In chapter 4, for 2d nonlinear convection-dominated diffusion equation, a two-grid scheme of characteristic finite-element solution is constructed.
第四章里，对二维非线性对流扩散方程，构造了特征有限元的两重网格算法，并给出了相应的收敛性分析，数值例子。
Due to high computing precision and processing arbitrary structure shape, finite element method (FEM) can become proper method to solution this problem.
具有较高计算精度并能够处理任意结构形状的有限元素法可作为求解该问题的合适的方法。
In this thesis, the Finite Element Method is applied to the solution of the Laplace equation formulated by means of stream function for the calculation of the static hydraulic thrust.
本文通过有限元法求解用流函数表示的拉普拉斯方程，进而计算轴流式机组的静态轴向水推力。
Find a solution to convert solid model into finite element model and update model synchronize.
解决了三维实体模型到有限元模型的转化以及模型同步更新的问题。
The common hypotheses of the shell structure aren't alterative in the new finite element method and it finishes the solution through the integral of the different laminas.
新单元的计算方法不改变壳体结构的一般假设条件，利用厚度方向分段积分来完成问题的求解，并对层合截锥壳进行计算。
On the basis of the finite element solution to elastodynamic problems, we propose a new method of finite element elastic wave migration.
本文在弹性动力学问题的有限单元解的基础上，提出了一种弹性波偏移的新方法——有限单元法弹性波偏移。
The coherence between the computing results with the finite element solution shows the method in the paper is reliable.
其结果与有限元精确解的一致性表明文中方法是可靠的。
The predicted critical buckling temperature and buckling modes for a simple model by using the beam elements are in good agreement with the finite shell element solution by ANSYS.
简单梁模型算例表明：该方法求得的各阶屈曲温度临界值和屈曲模态与AN SY S薄壳有限元解吻合较好；
A new approximate iterative approach, QDA method, for the steady solution of flexible mechanism is put forward, based on the finite element analysis on the distributed parameter model.
在以分布质量为模型的仃限元分析基础，上提出了一种用以求解弹性机构稳态解的新的迭代近似方法（QDA方法）。
This paper used the finite element method to compute the temperature field, and combined finite element with analytic solution to develop a calculation of thermal stresses.
本文采用有限元数值分析方法计算多层圆管的温度场，并把解析解与有限元相结合，提出一种求解其热应力的计算方法。
Establishment of a finite element mathematical model for the flow, its numerical solution, the associated computer program and the application are presented in detail.
较为详细地论述了水平井油-水两相渗流数学模型的建立，数值求解方法以及模拟计算机软件的研制和应用。
On the basis of non linear finite element method, fundamental equation and solution of pneumatic membrane structure finite element analysis are put forward.
以非线性有限元法为基础，提出充气薄膜结构有限元分析的基本方程及解法。
And then, the solution method of nonlinear equations and the computing formats of rubber-typed materials by finite element method were given.
然后给出了橡胶类材料的有限元计算格式及非线性方程组的解法。
The text describe the theory of the finite element method, the cell dividing and constructing interpolation function, the forming and solution of finite element method equation.
研究了有限元方法的原理，单元剖分及构造插值函数，有限元方程的形成和解法。
The error and solution bringing from finite element disperse are expatiated.
阐述了有限元离散带来的误差和解决办法。
The finite element method suits specially in the solution of complex geometry structure and the inhomogeneous medium electromagnetic problem.
有限元法特别适合于解决复杂几何结构和非均匀媒质的电磁问题。
In this paper, a general method of three dimensional vector potential solution for nonlinear magnetostatic field problem by means of the finite tetrahedral element method is presented.
本文给出了用有限四面体单元计算三维非线性恒定磁场的一般过程。
The result shows seven-freedom unit finite element method has high precision to analyse simple beam of rectangular section, it can replace complex analytic solution.
说明采用七自由度单元的有限元法进行矩形截面简支梁的弯翘分析，有很高的精度，可以代替繁琐的解析解。
The discrete solution is stable for any combination of finite element spaces.
证明了有限元离散解对任意有限元空间的组合是稳定的。
According to the diffusibility of the photons transmission, numerical solution of photon transmission partial differential equation was deduced with finite element.
依据光子传输的扩散性，用有限元法导出光子传输扩散偏微分方程的数值解。
The fine scales solution in the variational multiscale finite element method, which can be acquired by analytical or numerical technique, has an important impact on the final numerical solution.
变分多尺度有限元方法中的细尺度解对数值解有着重要的影响，其可通过分析方法或数值方法求得。
The present finite element model and the series solution models are used to find the natural frequencies, vibration modes and buckling loads of the FGM plates.
利用本文之有限元素分析模式与级数解模式，与求解特征值与特征向量的方法，可以求得功能梯度板之自然振动频率、振动模态与挫屈负荷。
The instability criterion of iteration non-convergence of finite element numerical solution is suitable for stability analysis of embankment under surcharge and multi-stage embankment.
有限元数值计算迭代不收敛判据适用于车辆荷载下的路堤及多级路堤的稳定性分析。
The establishment of variation-principle is of benefit to deriving the finite element method or semi-analytical solution to the cylindrical shell static-dynamical problems of piezoelectric materials.
变分原理的建立将有利于压电材料圆柱壳静力学和动力学问题的有限元方法或半解析法的推导。
This paper discusses the numerical stability and time step criterion for the finite element solution of viscoelastic problems.
本文讨论粘弹性问题用有限元求解时的数值稳定性及步长判据。
According to the finite element analysis of heat conduction with phase-change by using the enthalpy, an effective numerical method to eliminate the solution of iteration is presented.
通过对采用热焓处理相变导热问题的有限元分析，提出了消除迭代求解的一种有效算法。
It is proved that the stiffness matrix of the finite element solution is a block diagonal matrix and its elements are some symmetric and block circulant submatrices.
证明了有限元求解的刚度矩阵是一个块对角阵，且其子矩阵是某种对称、块循环矩阵。
In this paper, four methods for local error estimation in finite element solution are described and analyzed.
本文分析了四种基于局部量计算的恒定磁场后验误差估计方法。
In this paper, four methods for local error estimation in finite element solution are described and analyzed.
本文分析了四种基于局部量计算的恒定磁场后验误差估计方法。
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