拉普拉斯方程

词组短语

Laplace equation · laplacian equation

与拉普拉斯方程相关的网络例句 [注：此内容来源于网络，仅供参考]

In this paper,current colorization algorithms are summarized and the principle of color propagation is analyzed.Then a colorization algorithm based on Laplace equation is proposed.

在总结现有图像彩色化方法的基础上，分析了彩色化由局部向全局扩展的本质，进而提出了一种通过求解拉普拉斯方程实现颜色扩展的彩色化方法。

Based on the ellipsoidal coordinates, we obtain the spacial distribution of electric potentials of a composite of a coated ellipsoid embedded in an infinite host via solving the Laplace equations and matching the boundary conditions. Meanwhile, we also obtain the partially resonant condition of the coated ellipsoid.

通过引入椭球坐标系，利用拉普拉斯方程及其边界条件，求出了带壳椭球颗粒镶嵌在无限大线性基质中的空间电势分布，并进一步得出了带壳椭球颗粒的部分共振条件。

The nonlinear equation of heat conduction is transformed into a Laplace′s equation by applying the Kirchhoff transformation ,and an analytic approximate solution of the equation is derived.

当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。

An instance was given by means of the numerical solution for the first boundary value inverse problem of Laplace's equation.

将直匀流绕物面作二维无旋不可压缩定常流动时的流函数表达为曲面后，利用流函数曲面控制边界与流曲线的对应关系，采用拉普拉斯方程第一边值逆问题的数值解法，提出了来流为直匀流的流曲线造型方法并给出了实例。

And the equations are solved coupling iteratively whith PCG method for Laplace equation and Gauss—Seidel method for convective equation.So the distribution of piezometric tube waterhead and saturation can be obtained.And the seepace free surface will be captured automatically according to the distribution of saturation with the concept of VOF.

分别对饱和区的拉普拉斯方程采用预处理共轭梯度法、非饱和区的对流方程采用Gauss—Seidel方法进行耦合迭代求解，得到渗流场的测压管水头分布和饱和度分布，并引入VOF的概念，由饱和度的分布自动扑捉渗流自由面。

Wave equation, heat conduction equation and Laplace's equation are the second-order linear equations.

波动方程、热传导方程和拉普拉斯方程都是二阶线性方程。

The control principle of electrostatic shaping was introduced according to the balance between electrostatic force and resulting force formed by membrane deformation and the complex shaping process of SMEC. Then, taking the trisection circularity electrode for an example, the distribution characteristic of electric potential in the electrostatic field was analyzed, namely, the expression of potential function in the electrostatic field was deduced by Laplacian equation. And then, by combining the difference equation with electric potential expression, the numerical solutions of electrostatic force in single electrode mode and trisection circularity electrode mode were disposed. Finally, the calculated figure was compared with the ideal paraboloid and comparison shows that more accuracy would be achieved by multi-electrode control.

根据静电力与薄膜变形载荷作用力之间的平衡关系和静电拉伸薄膜反射镜成形的复杂过程，介绍了薄膜反射镜静电成形的控制原理；以三等分环状电极为例，分析了静电场中空间电势分布特性，即从拉普拉斯方程推导出静态场势函数的表达式；然后，利用差分与电势方程结合的方法，对单电极电场力和三等分环状电极电场力进行了数值求解；最后，将计算面形与理想抛物面进行了比较，结果显示，单电极情况下得到的薄膜反射镜面形不是理想抛物面，若采用多电极控制可获得更高的控制精度。

The control principle of electrostatic shaping was introduced according to the balance between electrostatic force and resulting force formed by membrane deformation and the complex shaping process of SMEC. Then, taking the trisection circularity electrode for an example, the distribution characteristic of electric potential in the electrostatic field was analyzed, namely, the expression of potential function in the electrostatic field was deduced by Laplacian equation. And then, by combining the difference equation with electric potential expression, the numerical solutions of electrostatic force in single electrode mode and trisection circularity electrode mode were disposed.

