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.
探讨了如何求解线性温变和点热源作用下椭圆夹杂问题的温度函数。
The temperature field for the problem of an elliptical inclusion under a linear temperature change or a point heat source is provided.
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.
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.
本文利用摄动方法和上下解方法，讨论了一类奇异非线性椭圆边值问题，它具有很好的应用背景和理论意义。
In this paper, a singular nonlinear elliptic boundary value problem which is very important in applied science and pure theory was discussed by the method of perturbation, sub-and super-solution.
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.
本文主要以椭圆曲线上的双线性对技术为基本贯穿线索，对分布式密码系统及相关问题做了系统研究，重点探讨几类分布式密码系统的关键技术和协议。
The thread followed in this paper is to discuss the bilinear paring on the elliptic curve and it usages for the study on distributed cryptosystem and its related problems systematically.
利用临界点理论，研究了一类含有渐近线性项和奇异项的半线性椭圆方程的边值问题。
According to the critical point theory, a class of problems of elliptic boundary value with an asymptotically linear term and singular term is studied.
考虑了二维奇异线性及半线性椭圆和抛物问题的有限元方法，给出加权L2 模的误差估计。
The finite element methods of a class of singular linear and semilinear elliptic and parabolic problems are considered and the error estimates in weighted L2 norm are derived.
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.
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.
本文利用连续性方法，得到了一类半线性椭圆方程第一边值问题在环形域上任向对称正解的存在性。
In this paper, We study American option pricing by using the continuity algorithm for linear complementarity Problem.
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.
用临界点理论中的极小极大方法得到了次线性椭圆方程Neumann问题多重解的存在性。
The existence of multiple solutions is obtained for Neumann problem of sublinear elliptic equations by the minimax methods in the critical point theory.
本文研究一类拟线性椭圆—抛物型方程，具有非线性边值条件的奇异摄动问题。
In this paper, we consider singularity perturbed problem for a kind of quasilinear elliptic-parabolic type equation with nonlinear boundary value conditions.
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;
另一方面，采用传统迭代子和共轭梯度法作为光滑子，我们证明了瀑布型多重网格法对一、二维非线性椭圆边值问题，在能量范数下，均可获得最优收敛阶。
Onthe other hand, with traditional iterations and the conjugate gradient(CG) as smoothers, we can show the optimal convergence rate of the cascadic method in energy norm for 1-D and 2-D cases.
另一方面，采用传统迭代子和共轭梯度法作为光滑子，我们证明了瀑布型多重网格法对一、二维非线性椭圆边值问题，在能量范数下，均可获得最优收敛阶。
Onthe other hand, with traditional iterations and the conjugate gradient(CG) as smoothers, we can show the optimal convergence rate of the cascadic method in energy norm for 1-D and 2-D cases.
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