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bubble函数
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  “bubble-函数”译为未确定词的双语例句
     Based on the general framework of unusual stabilized finite element methods developed by [9], this paper is devoted to the study of a stabilization formulation for saddle point problems by employing bubble functions. This formulation is not subject to the Babuska-Brezzi condition,and the stability and the convergence of this methodnology are independent of the choice of the finite dimensional spaces. Quasi-optimal error bounds are obtained, which agree with the interpolation properties of the finite elements used.
     本文针对混合结构抽象问题,基于[9]的非标准稳定化有限元方法的一般框架研究了bubble-函数稳定化方法.该逼近格式使得Babuska-Brezzi条件是不必要的,从而使得格式的稳定性和收敛性与有限元空间对是否匹配无关.获得了与有限维空间插值性质一致的拟最优误差估计.作为应用举例,本文详细分析了定常Stokes问题.
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     For the Stokes problem, this paper establishes an equivalence among the bubble functions based stabilized finite element methods given by , GaLS stabilized methods and bubble functions enriching methods.
     本文针对Stokes-问题给出了[12]发展的基于局部bubble-函数稳定化有限元法与Gals-稳定化有限元法,bubble函数扩充元法的等价关系
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  相似匹配句对
     Multiscale Fault Detection Based on Bubble Wavelet
     基于Bubble函数多分辨断层检测
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     Analysis of Mixed Finite Elements Stabilized by Bubble Functions
     Bubble-函数稳定化混合有限元分析
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     The icm-sum function
     最小公倍数的和函数
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     MULTIPLE WINDOW FUNCTION
     多窗口函数
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     THE FUNCTION ON S-CLOSED SPACE
     S闭空间上的函数
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  bubble function
Convergence of simplified and stabilized mixed element formats based on bubble function for the stokes problem
      
Two simplified and stabilized mixed element formats for the Stokes problem are derived by bubble function, and their convergence, i.
      
Motivated by this discovery, a new SDFEM is developed based on a special choice of the stabilization bubble function.
      
It is found that, irrespective of the degree of mean and the rotational pressure interpolation, the linear triangle mesh, with or without central bubble function (incompatible mode), locks when both the constraints are enforced simultaneously.
      
In order to satisfy the inf-sup condition we need to add to the usual piecewise quadratics a cubic bubble function.
      
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Lateral inhibition described by Bubble function is a very common mechanism in living creature vision information processing system.In this paper,we use Bubble function as wavelet base and Gaussian function as smooth function to decompose signal using Mallat algorithm and the position of maximum decomposition value is just the position of edges.This algorithm has different ability to reduce noise and to extract edges according to different scales of Bubble function.When the scale of Bubble function is growing...

Lateral inhibition described by Bubble function is a very common mechanism in living creature vision information processing system.In this paper,we use Bubble function as wavelet base and Gaussian function as smooth function to decompose signal using Mallat algorithm and the position of maximum decomposition value is just the position of edges.This algorithm has different ability to reduce noise and to extract edges according to different scales of Bubble function.When the scale of Bubble function is growing wide,then the ability of reducing noise increases and the ability of extracting detail edges decreases;otherwise,the ability of reducing noise decreases and the ability of extracting detail edge increases. Both the theory and experiment manifest that this algorithm is very efficient and practical.

侧抑制是生物视觉信息处理中广泛存在的一种机制,Bubble函数很好刻画了侧抑制现象。本文利用Bubble函数构成小波,高斯函数作为平滑函数,用Mallat快速算法进行小波分解,分解的局部极大值就是多尺度边缘,理论和实验都表明,这种算法对于不同的尺度,有不同的抑制噪声的能力和提取边缘细节的能力,当Bubble函数的尺度较大时,抑制噪声的能力增强,提取边缘细节的能力变差;当Bubble函数的尺度较小时,抑制噪声的能力变弱,提取边缘细节的能力增强

According to the equivalent expression theorem about the orthogonality of wavelets and the equivalent expression theorem about the Riesz bounds of integral shifting basis of a function in L2(R),the orthogonality condition of Bubble wavelets is analysed and discussed systematically from three respects.The results show that the orthogonal and almost orthogonal Bubble wavelet can be constructed by selecting appropriately the shape parameter of Bubble functions,but the Mexicanhat wavelet (a special Bubble wavelet) can not be regarded as an almost orthogonal wavelets....

According to the equivalent expression theorem about the orthogonality of wavelets and the equivalent expression theorem about the Riesz bounds of integral shifting basis of a function in L2(R),the orthogonality condition of Bubble wavelets is analysed and discussed systematically from three respects.The results show that the orthogonal and almost orthogonal Bubble wavelet can be constructed by selecting appropriately the shape parameter of Bubble functions,but the Mexicanhat wavelet (a special Bubble wavelet) can not be regarded as an almost orthogonal wavelets.

根据小波正交性的等价叙述定理和L2(R)中函数整数平移系的Riesz界等价叙述定理,从三个方面系统地分析讨论Bubble小波的正交条件。适当选择Bubble函数的形状参数,可以得到正交和几乎正交的Bubble小波,并指出墨西哥帽函数不能当成几乎正交的小波函数使用。

This paper is devoted to the development of stabilized finite element methods by empolying local bubble functions for adveetive-diffusive models which has the form σu+a·(?)u-k△u =f. We show this methodology is stable independent of σ or Peclet-number and its globle optimal convergence order,from the problem with a=0 or σ=0.

本文针对形如σu+α·u-kΔu=f对流—扩散型的模型问题,发展耦合局部bubble-函数的有限元方法,我们就α=0和σ=0两种情形证明了方法的与“影响因素”σ和pedlet-数无关稳定性及全局最佳收敛阶。

 
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