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弱估计
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  weak estimate
     For general second-order elliptic boundary value problems in three dimensins,using weight function idea this paper studies the estimates for the discrete derivative Green's function,and proves the W~(2,1) seminorm of this function is of O(h~(-1))accuracy,from which,using the weak estimate of the second type,we can also obtain maximum-norm superapproximation of the gradient of the finite element approximation.
     对于一般的三维二阶椭圆边值问题,利用权函数思想研究了离散导数Green函数的估计,证明了这种函数的W2,1半范具有O(h-1)的精度. 通过这个结果与第二型弱估计,也可以得到有限元梯度的最大模超逼近.
短句来源
     For an elliptic boundary value problem in three dimensions this paper will give the weak estimate of the first type for tensor-product quadratic rectangular parallelepiped elements and the estimate for the W1,1 seminorm of the discrete derivative Green's function over rectangular parallelepiped partitions of the domain, from which this paper will obtain maximum-norm superapproximation of the gradient for the tensor-product quadratic rectangular parallelepiped finite element.
     对于某种三维椭圆边值问题,本文给出了长方体剖分下张量积二次长方体有限元的第一型弱估计以及离散导数Green函数的W1,1半范估计,利用这两个估计本文获得了张量积二次长方体有限元梯度最大模的超逼近.
短句来源
  weak estimates
     Two Weak Estimates for the Triquadratic Rectangular Parallelepiped Finite Element
     三二次长方体有限元的两个弱估计
短句来源
     For an elliptic boundary value problem in three dimensions,three-dimensional interpolation operator of projection type is first introduced. Then,using this operator,two weak estimates for the triquadratic rectangular parallelepiped finite element are obtained over rectangular parallelepiped partitions of the domain,from which superapproximation of the triquadratic rdctangular parallelepiped finite element can also be discussed.
     对于某种三维椭圆边值问题,首先介绍了三维投影型插值算子,然后利用这一算子得到了长方体剖分下三二次长方体有限元的两个弱估计,通过这两个弱估计也可讨论三二次长方体有限元的超值逼近。
短句来源
  “弱估计”译为未确定词的双语例句
     An inverse example is given so as to explain that there are not uniform superconvergence and average superconvergence for derivatives in nodal points although the triangulation is uniform meshes when solving Dirichlet problem of Poisson equation using P1 nonconforming finite element method.
     研究了Poisson方程第一边值问题,给出反例,说明用P1型非协调元求其近似解,即使区域剖分是一致的,也无插值的第一弱估计,进而说明有限元解无超收敛.
短句来源
  相似匹配句对
     It is proved that the weak type estimate is sharp.
     其有界性估计是精确的.
短句来源
     b) a G-M estimator of ω'1α, ω'2β and ω'1α+ω'2β under L (Xβ, Aα; δ21V, δ22U} respectively.
     b)G-M估计
短句来源
     Parameter Estimation of the Weak Maneuvering Target
     机动目标的参数估计
短句来源
     A newmethod for the estimation of exponent regularity of the kind wavelet and related scalefunction is proposed.
     Daubechies的估计
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     sorokiniana in different growing time of wheat.
     sorokiniana
短句来源
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  weak estimate
With no additional assumptions on A, we give only a rather weak estimate.
      
  weak estimates
The author also obtains their weak estimates on endpoints.
      
Weak estimates for commutators of fractional integral operators
      
Formalization for problems of multicriteria decision making under uncertainty is constructed in terms of guaranteed and weak estimates.
      
Weak estimates on maximal functions with rectangles in certain directions
      


An inverse example is given so as to explain that there are not uniform superconvergence and average superconvergence for derivatives in nodal points although the triangulation is uniform meshes when solving Dirichlet problem of Poisson equation using P1 nonconforming finite element method.

研究了Poisson方程第一边值问题,给出反例,说明用P1型非协调元求其近似解,即使区域剖分是一致的,也无插值的第一弱估计,进而说明有限元解无超收敛.

For an elliptic boundary value problem in three dimensions,three-dimensional interpolation operator of projection type is first introduced.Then,using this operator,two weak estimates for the triquadratic rectangular parallelepiped finite element are obtained over rectangular parallelepiped partitions of the domain,from which superapproximation of the triquadratic rdctangular parallelepiped finite element can also be discussed.

对于某种三维椭圆边值问题,首先介绍了三维投影型插值算子,然后利用这一算子得到了长方体剖分下三二次长方体有限元的两个弱估计,通过这两个弱估计也可讨论三二次长方体有限元的超值逼近。

For general second-order elliptic boundary value problems in three dimensins,using weight function idea this paper studies the estimates for the discrete derivative Green's function,and proves the W~(2,1) seminorm of this function is of O(h~(-1))accuracy,from which,using the weak estimate of the second type,we can also obtain maximum-norm superapproximation of the gradient of the finite element approximation.

 对于一般的三维二阶椭圆边值问题,利用权函数思想研究了离散导数Green函数的估计,证明了这种函数的W2,1半范具有O(h-1)的精度.通过这个结果与第二型弱估计,也可以得到有限元梯度的最大模超逼近.

 
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