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A Nonconforming Rectangular Finite Element Analysis for the Stokes Problem

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Chinese Quarterly Journal of Mathematics 2009年第4期24卷 621-627页

作者： XIAO Liu-chao chen shao-chun College of Science Henan University of Technology Zhengzhou 450001 China Department of Mathematics Zhengzhou University Zhengzhou 450001 China

A nonconforming rectangular finite element is presented, which satisfies the discrete B-B condition for the Stokes problem. And the element has two order convergence rate for the velocity and pressure.

关键词： Stokes problem nonconforming finite element B-B condition

A Rectangular Finite Element for Planar Elasticity and Stokes Problems

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Chinese Quarterly Journal of Mathematics 2010年第1期25卷 8-15页

作者： chen shao-chun ZHANG Bu-ying Department of Mathematics Zhengzhou University Zhengzhou 450052 China E ＆ A College Hebei Normal University of Science and Technology Qinhuangdao 066004 China

In this paper, a locking-free nonconforming rectangular finite element scheme is presented for the planar elasticity problem with pure displacement boundary condition. Meanwhile, we prove that this element is also con... 详细信息

关键词： locking-free the planar elasticity problem pure displacement boundary condi- tion Stokes problem

Mixed Finite Element Formats of any Order Based on Bubble Functions for Stationary Stokes Problem

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Chinese Quarterly Journal of Mathematics 2016年第1期31卷 87-95页

作者： CAO Ji-wei LIU Ming-fang chen shao-chun School of Mathematical Sciences Nankai University College of Mathematics and Statistics Henan University College of Mathematics and Statistics Zhengzhou University

Mixed element formats of any order based on bubble functions for the stationary Stokes problem are derived in triangular and tetrahedral meshes and the convergence of these formats are proved.

关键词： mixed finite element method bubble function the stationary Stokes problem

The Energy-orthogonal Tetrahedral Finite Element for Fourth Order Elliptic Equations

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Chinese Quarterly Journal of Mathematics 2011年第3期26卷 388-393页

作者： LIU Ming-fang CAO Ji-wei chen shao-chun College of Mathematics and Information Sciences Henan University Kaifeng 475000 China Department of Mathematics Zhengzhou University Zhengzhou 450052 China

In this paper,the 16-parameter nonconforming tetrahedral element which has an energy-orthogonal shape function space is presented for the discretization of fourth order elliptic partial differential operators in three... 详细信息

关键词： nonconforming finite element tree-dimension fourth order elliptic equation

A Locking-free Nonconforming Finite Element for Planar Linear Elasticity

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Chinese Quarterly Journal of Mathematics 2009年第2期24卷 211-218页

作者： ZHA O Zhong-jian ZHANG Guan-yu chen shao-chun Department of Teaching Affairs North China University of Water Conservancy and Electric Power Zhengzhou 450008 China Department of Mathematics Huanghuai College Zhumadian 463000 China Department of Mathemathics Zhengzhou University Zhengzhou 450002 China

We propose a locking-free nonconforming finite element method to solve for the displacement variation in the pure displacement boundary value problem of planar linear elasticity. The method proposed in this paper is robust and optimal, in the sense that the convergence estimate in the energy is independent of the Lame parameter λ.

关键词： nonconforming finite element method planar elasticity the optimal error estimates

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西门子法生产多晶硅的热力学

无机化学学报 2007年第5期23卷 795-801页

作者：苗军舰陈少纯丘克强中南大学化学化工学院长沙410083 广州有色金属研究院广州510651

应用有关热力学数据研究了与西门子法相关的“Si-Cl-H”三元系的复杂化学反应,分别绘制了在体系中存在的15个化学反应的△rG m-T图和Kp -T图;还给出在不同压强和不同SiHCl3/H2初始比例时的平衡气相成分、η-产率随温度的变化图以及在不... 详细信息

应用有关热力学数据研究了与西门子法相关的“Si-Cl-H”三元系的复杂化学反应,分别绘制了在体系中存在的15个化学反应的△rG m-T图和Kp -T图;还给出在不同压强和不同SiHCl3/H2初始比例时的平衡气相成分、η-产率随温度的变化图以及在不同的压强下α因数随SiHCl3初始物质的量的分数的变化图。热力学研究结果表明,高温、低压和小的SiHCl3/H2初始物质的量的比对SiHCl3还原有利;α因数随着SiHCl3初始物质的量的比x4^0的增大而增大。

关键词：西门子法多晶硅 “Si-Cl-H”体系热力学

西门子体系中SiHCl3和SiCl4的热力学行为

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中国有色金属学报 2008年第10期18卷 1937-1944页

作者：苗军舰丘克强顾珩陈少纯中南大学化学化工学院长沙410083 广州有色金属研究院广州510651

在选取与实际生产相近的温度、氢气配比(H2与SiHCl3的初始比例)和压力的基础上,计算西门子体系中硅源气体SiHCl3的剩余量与副产物SiCl4的生成量,分别绘制二者随所选条件的变化图,并利用这些热力学图,分析温度、氢气配比及压力对西门子... 详细信息

在选取与实际生产相近的温度、氢气配比(H2与SiHCl3的初始比例)和压力的基础上,计算西门子体系中硅源气体SiHCl3的剩余量与副产物SiCl4的生成量,分别绘制二者随所选条件的变化图,并利用这些热力学图,分析温度、氢气配比及压力对西门子法生产多晶硅反应体系中SiHCl3和SiCl4热力学行为影响的规律。结果表明:当压力、氢气配比一定时,SiHCl3的剩余量与温度呈反比,SiCl4的生成量则是先随温度的升高而增加,后又变小;当温度和压力一定时,增大氢气配比SiCl4生成量减少,只有在氢气配比大于5以后SiHCl3的剩余量才与它呈反比关系;当温度和氢气配比一定时,随着压力的降低,SiHCl3的剩余量减少,SiCl4则呈先增加再减少的变化趋势。

关键词： SiHCl3 SiCl4 西门子体系热力学行为