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  error estimate
Stability in l-norm and error estimate in I2-norm are obtained.
      
By using the elliptic Ritz-Volterra projection, the analysis of the error estimates for the finite element numerical solutions and the optimal H1-norm error estimate are demonstrated.
      
Calculation of maximum value of twice-differentiable function with a posteriori error estimate
      
An error estimate is derived, and an a priori choice of the regularization parameters is described.
      
An error estimate is obtained for the stable approximate solution obtained by solving a set of linear algebraic equations for the wavelet coefficients of the desired solution.
      
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  error estimates
In this paper, we prove the convergence of the nodal expansion method, a new numerical method for partial differential equations and provide the error estimates of approximation solution.
      
Furtheremore, we provide the error estimates of the approximate solutions of the Navier-Stokes Equations.
      
The ellipticH2-Volterra projection is induced and then used in the derivations of error estimates for semi-discrete and full-discreteH1-Galerkin methods.
      
The optimalL2,H1 andH2 norm error estimates are obtained.
      
Continuous time and discrete time Galerkin methods are introduced to approximate the solution and optimalH1 error estimates are obtained.
      
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  error estimation
The large time error estimation between the spectral approximate solution and the exact solution is obtained.
      
Phase-shifting measurement and its error estimation method were studied according to the holographic principle.
      
The difficulties of the error estimation in phase-shifting phase measurement were restricted by this error estimation method.
      
Meanwhile, the maximum error estimation method of phase-shifting phase measurement and its formula were proposed.
      
A formula is presented for the approximate calculation of the correlation coefficient with error estimation.
      
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  estimation of error
Consistent nonparametric estimation of error distributions in linear model
      
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
      
Estimation of error variance in one-way random model
      
The criterion used is the estimation of error variance.
      
We investigated the correlation coefficient (r) and standard estimation of error (SEE) between the latter ten static images and the DV image using the pixel-by-pixel method, thereby determining the optimum acquisition phase.
      
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  其他


After a review of the growth of computational structural mechanics,a survey is made for the following seven important computational mechanicsproblems in structural engineering science: (1) Basic theoretical problems ofnumerical methods (inclilding error estimation theory and adaptive mesh refine-ment strategy,multi-variable finite element theory and semi-analytical numericalmethod). (2) Optimum design of engineering structures. (3) Structural construc-tion mechanics. (4) Numerical modelling and simulation by...

After a review of the growth of computational structural mechanics,a survey is made for the following seven important computational mechanicsproblems in structural engineering science: (1) Basic theoretical problems ofnumerical methods (inclilding error estimation theory and adaptive mesh refine-ment strategy,multi-variable finite element theory and semi-analytical numericalmethod). (2) Optimum design of engineering structures. (3) Structural construc-tion mechanics. (4) Numerical modelling and simulation by computers. (5) Con-stitutive modcls. (6) Influence of new development in computer technology.(7) Computer aided design. It is revealed that the numerical computation,theoryand experiment are closely interrelated.

本文概述了计算结构力学的形成过程,评述了结构工程科学中以下7个需要重点研究的计算结构力学问题:数值方法基本理论问题(误差估计理论、网格自适应加密技术、多变量有限元理论和半解析数值方法)、工程结构优化设计、结构施工力学、计算机数值模拟和仿真技术、本构模型、计算机技术新发展的影响、计算机辅助设计。并论述了数值计算、理论和试验这三者之间相互依赖、相互促进、相互交叉又相互制约的辩证关系。

Abstract In this paper for Neutron Transport equation the new iteratine finite element method is developed and the approximate properties of this algorithm are discussed.Finaly th numerical results are given.This results show that this new algorithm is feasible in practice.

本文讨论中子迁移方程Au=F的数值方法,这里A是迁移算子,A=B+J,而,是中子运动方向单位矢量,是梯度算子,I是恒等算子,σ是横截面积,J是积分算子,F是外中子源,本文提出上述方程的迭代算法:B-u(n+1)=-Ju(n)+F,结合不连续Galerkin方法给出迭代有限元算法,讨论了算法的收敛性和误差估计,给出计算实例。理论分析和计算结果表明此方法结构简单,计算方便和精度较高。

Abstract In this paper,a locally stabilized finite element formulation of the linear elasticity problem is analyzed.A macroelement condition is introduced. By satisfying this condition,we give uniform error estimation with respect to the compressibility for the Qi-P0 quadrilateral and the P1-P0 trianglar element.

本文中分析了线弹性问题的一种局部稳定化的混合有限元方法,引入了一种“宏元条件”。当该条件被满足时,我们对Q1-P0四边形单元和P1-P0三角形单元得到了该方法关于可压缩性一致的误差估计

 
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