该方法通过赫兹问题验证，有限元解与精确解吻合较好。
The method has been examined by applying it to the Hertz problem.
描述了适用于岩石力学与工程问题有限元解的多重网格算法。
A multigrid algorithm is described in this paper, which can be used to obtain the finite element solution of rock mechanics and engineering problems.
因而如何提高有限元解导数的精度成为近年来有限元研究的热点之一。
To improve the accuracy of the derivative of the finite element solution became one of the most important research subject recently.
进而，我们利用超逼近分析技术得到了有限元解关于L2 -模的最优估计。
Secondly, by means of a superapproximation and interpolation postprocessing analysis technique, here we present optimal estimates and global superconvergence in the L2-norm for this method.
第二章中，给出了一类二阶拟线性方程广义有限元解的渐近展式和超收敛结果。
In chapter two, the asymptotic expansion and superconvergence result of a class of second order quasilinear equation in generalized finite element space is presented.
结果表明选择合适的单元，算法和材料模型可以获得与理论解一致的有限元解。
The results show that with suitable selection of element types, solution algorithms and material models the FEA results consistent with the theoretical solution are obtained.
给出了非均匀变截面刚架在任意谐振荷载和任意边界条件下的一个新的有限元解。
This paper shows a new finite element algorithen of the plane rigid-jointed frames of non-even variable section fo resonance on arbitrary boundary conditions.
用常规有限元和二次动态有限元解算了一个悬臂三角形弯曲板的前六阶固有频率。
The First six natural frequencies of a cantilevered triangular bending plate are calculated both by the conventional finite element and by the second order finite dynamic element.
用户现在可以控制在PWM分析的非线性有限元解的个数时的角度，大大加快解决方案。
The user can now control the number ofadvance angles for the non-linear FEA solutions in the PWM analysis, significantly speeding up solutions.
为此先推导离散格林函数的权模估计和有限元解的渐近不等式展开，然后给出公式的证明。
For this, we derive the weighted estimates for discreet Green function and the asymptotic error expansion inequalities, and then the proofs of the formulas are given.
进一步，对相应有限元解进行误差分析，得到其最优l 2模估计，数值实验验证了理论结果的正确性。
Furthermore, the optimal error estimates in the norm L2 are derived. Finally, Numerical experiment verifies the theoretical results.
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；
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.
本文讨论二维奇异非稳态问题的有限元方法，证明了弱解的存在唯一性，并给出有限元解的加权L2-模估计。
The existence and uniqueness of the solution to these problems with the use of FEM are proved and optimal error estimates in weighted L2-norm are given.
编制了基于弹性悬链线单元的斜拉索的非线性有限元分析程序，比较了斜拉索的悬链线解析解、抛物线解析解和基于弹性悬链线单元的有限元解的计算结果。
Nonlinear finite element program of stayed cable based on the elastic catenary element is programmed. The analytic analysis and finite element analysis of different stayed cables are compared.
为了解决舰船结构的振动噪声预报及其控制问题，以能量密度为变量，获得了薄板结构受激励产生弯曲振动时的能量密度控制方程，并得到了控制方程的有限元解。
To better forecast and control the structural vibration and noise of naval vessels and other kind of ships, the energy finite element method was introduced.
对电机的运行机理进行了分析，并利用有限元软件ANSYS分析了电机定子的振动特性和阻抗特性，同时提出了一种振子间解耦的方法。
The stator's characteristics of vibration and input impedance were analyzed by using the finite element software ANSYS. A new decoupling method between the two vibrators was presented.
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 coherence between the computing results with the finite element solution shows the method in the paper is reliable.
本文采用有限元法，分析和计算了有热解的再入烧蚀体的传热问题。
The finite element analysis and calculation of heat transfer in ablating bodies are presented.
而后，利用拟弹性叠加、双重迭代给出一种快速解弹塑性接触问题的有限元算法。
Then a finite element method for quickly solving elastoplastic contact problems is presented by using quasi-elastic summation and double-iteration.
然后采用通用的有限元程序ANSYS模拟模型得到其数值解。
To get numerical results, the general finite element program-ANSYS was employed to simulate model.
本文用有限元法来解圆弧瓦径向动压轴承的雷诺方程。
In this paper, finite element method is used to solve Reynolds' equation for hydrodynamic journal bearings.
本文用解析法和有限元法分析了连续多支承压杆的稳定性及其近似解与精确解。
This paper analyzes the stability of continuous and multi-support compressed pillars using analysing method and finite element method.
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。
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.
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 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.
每一个时间步长，用有限元方法解二维的拉普拉斯方程，求出箔上的电势分布。
For every time step, the two dimensional Laplace's equation is solved by a finite-element method, so the potential distribution over the foil is given.
证明了有限元离散解对任意有限元空间的组合是稳定的。
The discrete solution is stable for any combination of finite element spaces.
按照本理论已用梁有限元法求得数值解，结果还用模型试验作了检验。
From the theory presented, the numerical solutions were obtained by means of beam finite element method and the results were checked by model tests.
按照本理论已用梁有限元法求得数值解，结果还用模型试验作了检验。
From the theory presented, the numerical solutions were obtained by means of beam finite element method and the results were checked by model tests.
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