Usually the probability of rare event derived from large deviation method can be expressed as a solution of variational problem.
通常，源于大偏差方法的小概率事件的概率可以作为一个变分问题的解。
The new variational principles can fully characterize the initial-boundary-value problem of this dynamics.
这种新的变分原理能反映动力学初值-边值问题的全部特征。
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。
Then the new step function space is introduced and stability problem for the finite difference scheme is discussed by means of variational approximation method.
然后引入新的步长函数空间，并在这个空间上，采用变分近似法讨论该格式的稳定性问题。
As to the problem of packing balls, a smooth model is given and the corresponding optimality conditions are established by the optimality theory of variational analysis.
对球体图元的装箱问题直接给出光滑的优化模型，依据变分分析的最优性理论建立了最优性必要条件。
As an inverse problem of Hamiltonian mechanics, a new Hamiltonian system in elasticity and its variational principle are derived from the basic equations of elasticity.
作为哈密顿力学逆问题，从弹性力学基本方程推导出弹性力学中一个新的哈密顿系统及其变分原理。
As its applications, the continuity of solution mappings for a class of parametric vector optimization problem and parametric vector variational inequality is obtained.
作为应用，得到一类参数向量优化问题和参数向量变分不等式的解的连续性。
A finite element method using subregion variational principle and spline function in this paper is presented to solve the problem of combined shell of revolution.
本文提出一种用分区变分原理和样条函数相结合的有限元方法，解决组合型旋转壳受力分析问题。
A new mixed variational formulation is presented for the elastic contact problem with application of least-square method.
采用最小二乘法对弹性接触问题提出了一种新的混合变分形式，对该变分问题解的存在唯一性进行了论证。
A generalized variational principle involving conditions of the rigid-plastic interface and the discontinuous surface of a velocity field has been put forward for the mixed-boundary value problem.
提出了一个包括界面条件及间断面条件在内的混合边值问题的广义变分原理，建立了极限载荷乘子的变分解析公式。
A new auxiliary problem method for solving the general variational inequalities (GVIP) is constructed.
对广义变分不等式问题(GVIP)提出了一种新的辅助问题算法。
Studied in this paper is the nonconforming finite element approximation to the second order variational obstacle problem with displacement obstacle on the anisotropic meshess.
本文研究位移障碍下二阶变分不等式问题在各向异性网格上的非协调有限元逼近。
The fundamental equations in finite element method for unsteady temperature field elastic plane problem are derived on the bases of variational principle of coupled thermoelastic problems.
在耦合热弹性问题变分原理的基础上，导出非定常温度场热弹性平面问题的有限元法基本方程。
In this paper, some general theorems and variational principles of the boundary value problem for two time instants in nonlinear elastodynamics are developed.
本文给出了非线性弹性动力学两时端边值问题的某些一般定理及变分原理。
Then the new function space is introduced and the stability problem for the finite difference scheme is discussed by means of variational approximation method in this function space.
然后引入新的函数空间，并在这个空间上，采用变分近似法讨论了该格式的稳定性问题。
Based on the sub-region generalized variational principle, the solving equations of the problem are derived directly.
根据分区广义变分原理，直接导出问题的求解方程式。
A variational principle is presented in this paper for directly calculating the potential coefficients in solving the mixed boundary value problem.
本文提出了利用变分法解混合边值问题直接计算位系数的原理。
A route-based variational inequality model and a heuristic algorithm of the dynamic user optimal route choice problem were proposed by the link travel time function.
运用该阻抗函数建立基于路径的动态用户最优路径选择变分不等式模型，给出了该模型的启发式算法。
Short term optimization of hydroelectric generation is a procedure problem and should be solved by the variational method of functional extreme value, i. e. , the famous Eulerian equation.
短期水电优化是过程问题，应该用泛函极值的变分法即欧拉方程求解。
A new minimax inequality theorem is established, which will be used to study the existence problem of solution for a new class of generalized bi-quasi-variational inequality.
建立了一个新的极大极小不等式，并利用它研究了仿紧集上一类新型广义双拟变分不等式解的存在性问题。
The key problem of four-dimensional variational data assimilation method, which solves the constraining numerical predict equations through accompanied model, is how to establish an accompanied model.
应用伴随方法求解以数值预报方程作为约束条件的四维变分资料同化方案，关键问题是如何构造伴随模式。
Based on the theory of variational inequality, a direct solution method of one-dimensional problem is developed which efficiently solves the Reynolds equation.
基于变分不等方程理论，雷诺方程采用一维直接解法求解。
This paper addresses a new augmented Lagrange method(AL) for monotone variational inequality(VI), which needs only to solve one stongly monotone sub-VI problem.
对单调变分不等式的一种新的拉格朗日方法（AL）进行讨论。
The problem of solving large deflection plate by the variational method is changed into that of solving systems of cubic algebraic equations with multi-unknown quantities.
采用变分法求解薄板大挠度问题的高级近似解时将导致多元三次代数方程组。
A new slope stability analysis method, explicitly satisfying all limiting-equilibrium equations, is presented. To make the problem statically determinate, the variational approach is used.
本文在现有变分法求解土坡稳定的基础上，推导了一种能适用于任意有对称面的非均质土坡的稳定分析方法。
In this paper, We prove the existence of a weak minimum for constrained vector optimization problem by making use of vector variational-like inequality and semi-preinvex functions.
本文通过使用向量似变分不等式和半预不变凸函数来证明约束向量优化的弱极小值的存在性。
The inverse problem in variational calculus is studied.
研究了变分学中的逆问题。
By the parametric potential energy variational principle, the analytic solution of expansion problem of granular material pile is obtained.
利用参变量最小势能原理，求出了散体材料桩扩张问题的解析解。
Variational method could naturally convert complex segmentation into a variational functional optimization problem.
变分方法可以自然的将复杂的分割转化为泛函的极值问题。
Variational method could naturally convert complex segmentation into a variational functional optimization problem.
变分方法可以自然的将复杂的分割转化为泛函的极值问题。
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