By making use of variational methods, we obtain two positive solutions ofp ( x)-Laplace equation, which generlizes the corresponding relusts of Laplace equation. 利用凸性分析方法,在方程具有边界条件和正初始能量情况下得到整体解不存在的充分条件。
To solve LAPLACE equation, 8-nod cubic unit and appropriate function were applied to discrete the structure surface and its environment. 使用8节点立方体和合适的形状函数对构筑物表层和周围场域进行了离散。
With the thought of "perturbation", this paper analyes the solution of Laplace equation for poles having irregular boundary. 研究电极的位移形变所产生的误差时,需要在不规则边界条件下求解拉普拉斯方程。
The high-order boundary conditions for the problems of Laplace equation in infinite region hare been developed. 对无限域Laplace方程问题,推导出了高阶边界条件。
The numerical manifold method of Laplace equation was presented, it was also more general than the minimum potential energy principle to obtain the governing equations of the NMM. 本文研究了如何从加权残数法出发建立拉普拉斯方程数值流形方法的求解方程。
Modified Tikhonov Regularization Method for the Cauchy Problem of the Laplace Equation Laplace方程Cauchy问题的修正Tikhonov正则化方法
Solving the general Laplace equation boundary value problems by improved BEM 用改进边界元法求解广义拉氏方程边值问题
After that, setting out by Laplace Equation and basic equation of elasticity mechanics, the connection between Integral Equation and Method of Weighted Residuals are discussed. 本文还从Laplace方程和弹性力学基本方程出发讨论了积分方程和加权残值法的关系。
In order to solve the problem, boundary element numerical method for steady percolation Laplace equation and Poisson equation is derived. 为解决这一问题,推导出稳定渗流Laplace方程和Poisson方程的边界元数模解法;
This note gives the representation of regular solution to the Dirichlet problem for Laplace equation on some unbounded domains. 对几个特殊的无界区域,给出了Laplace方程Dirichlet问题正规解的表达式。
Laplace equation is solved by FEM in calculation domain. 在计算域内用有限元法解Laplace方程。
At first, the relaxed iterative Schwarz alternating method based on the Laplace equation is discussed. 论文首先阐述了基于Laplace方程的松弛迭代Schwarz交替法。
In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences converges uniformly to extremal solutions of second order functional differential equation and Laplace equation with Neumann boundary value conditions. 本论文主要利用上下解和单调迭代法,研究了下面的带有Neumann边界条件的二阶泛函微分方程和φ-Laplace方程在上下解反序条件下,解的存在性条件。
In this paper, the finite element dual hybrid model, taking the Laplace equation for example, is presented. 本文以Laplace方程为例,介绍了有限元杂交应力模型。
In this paper The exact Coefficients of The Finite analytical solution of Laplace and Poisson equation and The FAS of Laplace equation is given. 本文给出三维Laplace方程及Poisson方程有限分析解的正确系数值,并与陈景仁给出的系数值进行了比较。
This model can be described as a Laplace equation with the second boundary condition. 该模型可表述为Laplace方程的第二边值问题。
In this paper, the fully nonlinear water wave problems in open sea and in numerical wave tank are investigated on the basis of three-dimensional Laplace equation by a time-domain method. 本文以三维拉普拉斯方程作为基本控制方程,应用完全非线性时域理论,对开敞水域内结构物强迫运动水波问题和数值波浪水槽问题进行了理论研究和数值模拟。
Exact Integration of the linear Element of Laplace Equation In Boundary Element Method 三维Laplace方程边界元中线性单元的精确积分法
In this paper a method for deriving the corresponding finite difference equation in the rectangular coordinate system from the finite difference approximation to Laplace equation in the general orthogonal curvilinear coordinate system has been described. 本文从普遍的正交曲线坐标系中的拉普拉斯(Laplace)差分方程出发,导出了直角坐标系中的差分方程;
The meaning of Laplace equation in the electrostatic field was introduced in this paper. 主要阐述了Laplace方程在静电场中的意义。
In this paper, the boundary problem of Laplace equation is changed into the variational equation which is equivalent to the boundary integral equation. Using linear element, it is solved by Galerkin boundary element method. 本文把Laplace方程的边值问题转化为边界积分方程后,通过与边界积分方程等价的变分形式,采用线性单元,利用Galerkin边界元方法求解。
A boundary element method for Laplace equation in three dimensions 三维Laplace方程的边界元方法及其收敛性分析
Alternating iteration method for solving the Laplace equation 求解Laplace方程的交替迭代法
This paper is based on two dimensions Laplace equation and boundary condition, obtains the integral equation after Green transformation; 本文基于二维Laplace方程和边界条件,经过Green积分转换得到以势函数和势函数法向导数为未知量的积分方程;
Preliminary numerical results for the Laplace equation and Navier system are presented, and tricky issues associated with these methods, such as the ill-conditioning with the interpolation matrix and effect of shape parameter, are investigated. 文中给出了Laplace方程和Navier方程组的数值结果,考察了插值矩阵的病态性以及径向基函数中形参数的影响。
A Finite Element Solution to Laplace Equation and some Applications Laplace方程的有限元解法及应用
In this paper, from the viewpoint of optimality analysis, we consider three classical inverse boundary value problems: the inverse heat conduction problem, backward heat conduction problem and Cauchy problem for Laplace equation. 本文从最优性分析的角度考虑了三类经典的逆边值问题,即逆热传导问题、反向热传导问题、Laplace方程Cauchy问题。
Steady problems in engineering can be attributed to the Laplace equation which belongs to elliptic partial differential equations. 工程中有许多稳定场的问题都可以归结到求解Laplace方程这一椭圆型偏微分方程的问题。
Introducing the fundamental solution of Laplace equation, we develop the boundary integral equations for the optimality system. 引进二维Laplace方程的基本解,导出最优性系统的边界积分方程。