查询词典 energy norm

We applied the method based on certain energy estimates to prove the convergence and stability of the scheme in energy norm and maximum norm.

我们利用能量分析法证明了C-N格式在能量模和最大模意义下的收敛性和稳定性；通过矩阵分析和对广义特征值的估计得到离散L_2模意义下的收敛性和稳定性。

The semi-discrete Morley element method for the problem and its error estimates in the energy norm are reviewed first.

首先回顾了基于M0rlev元空间的半离散格式及其能量范数意义下的最优误差估计。

The advice on selecting weight function and its parameter in MLS method is presented by analyzing the influence of weight function curve on the precision of computational result on the basis of energy norm proposed.

通过建立误差的能量范数，对照分析了权函数曲线的分布规律对逼近结果的精度影响，得到了在移动最小二乘法逼近中选择权函数及其相关参数的建议。

For overlapping domain decomposition method, we prove the geometric convergence for continuous algorithm in the sense of energy norm by means of projection theory, analyze the convergence rate of the algorithm in detail. And we also discuss the discretization of the algorithm and its finite element implementation. Some numerical experiments are also given.

对重 叠型区域分解算法，利用投影理论，证明了连续型算法在能量模意义下的几何收敛性，详细地分析了算法的收敛速度，也讨论了算法的离散化及有限元处理，并给出了相应的数值实验。

Finally, we discuss that the combination of conforming quadrilateral Q\ element and nonconforming quasi-Wilson element on anisotropic meshes. The error estimates of the energy norm and L~2-norm are obtained, which are the same as those of the traditional methods.

最后，本文研究了逼近空间取为协调的四边形Q_1元和非协调类Wilson元的情况，同样在剖分网格不满足正则性条件下，得到了与传统方法相同的能量模和L~2模误差估计。

The existence and the uniqueness of the difference solution are proved. Based on the priori estimates and an inequality about norms, the stability and the convergence of difference solutions with the second-order are proved in the energy norm.

利用矩阵理论证明了差分解的存在惟一性，并利用一个重要的不等式在先验估计的基础上，运用能量估计的方法证明了该格式按无穷范数以二阶精度收敛到真实解。

In this paper,we present a kind of symmetric modified finite volume element method for nonlinear parabolic problems,and give the optimal order energy norm error estimates for full discrete schemes.

本文对一类非线性抛物型方程提出对称修正有限体积元方法，给出能量模最优阶误差估计，并证明了对称修正有限体积元方法的解与一般有限体积元方法的解之差是一个更高阶项。

He proved that:if the total moving times of mesh M is a finite number and independent ofΔt andh.the L2-norm error estimate is optimal;if Mh is independent ofΔt and bounded,energy norm error estimate is optimal.

并证明了当网格变动次数M是不依赖于Δt和h的有限数时，近似解与真解的L2误差估计是最优的；当Mh不依赖于Δt且有界时，能量模误差估计最优。

Since the modes of foundation are dense,by taking the criterion of energy response as mode truncation index,the energy norm and criterion are established to calculate the mode truncated order of dynamic compaction response.

由于地基模态密集，提出以能量响应信息的收敛作为模态截断的判断指标，建立能量范数和能量判据，计算强夯动力响应的模态截断阶数。

The aims of this paper are to derive the optimal error estimates of eigenpairs, i.e. the optimal error estimate of eigenvalues, and the new error estimates of velocity, pressure including the L~2 - norm and energy norm, respectively, in which the L~2 - norm estimate of velocity on anisotropic meshes has not ever been seen in the precious literature.

对于Stokes特征值问题本文不仅得到了征值对的最优误差估计即：特征值和流速压力的零模和能量模以及压力的能量模最优误差估计，其中在各向异性网格下对此问题的零模估计尚未见报道。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。