椭圆型偏微分方程

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。

Steady problems in engineering can be attributed to the Laplace equation which belongs to elliptic partial differential equations .

椭圆型偏微分方程的加法Schwarz方法

Additive Schwarz method for elliptic partial differential equation

用快速自适应组合网格方法（FAC）求解二阶椭圆型偏微分方程

On the computational aspects of the fast adaptive composite grid method for solving second order elliptic equations

讨论了由椭圆型偏微分方程组Dirichlet问题所支配的系统，给出了最优边界控制的最优性组。

The system governed by elliptic partical differental equations with Dirichlet conditions is discussed and the optimum system of the boundary control is given .

一类常系数二阶椭圆型偏微分方程组Dirichlet问题解唯一的充分必要条件

On the Necessary and Sufficient Conditions of the Uniqueness of the Solution of the Dirichlet Problem for a Class of Elliptic Partial Differential Systems of Second Order with Constant Coefficients

讨论了用小波插值Galerkin方法（WIGM）求解椭圆型偏微分方程，特别是求解区域不规则时的问题。

A Wavelet Interpolating Galerkin Method ( WIGM ) for elliptic partial differential equations , especially in irregular regions , is considered .

一类椭圆型偏微分方程边值问题的MRM-BEM分析

The Mrm-Bem Analysis of a Kind of Elliptic Partial Differential Equation Boundary Value Problem

将用于求解椭圆型偏微分方程边值问题的基本解方法应用于求解一个三维线弹性反问题，即Navier方程组的Cauchy问题。

The application of the method of fundamental solutions is considered for the numerical solution to a three-dimensional inverse problem in linear elasticity , i. e. , the Cauchy problem associated with the Navier system .

关于某些抛物型和椭圆型偏微分方程的混合边界问题的解被表示为一类联系于Ito正向反射边界随机微分方程的反向随机微分方程的解。

Solutions of quasilinear mixed boundary problems for the same parabolic and elliptic partial differential equations are interpreted as solutions of a kind of backward stochastic differential equations , which are associated with the classical Ito forward stochastic differential equations with reflecting boundary conditions .

本文对二维椭圆型偏微分方程的Neumann边值问题给出了边界元解法，就一般情形详细地进行了误差分析，并得到了最佳估计。

This paper presents boundary element methods for the solution of elliptic partial differential equation with Neumann boundary problem in R ~ 2 . Total details of error analysis are given for general condition , and optimal estimates are obtained .

漂移网格上增量未知元方法求解椭圆型偏微分方程

Incremental Unknowns Methods on Floated Grid for Solving Linear Elliptic PDEs

二阶椭圆型偏微分方程有限分析解法的精度研究

The Accuracy Research for the Finite Analytic Method of Ellipse-type Differential Equations

一类二阶椭圆型偏微分方程解的先验估计

One Prior Estimate for Solution of a Second-order Elliptic Partial Differential Equation

二维椭圆型偏微分方程的反源问题

Inverse source problem of two-dimensional elliptic partial differential equations

奇摄动四阶椭圆型偏微分方程

Singularly perturbed elliptic partial differential equations of fourth order

求解椭圆型偏微分方程边值问题的无网格伽辽金方法

Element free Galerkin method for solving boundary value problems for elliptic partial differential equations

一类非线性椭圆型偏微分方程有限元近似的渐近展开与外推

Asymptotic expansion and extrapolation for the finite element approximation of Nonlinear Elliptic Partial Differential Equations

利用求解椭圆型偏微分方程组来数值生成贴体的计算网格。

The body-fitted computational grid is generated by the solution of an elliptic equation system .

高阶椭圆型偏微分方程奇异摄动问题一致收敛差分格式

A Uniformly Convergent Difference Scheme for the Singular Perturbation Problem of a High Order Elliptic Differential Equation

传统的网格生成方法需求解一组非线性的椭圆型偏微分方程；

Traditional techniques solve a set o f nonlinear elliptical equations to generate this kind of grid .

某些不具紧性的二阶椭圆型偏微分方程

Some Semilinear Elliptic Equations without Compactness ; One Prior Estimate for Solution of a Second-order Elliptic Partial Differential Equation

结果为有限分析法解工程椭圆型偏微分方程问题，在解法精度上提供了保障。

The result is very meaningful for the accuracy of the finite analytic numerical solution for ellipse-type partial differential equations .

三维椭圆型偏微分方程边值问题的边界积分-微分方程及其边界元解法

Boundary integral-differential equation and boundary element method for boundary value problems of a partial differential equation of elliptic type in 3-D

给出了一种用曲线坐标求解椭圆型偏微分方程自由边值问题的数值解法；

A numerical method is proposed for solving free boundary problems of elliptic partial differential equations in terms of curve coordinates .

通过引入静电场的标量位函数，将电场强度的矢量泊松方程转化为位势的椭圆型偏微分方程的诺依曼边值问题。

And the problem is converted to the typical Neumann boundary value problem for the elliptic equations by inducing the scalar potential function .

数值实验表明，径向基函数配置点方法与正则化方法耦合能有效求解椭圆型偏微分方程反问题。

It is concluded that the radial basis function collocation techniques coupled with regularization methods could be competitive alternatives to existing methods for these problems .

该文对二阶椭圆型偏微分方程在有限分析单元上，求离散分析解的方法进行了研究。

This paper studies the analytical solution method in discrete elements with finite analytic ( FA ) method for second order elliptic partial differential equations .

研究一类最优控制问题的求解方法，其状态变量是某一种椭圆型偏微分方程的弱解。

The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied .

本文用有限元方法研究椭圆型偏微分方程奇异摄动问题。

By applying finite element method , this paper discussed a singular perturbation problem of elliptic partial differential equation , and constructed a special finite element subspace .

概率理论和分析数学之间的联系和影响是深刻的，其中扩散过程和二阶椭圆型偏微分方程之间的相互作用就是引人注目的例子之一。

The relationship and interplay between probability theory and analysis is remarkable , for example , the connections between diffusion processes and second-order elliptic partial differential equations .