值解。

In sphere approximate , GPS / Gravity-BVP is Neumann problem over exterior spherical domains . Then the natural boundary reduction , suggested by Feng and Yu , is applied to deal with the three dimensional problems .

首先，通过引入一个圆形人工边界，提出一种新的有限元和自然边界元（FEM-BEM）耦合框架，并证明离散耦合问题解的存在唯一性。

First of all , we present a new coupling framework of finite element and natural boundary element ( FEM-BEM ) by introducing a circular artificial boundary , and prove the existence and uniqueness of the solution of the discrete coupled problem .

最后两个积分对应于自然边界条件。

The last two integrals correspond to the natural boundary conditions .

关于自然边界小波元刚度矩阵的条件数

On the Condition Number of Natural Boundary Wavelet Element Stiffness Matrix

大地测量混合边值问题的自然边界元解法

Natural Boundary Element Method for the Geodetic Mixed Boundary Value Problems

自然边界元与有限元的耦合及其应用

Coupling Method Between Natural Boundary Element and Finite Element and Its Application

抛物方程基于自然边界归化的耦合法

The coupled method based on the natural boundary reduction for parabolic equation

基于自然边界归化的非重叠型区域分解算法

Non-overlapping Domain Decomposition Method Based on the Natural Boundary Reduction

带裂纹方形截面杆扭转问题的自然边界元与有限元耦合法

The Coupling Method for Torsion Problem of the Square Cross-Section Bar With Cracks

椭圆外区域上的自然边界元法

The natural boundary element method for exterior elliptic domain

曲边有限元和自然边界元求解外边值问题的耦合法

A coupling method of curved FEM and natural BEM for solving the exterior problem

边界类型方案包括自然边界型、技术经济边界型和混合边界型；

It can he subdivided further into natural , technical-economic and mixed boundary types ;

椭球体的封头，椭圆封头凹角型区域椭圆边值问题的自然边界归化

The natural boundary reduction for some elliptic boundary value problems with concave angle domains

解一类半线性外边值问题的自然边界元与有限元耦合法

The coupling of natural boundary element and finite element for Semilinear Boundary Value Problems

自然边界积分方程及相关计算方法

Natural Boundary Integral Equations and Related Computational Methods

白皎矿区岩体应力场研究圆形巷道围岩应力场的自然边界元法

Natural boundary element method for the stress field of circular roadway 's surrounding rock

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 .

椭圆外区域各向异性问题的一种数值解法各向异性抛物外问题的自然边界元法

Natural boundary element method for a kind of anisotropic parabolic problem in an exterior domain

椭圆外无穷扇形区域边值问题的自然边界元法

Natural Boundary Element Method for Boundary Value Problem in an Exterior Elliptic Infinite Sector Domain