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Convergence analysis of the adaptive finite element method with the red-green refinement

Science China Mathematics 2010年第2期53卷 499-512页

作者： ZHAO XuYing 1, 3 , HU Jun 2,? & SHI ZhongCi 1 1 State key laboratory of Scientific and engineering computing, Institute of Computational Mathematics and Scientific/engineering computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China 2 key laboratory of Mathematics and Applied Mathematics (Peking University), Ministry of Education and School of mathematical Sciences, Peking University, Beijing 100871, China 3 Graduate University of Chinese Academy of Sciences, Beijing 100190, China 1. State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China3. Graduate University of Chinese Academy of Sciences Beijing 100190 China2. Key Laboratory of Mathematics and Applied Mathematics (Peking University) Ministry of Education and School of Mathematical Sciences Peking University Beijing 100871 China

In this paper, we analyze the convergence of the adaptive conforming P 1 element method with the red-green refinement. Since the mesh after refining is not nested into the one before, the Galerkin-orthogonality does not hold for this case. To overcome such a difficulty, we prove some quasi-orthogonality instead under some mild condition on the initial mesh (Condition A). Consequently, we show convergence of the adaptive method by establishing the reduction of some total error. To weaken the condition on the initial mesh, we propose a modified red-green refinement and prove the convergence of the associated adaptive method under a much weaker condition on the initial mesh (Condition B).

关键词： red-green refinement adaptive finite element method convergence non-nested local refinement

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Image encryption algorithm based on DNA sequences for the big image

Image encryption algorithm based on DNA sequences for the bi...

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International Conference on Multimedia Information Networking and Security

作者： Zhou, Shihua Zhang, Qiang Wei, Xiaopeng School of Mechanical Engineering Dalian University of Technology Dalian China Key Laboratory of Advanced Design and Intelligent Computing Dalian University Ministry of Education Dalian China

ISBN: (纸本)9780769542584

With the fast development of Internet technology and information processing technology, the image is commonly transmitted via the Internet. People enjoy the convenience and shortcut, but people have to face to the obsession that the important image information in transmission is easily intercepted by unknown persons or hackers. In order to enhance the image information security, image encryption becomes an important research direction. An image encryption algorithm based on DNA sequences for the big image is presented in this paper. The main purpose of this algorithm is to reduce the big image encryption time. This algorithm is implemented by using the natural DNA sequences as main keys. The first part is the process of pixel scrambling. The original image is confused in the light of the scrambling sequence is generated by the DNA sequence. The second part is the process of pixel replacement. The pixel gray values of the new image and the one of the three encryption templates are generated by the other DNA sequence are XORed bit-by-bit in turn. The experimental result demonstrates that the image encryption algorithm is feasible and simple. Through performance analysis, this algorithm is robust against all kinds of attacks and owns higher security. © 2010 IEEE.

关键词： DNA sequences

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An image encryption algorithm based on DNA self-assembly technology

An image encryption algorithm based on DNA self-assembly tec...

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2010 IEEE International Conference on Intelligent computing and Intelligent Systems, ICIS 2010

ISBN: (纸本)9781424465835

DNA self-assembly that is fast developed in the fields of DNA computing and nano technology has become the focus of scientific fields. DNA self-assembly is a method that uses the characteristics of base-pair to form polyhedron or super molecular structure. This is a complex progress from disordered to well-ordered, from simple to complicated. This paper mainly introduces that the DNA self-assembly technology is applied into the image encryption. In this paper, we proposed a complete design scheme of DNA tiles that is suitable for the image encryption. The DNA tiles mainly include five types, namely DNA tiles of the plaintext, DNA tiles of the encryption, DNA tiles of the cipertext, DNA tiles of the key and DNA tiles of the decryption. Through a simulate example, the effect of the image encryption algorithm is shown. ©2010 IEEE.

