我们在第二章中构造了求解用旋转Q_1有限元离散椭圆型偏微分方程的区域分解方法。
In the second chapter, we present an additive Schwarz preconditioner for the rotated Q_1 finite element discretization of second order elliptic problem.
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.
本文研究了系数为强单调算子的椭圆型偏微分方程，得到了解的梯度的几乎处处收敛性。
In this paper, we study the elliptic partial differential Cquation whose coefficients are strongly monotony operators, and obtain the everywhere convergence of the gradients of solutions.
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.
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.
讨论了椭圆型偏微分方程内边界问题的数值逼近。
It is discussed that the numerical approximation of interface problems for elliptic partial differential equations.
自适应网格法是80年代兴起的通过求解椭圆型方程的边值问题来数值生成网格的一种新方法。它是在任意形状的区域上求偏微分方程的数值解的一种非常有效的工具。
Adaptive mesh method which raises in 80's is a new method to numerical generate grid by solving a boundary value problem of elliptic equation.
详细推导了在极坐标系下的谱元方法的具体计算公式，求解了极坐标系下的简单椭圆型二阶偏微分方程；
The formulas of the spectral element method in polar coordinate are induced and described in detail. Spectral element method is a high-order weighted residual technique.
详细推导了在极坐标系下的谱元方法的具体计算公式，求解了极坐标系下的简单椭圆型二阶偏微分方程；
The formulas of the spectral element method in polar coordinate are induced and described in detail. Spectral element method is a high-order weighted residual technique.
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