根据静电力与薄膜变形载荷作用力之间的平衡关系和静电拉伸薄膜反射镜成形的复杂过程，介绍了薄膜反射镜静电成形的控制原理；以三等分环状电极为例，分析了静电场中空间电势分布特性，即从拉普拉斯方程推导出静态场势函数的表达式；然后，利用差分与电势方程结合的方法，对单电极电场力和三等分环状电极电场力进行了数值求解；最后，将计算面形与理想抛物面进行了比较，结果显示，单电极情况下得到的薄膜反射镜面形不是理想抛物面，若采用多电极控制可获得更高的控制精度。

Then the nonlinear electric polarization due to torsion is analyzed and the problems of electric field in torsional effect of piezoelectrics are converted into the inner and outer boundary value problems of partial differential equations according to the equivalent principle of electric field.

总结了压电晶体内部非线性极化的形成规律，利用电场的等效原理将这种非线性极化激发的电场的求解问题转化为等效极化电荷体系的电场问题，并归纳成泊松方程的内边值问题和拉普拉斯方程的外边值问题。

The saturation equals 1 in saturated region.The piezometric tube waterhead equals position head by neglecting the effect of capillarity in unsaturated region.So the nonlinear parabolic equation of seepage flow will degenerate to Laplace equation about piezometric tube waterhead in saturated region and convective equation about saturation in unsaturated region respectively.

将渗流域分为饱和区与非饱和区，为避免研究复杂的多相流问题，可以认为非饱和区是与大气相通的，则测压管水头中的压力与大气压相等，使测压管水头等于位置水头，从而渗流控制方程在两个区域中分别退化为关于测压管水头的拉普拉斯方程和关于饱和度的对流方程。

与拉普拉斯方程相关的网络解释 [注：此内容来源于网络，仅供参考]

Laplacescher Entwicklungssatz Laplace expansion of a determinant：行列式的拉普拉斯展开

Laplacesche Gleichung Laplace's Equation 拉普拉斯方程 | Laplacescher Entwicklungssatz Laplace expansion of a determinant 行列式的拉普拉斯展开 | Laplace-Verteilung Laplace distribution 拉普拉斯分布

Laplace hyperbolic equation：拉普拉斯双曲[型]方程

拉普拉斯逆变换|inverse Laplace transform | 拉普拉斯双曲[型]方程|Laplace hyperbolic equation | 拉普拉斯展开式|Laplace expansion

laplace distribution：拉普拉斯分布

laplace beltrami operator 拉普拉斯 贝尔特拉米算子 | laplace distribution 拉普拉斯分布 | laplace equation 拉普拉斯方程

Laplace equation：拉普拉斯方程

拉普拉斯方程 拉普拉斯方程(Laplace equation) 拉普拉斯方程表示液面曲率与液体压力之间的关系的公式. 一个弯曲的表面称为曲面,通常用相应的两个曲率半径来描述曲面,即在曲面上某点作垂直于表面的直线,再通过此线作一平面,此平面与曲面的截线为曲线,在

Solution of Laplace Equation：拉普拉斯方程的解

6,Direct Current Flow Field 直流流场 | 7,Solution of Laplace Equation 拉普拉斯方程的解 | 8,Direct Current Field Related Potential Problems 直流场相关的势问题

Laplace harmonic equation：拉普拉斯调和方程

拉普拉斯变换法|method of Laplace transformation | 拉普拉斯调和方程|Laplace harmonic equation | 拉普拉斯分布|Laplace distribution

Laplace expansion：拉普拉斯展开

laplace equation 拉普拉斯方程 | laplace expansion 拉普拉斯展开 | laplace expansion theorem 拉普拉斯展开定理

Laplace transform：拉普拉斯转换

且包括牛顿时代就已浮现的反常与均差. 同样有名的是(机率的解析理论)(I8I2). 将此主题向前推进了一大步. 拉普拉斯的特殊贡献包括位能概念的发展以及相关的"拉普拉斯方程(*Laplace's equation)、"拉普拉斯转换"(Laplace transform)以及天文学上的星云说.

laplacian equation：拉普拉斯方程

laplacian 拉普拉斯算子 | laplacian equation 拉普拉斯方程 | large sample analysis 大样本分析

Laplace-Operator laplacian; Laplace operator：拉普拉斯算子

Landau-Symbol Landau symbol 兰道记号 | Laplace-Operator laplacian; Laplace operator 拉普拉斯算子 | Laplacesche Gleichung Laplace's Equation 拉普拉斯方程