关键词： Cryptography

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Multicast grooming algorithm in waveband switching optical networks

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Journal of Lightwave Technology 2010年第19期28卷 2856-2864页

作者： Guo, Lei Wang, Xingwei Cao, Jiannong Hou, Weigang Pang, Lan College of Information Science and Engineering Northeastern University Shenyang 110819 China Department of Computing Hong Kong Polytechnic University Hong Kong Hong Kong State Key Laboratory of Advanced Optical Communication Systems and Networks Peking University Beijing 100871 China

In optical Wavelength-Division-Multiplexing (WDM) networks, multicast becomes more and more popular to provide high-speed communication between one point and multiple points. At the same time, the ports of Optical Cross-Connect (OXC) are greatly enhanced with the increasing number of wavelengths in fibers, and then the waveband switching technique is proposed to save the ports and reduce the cost of OXC. However, current waveband grooming algorithms are all limited in unicast. To achieve the multicast communication and meanwhile save the ports of OXC, we need to solve the multicast grooming, routing and wavelength/waveband assignment problem which is the HP-hard. In this paper, we propose a heuristic algorithm named Integrated Multicast Waveband Grooming (IMWG) based on Multicast Layered Auxiliary Graph (MLAG) that includes a Virtual Topology Layer (VTL) and multiple Waveband-Plane Layers (WPLs) to support the single-hop, multi-hop and hybrid multicast waveband grooming. For each demand, IMWG first computes a single-hop or multi-hop grooming waveband-tree on VTL. If the grooming waveband-tree cannot be found on VTL, IMWG computes a new waveband-tree on WPL. If the new waveband-tree cannot be found on WPL, IMWG computes a hybrid grooming waveband-tree on MLAG. Simulation results show that, compared with other algorithms, IMWG is able to obtain better performances. © 2010 IEEE.

关键词： Multicasting

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Creative design of solar energy portable lamp based on product gene and intuition models

Creative design of solar energy portable lamp based on produ...

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IEEE International Conference on Industrial engineering and engineering Management, IEEM2010

作者： Zhao, Ting-Ting Ju, Zhen-He Wei, Xiao-Peng Li, Xiao-Xiao Department of Information Engineering Shenyang Institute of Engineering Shenyang China Key Laboratory of Advanced Design and Intelligent Computing Dalian University Ministry of Education Dalian China Liaoning Solar Energy R and D Co. Ltd. Shenyang China

ISBN: (纸本)9781424485031

Intuition process is a very essential in the product creative design stage. A new creative design approach is put forward based on product gene and intuition models. The product gene model and its sequential gene manipulation are established. The intuition process reflects that the thinking of human brain produces qualitative change. An approach of intuition simulation is used by Hebb learning law, Hopfield neural networks and crossover and mutation. The calculating models and the calculating formulas for the creative design are put forward. Finally, this essay offers us the applied examples for creative design of solar energy portable lamp. The better results are obtained in the creative design. ©2010 IEEE.

关键词： Solar energy

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Termination of loop programs with polynomial guards

Termination of loop programs with polynomial guards

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2010 International Conference on Computational Science and Its Applications, ICCSA 2010

作者： Wu, Bin Shen, Liyong Bi, Zhongqin Zeng, Zhenbing Shanghai Key Laboratory of Trustworthy Computing East China Normal University Shanghai 200062 China School of Mathematical Sciences Graduate University of CAS Beijing 100049 China College of Computer and Information Engineering Shanghai University of Electric Power Shanghai 200090 China

ISBN: (纸本)3642121888

Termination analysis of loop programs is very important in many applications, especially in those of safety critical software. In this paper, the termination of programs with polynomial guards and linear assignments is simplified to decide solvability of semi-algebraic systems(SAS). If the number of functions are finite or the functions are integer periodic, then the termination of programs is decidable. The discussion is based on simplifying the linear loops by its Jordan form. And then the process to find the nonterminating points for general polynomial guards is proposed. For avoiding floating point computations in the process, a symbolic algorithm is given to compute the Jordan form of a matrix. © 2010 Springer-Verlag Berlin Heidelberg.

关键词： Polynomials

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Design of active control law for aeroelastic system based on proper orthogonal decomposition reduced order model

Design of active control law for aeroelastic system based on...

