UNIFORM SUPERCONVERGENCE OF GALERKIN METHODS FOR SINGULARLY PERTURBED PROBLEMS

In this paper, we are concerned with uniform superconvergence of Galerkin methods for singularly perturbed reaction-diffusion problems by using two Shishkin-type meshes. Based on an estimate of the error between spline interpolation of the exact solution and its numerical approximation, an interpolation post-processing technique is applied to the original numerical solution. This results in approximation exhibit superconvergence which is uniform in the weighted energy norm. Numerical examples are presented to demonstrate the effectiveness of the interpolation post-processing technique and to verify the theoretical results obtained in this paper.     

NaOH后处理对多级孔Hβ分子筛上木质素催化热解性能的影响

采用碱性条件下"后处理"脱硅的方法,制备了一系列多级孔Hβ分子筛,考察了Na OH浓度对Hβ分子筛上木质素催化热解性能的影响。结果表明,当Na OH浓度小于0.2 mol/L时,碱处理后的多级孔Hβ分子筛的介孔数量增加,木质素热解液体产物的收率随着Na OH浓度提高而显著增加。当Na OH浓度小于0.5 mol/L时,碱处理可以保持多级孔Hβ分子筛的微孔结构基本不被破坏,木质素催化热解具有较好的脱氧效果;产物以芳烃为主,含氧化合物的收率始终小于3%。当Na OH的浓度增加到1 mol/L时,会造成Hβ分子筛过度脱硅,骨架坍塌;由于Hβ分子筛的多级孔结构被破坏,此时不仅木质素热解液体产物的收率降低,而且脱氧效果变差。     

Research on the algorithm of binary image cross-correlation for unsteady flow field measurement

In the present paper, the algorithm of Binary Image Cross-Correlation (BICC) was developed to measure the unsteady flow field. A vortex flow field was used to test the algorithm by numerical simulation. The results show that BICC is an effective algorithm for particle identification from consecutive images, the accurate velocity vector field can be obtained. The real velocity field in a valve chamber was measured by BICC in this study. From the full-field velocity information, the pressure and vorticity fields were also extracted by post-processing. The project supported by the National Natural Science Foundation of China     

The Cauchy–Riemann Equations: Discretization by Finite Elements,Fast Solution of the Second Variable,and a Posteriori Error Estimation

In this paper we will concentrate on the numerical solution of the Cauchy–Riemann equations. First we show that these equations bring together the finite element discretizations for the Laplace equation by standard finite elements on the one hand, and by mixed finite element methods on the other. As a consequence, methods for a posteriori error estimation for both finite element methods can derive their validity from each other. Moreover, we show that given a finite element approximation of one of the vectorfields, the missing can be accurately computed in optimal complexity.     

可混溶驱动问题的超收敛性

本文讨论多孔介质中两相可混溶渗流驱动问题的有限元方法，采用一致网格剖分、指标为k的Raviart－Thomas空间对压力作混合有限元逼近，用正则剖分、逼近阶为l的标准有限元方法处理浓度方程，通过核函数对有限元解作卷积进行局部平均确定非线性项的系数，得到了浓度误差H1范数的超收敛估计，经高阶插值，得到了整体高精度的逼近．     

一种预测层合板层间剪应力的新后处理方法

层合板是航空航天领域典型的承力构件,过大的层间应力是导致其分层失效的主要原因.准确的层间应力预测往往依赖于三维平衡方程后处理方法(TPM).然而,该方法需要计算面内应力的一阶导,使得基于C0型板理论构造的线性单元无法使用TPM计算横向剪应力.本文在三维平衡方程后处理方法的基础上,提出了一种新后处理方法(NPM).新后处理方法通过虚功等效法消除了三维平衡方程后处理方法中产生的位移参数的高阶导.基于提出的新后处理方法和C0型板理论,仅需使用线性单元就可以预测层合板的横向剪应力.为了验证所提方法的有效性,本文基于修正锯齿理论(RZT)和所提方法构造了一种C0连续的三节点三角形线性板单元.数值算例表明,所提方法和三维平衡方程后处理方法具有相同的计算精度,提出的板单元能够准确高效地预测层合板的横向剪应力.此外,所提方法便于结合现有的有限元商用软件使用,基于商用软件中板壳单元获得的节点位移,使用新后处理方法极易获得准确的层间剪应力.     

弱碱溶液后处理对固相合成铈掺杂钇铝石榴石荧光粉发光性能的改进

为改善高温固相反应制备的铈掺杂钇铝石榴（YAG∶Ce3+）黄光荧光粉的发光性能,分别采用浓氨水、N,N-二甲基乙酰胺(DMAC)、三乙醇胺、聚丙烯酰胺和六次甲基四胺等的水溶液对其进行浸泡处理,比较了处理剂浓度、用量和处理剂类型对荧光粉发光强度、荧光粉温度、猝灭性能和形貌的影响,确定了以30%氨水在50 ℃浸泡50 min为优化的处理工艺,YAG∶Ce3+荧光粉发光强度比处理前约提高9.5%,荧光粉分散程度也得到改善,处理后粒径分布更加均匀。     

AutoCAD图形交换文件DXF在面向对象程序设计中的应用

利用FORTRAN90语言并结合AutoCAD图形交换文件DXF编制出一个面向对象 的有限元程序, 执行该程序, 实现了包括网格自动生成、单元节点信息、等效节点载荷、约 束条件及变形、等应力线图等前后处理的功能. 它克服了以往在有限元教学中面对大量数据 需要输入和整理一大堆输出的结果数据, 做到了有限元前后处理的可视化, 让学生初步掌握 有限元的面向对象编程的技术.     

A practical method for rapid discrimination of constituents in Psoraleae Fructus by UPLC-Q-Orbitrap MS

Psoraleae Fructus (PF) is one of the most frequently used traditional Chinese medicine, which has good efficacy in warming kidney to activate yang, promoting inspiration to relieve asthma and warming spleen to stop diarrhea. However, the chemical composition of PF is complex, which makes it difficult to determine its active and toxic components. In order to rapidly classify and identify the chemical components of the extracts from PF, this research was processed with CNKI, PubMed, and PubChem databases and data post-processing technique basing on ultrahigh performance liquid chromatography quadrupole orbitrap mass spectrometry (UPLC-Q-Orbitrap MS) technique. Finally, 73 chemical components were discriminated, including 44 flavonoids, 18 coumarins, and 11 terpenoids, with the cleavage rules of each chemical component summarized. This study established a UPLC-Q-Orbitrap MS method for the separation and discrimination of the chemical constituents of PF, which can lay a foundation for the further study of its medicinal substances and quality control.     

EXTRAPOLATION AND A-POSTERIORI ERROR ESTIMATORS OF PETROV-GALERKIN METHODS FOR NON-LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

1. IntroductionThe pmpme of tabs Paper is to show that the ~ardson edrapolation can be used toenhance the nUmerical solutions generated by a cab of Petrov-Gaierkin lhate element methodsfor the nonlinear VOlterra integrO-chrential equation (VIDE):where j = j(t,y): I x R --+ R and k = k(t,8,g): D x R - R (with D:= {(t,8): 0 S & S t ST}) denote given hmctions.Throughout tab paperl it will always be assumed that the problem (1.1) possesses a piquesolution y E C'(I), namely, the given hmc…