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ON THE DOMAIN DECOMPOSITION METHOD FOR MORLEYELEMENT-FROM WEAK OVERLAP TO NONOVERLAP

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Journal of Computational Mathematics 1999年第6期17卷 615-628页

作者： Jian-guo Huang(Department of Applied Mathematics, shanghai Jiao Tong University, shanghai 200240,China) shanghai Jiao Tong Univ Dept Math Appl Shanghai 200240 Peoples R China

In this paper, following our original ideas[9], we first consider a weakly overlapping additive Schwarz preconditioner according to the framework of [2] for Morley element and show that its condition number is quasi-optimal; we then analyze in detail the structure of this preconditioner, and after proper choices of the inexact solvers, we obtain a quasi-optimal nonoverlapping domain decomposition preconditioner in the last. Compared with [12], [13], it seems that according to this paper's procedure we can make out more thoroughly the relationship between overlapping and nonoverlapping domain decomposition methods for nonconforming plate elements, and certainly, we have also proposed another formal and simple strategy to construct nonoverlapping domain decomposition preconditioners for nonconforming plate elements.

关键词： Morley element domain decomposition weak overlap

THE SCHWARZ CHAOTIC RELAXATION METHOD WITH INEXACT SOLVERS ON THE SUBDOMAINS

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Journal of Computational Mathematics 1999年第2期17卷 125-132页

作者： Jian-guo Huang(Department of Applied Mathematics, shanghai Jiao Tong University,shanghai 200240, China) 上海交通大学应用数学系上海

In this paper, a S-CR method with inexact solvers on the subdomains is presented, and then its convergence property is proved under very general conditions. This result is important because it guarantees the effective... 详细信息

关键词： S-CR method chaotic algorithm inexact solvers

A New Measurement Method for Unbalanced Moments in a Two-axis Gimbaled Seeker

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Chinese Journal of Aeronautics 2010年第1期23卷 117-122页

作者： Yu Shuang,Zhao Yanzheng School of Mechanical Engineering,shanghai Jiaotong University,shanghai 200240,China [a] School of Mechanical Engineering Shanghai Jiaotong University Shanghai 200240 China

This article presents a novel method to measure unbalanced moments in a two-axis gimbaled seeker commonly believed to seviously influence the tracking accuracy and stabilizing capability. This method enables individual measurement of unbalanced moments, and judgment of the seeker＇ s status-balanced or not. Furthermore, an instrument is designed based on this method and calibrated. The effectiveness of the proposed method is validated through a simulation. The experimental results show a satisfied level of accuracy the measurements have. This work forms a basis for the further development of a more stabilized gimbaled seeker with less induced vibration and consumed power.

关键词： gimbaled seeker weight sensors measurement unbalanced

A note on the 2-connectivity in one-dimensional ad hoc networks

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Science China(Information Sciences) 2011年第1期54卷 123-128页

作者： SHANG YiLun Department of Mathematics,shanghai Jiao Tong University, shanghai 200240,China 1. Department of Mathematics Shanghai Jiao Tong University Shanghai 200240 China

2-connectivity is the basic graph theoretical metric for fault tolerance to node failures,and it is an extremely desirable property in network *** a one-dimensional finite ad hoc network formed by n nodes uniformly and independently distributed in a closed interval[0,z](z∈R+),we give a closed form expression for the probability that a connected one-dimensional finite ad hoc network becomes disconnected after removing a *** also sketch a procedure of finding the exact formula for 2-connectivity in a one-dimensional ad hoc network.

关键词： ad hoc network one-dimensional network 2-connectivity

Some variational principles in electroelastic media under finite deformation

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Science China(Physics,Mechanics & Astronomy) 2008年第9期51卷 1390-1402页

作者： KUANG ZhenBang Department of Engineering Mechanics,shanghai Jiaotong University,shanghai 200240,China Department of Engineering Mechanics Shanghai Jiaotong University Shanghai 200240 China

It is proposed that the universal thermodynamic energy variational principle is in-cluded in the first law of thermodynamics. Some variational principles in the elec-troelastic media under finite deformation are derived from this universal thermo-dynamic variational principle. It is suggested that in the general electroelastic analysis the environment should be considered together with the discussed elec-troelastic medium. For the variational principle of nonlinear electroelastic media the variation of the electric potential is coupled with the virtual displacement,and the variation of the initial volume should be considered. The Maxwell stress in the initial configuration is naturally derived from this variational principle and it is unique in the second order precision.