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作者： Gang, Chen Li, Yueming Hu, Patrick MOE Key Laboratory for Strength and Vibration College of Aerospace Xi'an Jiaotong University Xi'an 710049 China Advanced Dynamics Inc. Lexington KY 40511 China Department of Aerospace Engineering Department of Science Computing and Structure Design

ISBN: (纸本)9781600867422

Currently the highest accurate method for complex aeroelastic system is CFD/CSD coupled numerical simulation. But it is also the least efficient method .So it can't be directly used to design the active control law for aeroelastic system. In order to solve the problem, A reduced order model (ROM) based on time-domain proper orthogonal decomposition (POD) was investigated in this paper. Because the order of time-domain POD/ROM is much higher than frequency-domain POD/ROM, the POD-BT/ROM was developed by introducing the balanced truncation method in control theory. And then the lower order aeroservoelastic model based on POD-BT/ROM was build. The detail of the construction of time-domain POD/ROM and the design of active control law was demonstrated by AGARD 445.6 wing. The numerical results show that the POD/ROM nearly has the same accuracy as the CFD/CSD coupled method and improves the computation efficiency about 1-2 order of magnitude. It's a high efficient and accurate active control law design tool for aeroelastic system.

关键词： Control theory

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An image encryption algorithm based on dual dna sequences for image hiding

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ICIC Express Letters 2010年第4期4卷 1393-1398页

作者： Zhou, Shihua Zhang, Qiang Wei, Xiaopeng School of Mechanical Engineering Dalian University of Technology Dalian China Key Laboratory of Advanced Design and Intelligent Computing Ministry of Education Dalian University Dalian China

Image encryption is one of the most important methods of image information hiding. A new image encryption method based on dual DNA sequences for image hiding is presented in this paper. This method is implemented by using the natural DNA sequence and the chaotic initial value as keys and the chaotic map as main tool to fully exert the special advantages. Firstly, the DNA sequence is used to express the original image has been confused and key DNA sequence are calculated in light of the given definition. Then, the new DNA sequence is confused based on the chaotic sequence is generated by Logistic Mapping. The experimental results and analysis demonstrates that the image encryption algorithm is feasible and highly secure. Moreover, the size of the encrypted image is the same as the original image so that it can be applied for image hiding and be transmitted via the Internet. ICIC International © 2010 ISSN 1881-803X.

关键词： DNA sequences

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Fault diagnosis for switched systems with time delay

Fault diagnosis for switched systems with time delay

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2010 8th IEEE International Conference on Control and Automation, ICCA 2010

作者： Du, Dongsheng Jiang, Bin Shi, Peng College of Automation Engineering Nanjing University of Aeronautics and Astronautics Nanjing 210016 Jiangsu China Aeronautic Science Key Laboratory For Aeronautic Testing and Evaluation China School of Engineering and Science Victoria University Melbourne 8001 VIC Australia Department of Computing and Mathematical Sciences University of Glamorgan Pontypridd CF37 1DL United Kingdom

ISBN: (纸本)9781424451951

This paper investigates the fault diagnosis problem for switched system with time delay. Based on an adaptive fault diagnosis observer, an adaptive estimate algorithm is developed to estimate the fault. The method proposed in this article can not only estimate the fault information quickly and exactly, but also is suitable for two kinds of fault: constant fault and time-varying fault. Simulation results are given to illustrate the effectiveness of the presented method. © 2010 IEEE.

关键词： Failure analysis

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A new image encryption algorithm based on encryption template

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Journal of Information and Computational Science 2010年第8期7卷 1661-1667页

作者： Zhou, Shihua Zhang, Qiang Wei, Xiaopeng School of Mechanical Engineering Dalian University of Technology Dalian 116024 China Key Laboratory of Advanced Design and Intelligent Computing Dalian University Ministry of Education Dalian 116622 China

In order to enhance the image information security, image encryption becomes an important research direction. A new image encryption algorithm based on encryption template is presented in this paper. This algorithm is implemented by using the natural DNA sequences as main keys and the new defined encryption template as main tool to fully exert the special advantages. Firstly, the original image is confused in the light of the chaotic sequence is generated by Logistic Mapping. Secondly, the encryption template is generated by the new given definition in which DNA sequences and chaos game representation are used. Thirdly, the pixel gray values of the new image and the ones of the encryption template are XORed bit-by-bit. The experimental result demonstrates that the image encryption algorithm is feasible and simple. Through performance analysis, this algorithm is robust against all kinds of attacks and owns higher security. Copyright © 2010 Binary Information Press.

关键词： Cryptography

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