In the second chapter, we present an additive Schwarz preconditioner for the rotated Q_1 finite element discretization of second order elliptic problem.
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。
The second order elliptic problem is studied by using conforming finite element and nonconforming finite element in the different parts of the area respectively.
在区域的两个不同部分分别采用协调元和非协调元来研究二阶椭圆问题。
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.
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。
In this paper, we consider a quadratic Lagrangian finite element equation arising from discretizations of 3d elliptic problem with jump coefficients under any tetrahedral partition.
本文针对带有间断系数的三维椭圆问题，讨论任意四面体剖分下的二次拉格朗日有限元方程的代数多重网格法。
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.
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。
The obstacle problem is the typical example of the elliptic variational inequality of the first kind.
薄膜障碍问题是第一类椭圆型变分不等式的代表性模型。
All of their security is based on elliptic curve discrete logarithm problem.
它们的安全性都是基于椭圆曲线离散对数问题。
Elliptic curve public key can be used to relax the bottleneck problem that is large computation in tradition public key system.
椭圆曲线公钥系统可以缓解传统公钥系统中大计算复杂度的瓶颈问题。
Both of their security are based on the intractability of elliptic curve discrete logarithm problem.
两种方案的安全性都是基于椭圆曲线离散对数问题的难解性。
This paper describes the mathematics base of algebraic geometry and ECC. It also discusses the elliptic curve discrete logarithm problem (ECDLP) and the security applications of ECC on E-commerce.
该文描述了代数几何与ecc的数学基础及椭圆曲线离散对数问题困难性，讨论了ECC在电子商务中的安全应用。
Against the problem of SSL protocol based on RSA system, an extension to SSL protocol based on elliptic curve cryptosystem is proposed in this paper.
针对基于RSA公钥体制的SSL协议在安全性和效率方面存在的问题，提出了基于椭圆曲线的SSL协议扩展。
The article deals with the discontinuous boundary value problem for nonlinear elliptic complex 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 algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.
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 theory and its application in practice yield a better combination, as is shown by experiment, and the theory can settle the problem of elliptic steam restrain twist.
经实验检验，理论值与实验值能较好吻合，表明该理论也可用于解决椭圆等直杆的约束扭转问题。
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.
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。
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.
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。
Some triangular elements are considered to solve the two-dimensional and second-order elliptic boundary value problem on a class of anisotropic meshes (we call them GATM).
本文主要考虑在一类各向异性网格(我们称之为gatm)下用一些三角形单元逼近二维空间中二阶椭圆边值问题。
Eigenvalue problem of a class of elliptic operators is studied.
研究了一类椭圆型算子的特征值问题。
The singularly perturbed elliptic equation boundary value problem with turning point is considered.
本文讨论了具有转向点的奇摄动椭圆型方程边值问题。
In this paper, a pipelining approach for elliptic curve cryptography is proposed to solve the problem of low efficiency in sequential implementation.
提出了一种基于椭圆曲线的流水线实现方法，来解决串行计算的效率低下问题。
However, because this problem involves elliptic integrals, generally not possessing symmetry of a uniformly charged ring, it is difficult to solve and discuss it.
但是，由于涉及椭圆积分，一般又不具有均匀电荷环空间势分布的对称性，求解和讨论是比较困难的。
In this paper, we investigate the natural boundary element method for the boundary value problem of harmonic equation in an exterior elliptic infinite sector domain.
研究了椭圆外无穷扇形区域上调和方程边值问题的自然边界元法。
Discussion on the problem may help us to master the method solving this kind of the physics problem of elliptic integrals.
问题的讨论有助于我们掌握解决涉及椭圆积分物理学问题的方法。
This paper deals with general initial irregular oblique derivative boundary value problem for elliptic parabolic complex equations of second order in a multiply connected cylindric region.
讨论多连通柱体区域上二阶椭圆-物型方程的一般初非正则斜微商边值问题。
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.
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。
This paper discusses the stability of solution of the oblique derivative problem for the nonlinear elliptic system of first order equations.
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 presents the optimal linewise control problem of the system governed by elliptic partial differential equations from the osmotic problem for the basis of concrete dam.
本文从混凝土坝基渗流控制问题中抽象出由椭圆偏微分方程混杂问题所支配的系统的最优线态控制问题 。
This paper discusses Xia's achievements on the integral problem about quadratic curve, some of which were similar to modern elliptic integral and surpassed the level of Dai-wei-ji.
夏鸾翔是晚清较早研究微积分的中算家，据其《致曲术》、《万象一原》，可知他在二次曲线求积问题上得到了比较全面的成果，有的已超过《代微积拾级》，某些成果近似近代的椭圆积分。
This paper discusses Xia's achievements on the integral problem about quadratic curve, some of which were similar to modern elliptic integral and surpassed the level of Dai-wei-ji.
夏鸾翔是晚清较早研究微积分的中算家，据其《致曲术》、《万象一原》，可知他在二次曲线求积问题上得到了比较全面的成果，有的已超过《代微积拾级》，某些成果近似近代的椭圆积分。
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