关键词： first law of thermodynamics variational principle the electroelastic media the governing equation

Quantitative result on stability for delay difference systems

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Chinese Science Bulletin 1997年第22期42卷 1858-1861页

作者： ZHANG ShunianDepartment of Applied Mathematics, shanghai Jiaotong University, shanghai 200240, China Department of Applied Mathematics Shanghai Jiaotong University Shanghai China

IN ref. [1] we have established the stability criteria for the finite delay difference systems ofthe general form in terms of the discrete Liapunov functionals as well as Liapunov *** then, some other results have app... 详细信息

关键词： quadratic delay difference systems uniform stability uniform asymptotic stability stability region asymptotic stability region.

WATER ENTRY OF A WEDGE BASED ON SPH MODEL WITH AN IMPROVED BOUNDARY TREATMENT

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Journal of Hydrodynamics 2009年第6期21卷 750-757页

作者： GONG Kai LIU Hua WANG Ben-long Department of Engineering Mechanics Shanghai Jiao Tong University Shanghai 200240 China State Key Laboratory of Ocean Engineering Shanghai Jiao Tong University Shanghai 200240 China

The hydrodynamic problem of a two-dimensional wedge entering water is studied based on Smoothed Particle Hydrodynamics （SPH） model. A non-reflection boundary treatment for SPH method is proposed to reduce the reflection of sound waves. The boundary pressure is obtained using an improved coupling boundary treatment approach, which is validated by comparing the simulation results with experimental and analytical results in literature. A series of cases with different initial entering velocities are simulated. The maximum force on the wedge and the corresponding time required to reach it for the different cases of initial entering velocities of the wedge are obained and fitted into formulas against the initial entering velocity of the wedge. The maximum drag coefficients of the wedge for the different cases with Froude number greater than 2 are all near the value of 0.91.

关键词： water entry Smoothed Particle Hydrodynamics (SPH) non-reflection boundary

Comprehensive Evaluation Method of Urban Remnant Natural Area: A Case study of shanghai, China

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Journal of shanghai Jiaotong university(Science) 2008年第5期13卷 589-594页

作者：车生泉王云宫宾 College of Agriculture and Biology Shanghai Jiaotong University

Urban remnant natural area (URNA), located in the urban or suburb area, less disturbed by dwellers in the process of urbanization, is an important part of complex urban ecosystem and provides significant opportunity for urban sustainable development. Despite that there is a considerable amount of scientific researches on the urban nature in urban and suburb area, the comprehensive research of URNA is still rare. After analyzing the concept and value of URNA, this paper presented a methodology for comprehensive evaluation of URNA by adopting methods of document analysis, prior-selection process, analytic hierarchy process and vector resemblance-degree. As a result, the comprehensive evaluation index of URNA includes target level A, rule level B(ecological environment value, ecological recreation value, social culture value, scientific research value), index level C( diversity,singularity,nature,area,stability,recreation,landscape element,aesthetics,history,scientific), and index level D(20 items). Each index weight of comprehensive evaluation system of URNA of shanghai was confirmed finally.

关键词： urban remnant natural area (URNA) urban nature preservation ecological planning compre- hensive evaluation

REGULARITY RESULTS FOR SOME QUASI-LINEAR ELLIPTIC SYSTEMS INVOLVING CRITICAL EXPONENTS

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Chinese Annals of Mathematics,Series B 2005年第1期26卷 119-126页

作者： HUYEXIN LIJUAN DepartmentofMathematics ShanghaiJiaotongUniversityShanghai200240China DepartmentofMathematics ShanghaiJiaotongUniversityShanghai200240China.

The authors show the regularity of weak solutions for some typical quasi-linear elliptic systems governed by two p-Laplacian operators. The weak solutions of the following problem with lack of compactness are proved t... 详细信息

关键词： Elliptic equation system p-Laplacian operator Critical Sobolev exponent Regularity