The finite element method does not exhaust the possibilities for variational methods.
有限单元法不能排除变分法。
Variational methods can offer strong frameworks to correctly formulate image processing problems.
这为图像处理提供了一种强大的数学框架。
In less than 100 pages, this book covers the main vector variational methods developed to solve nonlinear elasticity problems.
在不到100页，这本书涵盖了主要载体的变分方法来求解非线性弹性问题。
The existence of a homoclinic orbit for a singular second order planar Hamiltonian system is proved by using variational methods.
用变分方法证明了二阶奇异平面哈密顿系统的同宿轨道的存在性。
The author applies generalized variational methods to calculate the additional expansion and contraction forces of CWR on bridge.
用广义变分法来计算桥上无缝线路附加力，提出了研究桥上无缝线路附加力计算的新方法。
The best parameters of analytical wave functions were obtained by the variational methods, and the energy of every atom was systematically calculated.
采用变分法定出了解析波函数的最佳参数，对各原子的能量进行了系统的计算。
It is intended to render a new sound theoretical basis for FEM and other variational methods and a series of new ways for blade design and modification.
本文旨在为有限元法及其它变分解法提供又一新的完善的理论基础，也为新叶栅的分析、设计和优化以及老叶栅的改型提供一系列新途径。
It gave the best parameters of analytical wave functions by the variational methods, and large-scale systematically calculated the energy of every atom.
采用变分法定出了解析波函数的最佳参数，并对各原子的能量进行了系统的大量计算。
By making use of variational methods, we obtain two positive solutions ofp(x)-Laplace equation, which generlizes the corresponding relusts of Laplace equation.
利用凸性分析方法，在方程具有边界条件和正初始能量情况下得到整体解不存在的充分条件。
The influence of electric field on the properties of strong-coupling polaron in parabolic quantum wires are studied by using linear combination operator and variational methods.
采用线性组合算符法和变分法研究了电场对抛物量子线中强耦合极化子性质的影响。
Although there are other books devoted to nonlinear elasticity or variational methods, none are concerned with Young measures as a tool for proving existence results in nonlinear elasticity.
虽然有其他书籍或用于非线性弹性变分方法，没有一个是与作为证明存在的非线性弹性结果工具年轻的措施表示关注。
The aim of this thesis is to study the existence of weak solutions for semilinear second order elliptic boundary value problems under suitable conditions through topological and variational methods.
本文主要利用拓扑度理论中的不动点定理和变分方法中的极小作用原理及其环绕形式的临界点定理在适当的条件下讨论了一类二阶椭圆边值问题的可解性。
Through laboratory study, it is found that the actual sliding surface occurred in veneer cover soil of variational thickness on finite slope is different from that of commonly used methods.
通过实验发现，有限长边坡变厚式封面层的实际滑动面位置与无限长平行坡方法假定的滑动面不同。
This dissertation established numerical methods in the fuzzy structural analysis on the basis of fuzzy variational principle and peak fuzzy number.
本文依据模糊变分原理以及峰型模糊数的运算法则，建立了模糊结构分析的数值理论和方法。
The course also examines approximation methods: WKB method, variational principle, and perturbation theory.
同时，本课程也解释了几种常用的近似方法：WKB方法、变分原理、以及微扰理论。
The variational relations of the internal excited states of polaron with coupling strength and magnetic field were derived by using the linear combination operator and unitary transformation methods.
应用线性组合算符和幺正变换方法，得出了极化子内部激发态与耦合强度和磁场的关系。
In this paper, some methods are introduced, which process images based on PDEs and variational approaches, as well as analyzed.
本文介绍了主要的基于变分偏微分方程的用于图像处理的方法，并且对每种方法进行了分析。
The foundation of the solving methods is the variational principle.
求解方法的基础是变分原理。
Variational design is the kernel of contemporary CAD technology. There are many solving methods for geometric constraint solving at the aim of variational design, but they all have some limitations.
变量化技术是当代CAD技术的核心，以实现变量化设计为目的的几何约束求解有多种方法，但它们都存在一定的局限性。
This papar deals with the problem of solution's existence about elliptic equation under limiting exponents and free boundary problem by variational evaluation methods.
本文是采用变分估计方法考虑一类椭圆方程在临界指数和自由边界条件下解的存在性问题。
Functional Analysis and Operator Algebras; Quantization Methods and Path Integration; Variational Techniques.
泛函分析和算子代数；量子化方法和路径积分；变分技术。
Variational Level Set Methods for Multiphase Image Segmentation and for Image Segmentation Based on Prior Shape;
提出了一种基于水平集方法的结构刚度拓扑优化设计方法。
Variational Level Set Methods for Multiphase Image Segmentation and for Image Segmentation Based on Prior Shape;
提出了一种基于水平集方法的结构刚度拓扑优化设计方法。
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