本文用分片线性元离散椭圆型问题。用预处理共轭梯度法求解有限元方程。
In this paper, the elliptic problems are discreted by linear elements, the finite element system are solved by PCG method.
文末给出了应用虚拟区域法得到的线性椭圆型问题、绕固定圆柱二维定常流动的数值结果，并与贴体网格上的结果或实验结果进行了比较以验证数值方法。
Finally, we present the numerical results of a linear elliptic problem and flows around a fixed disk, and the comparison with body-fitted mesh results or experimental data.
针对求一类特殊的椭圆型问题在任意点的数值解问题，本文在把有限元方法与蒙特卡罗方法相结合的基础上提出了一种新的高效蒙特卡罗算法，并用算例说明了该方法的优越性。
For a special elliptic problem, a new effective Monte-Carlo method is obtained in this paper, which put FEM and Monte-Carlo method together. Lastly, some numerical examples are given.
采用完全变换法施加本质边界条件，给出求解椭圆型边值问题的无网格伽辽金方法。
The full transformation method is used in element-free Galerkin method for solving the elliptic boundary value problems.
薄膜障碍问题是第一类椭圆型变分不等式的代表性模型。
The obstacle problem is the typical example of the elliptic variational inequality of the first kind.
利用多重网格法的思想，构造出一种求解椭圆型方程边值问题的预处理迭代格式，并给出了收敛性证明。
By use of multigrid method, this paper proposes a preconditioned iteration method solving the boundary value problem of elliptic equations, the proof of convergence is given.
研究了一类椭圆型算子的特征值问题。
Eigenvalue problem of a class of elliptic operators is studied.
本文讨论了具有转向点的奇摄动椭圆型方程边值问题。
The singularly perturbed elliptic equation boundary value problem with turning point is considered.
本文研究了一类具有非局部边界条件的奇摄动半线性椭圆型方程边值问题。
A class of initial boundary value problems for the singularly perturbed semilinear elliptic equations with nonlocal boundary conditions are considered.
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
The article deals with the discontinuous boundary value problem for nonlinear elliptic complex equations of second order.
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.
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.
先给出这些问题的提法，然后使用列紧性原理和极值原理证明了上述二阶椭圆型方程边值解的存在性和唯一性。
Fristly the boundary value problems for the equations is formulated, and then by using the compactness principle, the existence of solutions for the above problems is proved.
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.
本文研究了一个半线性椭圆型方程正整体解的存在性问题。
In this paper we study the existence of positive global solutions for a semilinear elliptic equation.
本文讨论一类变系数带临界指数的椭圆型方程，主要考虑上述问题的非平凡解的存在性，包括多解与非存在性。
In this paper, we study the existence of multiple nontrivial solutions for the variable coefficient elliptic equations with critical Sobolev exponents.
研究在外部区域中拟线性椭圆型方程，具有非线性边界条件的边值问题。
This paper aims at studying the boundary value for second order quasilinear elliptic equations with nonlinear boundary condition in exterior domain.
多重网格法是求解椭圆型方程边值问题的一种快速迭代算法。
The multigrid method is an efficient numerical iteration algorithm for solving elliptic variational problems.
这些结果能用来研究椭圆型方程组边值问题径向对称解的存在性。
These results can be applied to the study of the existence of the radial solutions for the elliptic boundary value systems.
文章主要建立了四类四阶半线性椭圆型方程解的极大值原理，并得到了相应边值问题的解的唯一性定理。
In this paper, the maximum principles for solutions of four classes of semi-linear ellipic equations are established.
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.
本文中，我们提出了一个具有两种临界指数的非线性椭圆型方程问题，证明了狄氏问题的正径向解的存在性。
In this paper a problem of nonlinear elliptic equations involving two kinds of critical exponents is given, and also the existence of positive radiate solutions of the Dirichet problem is proved.
讨论了一阶非线性椭圆型方程组斜微商问题解的稳定性，这个结果是借助于有关边值问题解的先验估计而导出的。
This paper discusses the stability of solution of the oblique derivative problem for the nonlinear elliptic system of first order equations.
文章主要建立了四类四阶半线性椭圆型方程解的极大值原理，并得到了相应边值问题的解的唯一性定理。
The result that the blow-up set of the problem is a compact subset was proved by the reflective principle and the maximum principle, and the blow-up rate of the solutions was obtained.
建立非线往退缩椭圆型方程的比较原理并给出方程组边值问题耦合弱拟解的存在性定理。
A comparison principle for nonlinear degenerate elliptic equation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given.
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.
本文讨论了Rn上椭圆型特征值问题，给出了正特征函数存在和惟一的充分必要条件。
The existence and uniqueness of positive eigenfunctions for some elliptic eigenvalue systems in Rn was considered.
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
The method of the composition of some linear equations of second order;
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
The method of the composition of some linear equations of second order;
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