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A PARALLEL NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR STOKES PROBLEMS

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Journal of Computational Mathematics 2006年第2期24卷 209-224页

作者： Mei-qun Jiang pei-liang Dai Department of Mathematics Suzhou university Suzhou 215006 China Department of Mathematics Changshu Institute of Technology Changshu 215500 China

A nonoverlapping domain decomposition iterative procedure is developed and analyzed for generalized Stokes problems and their finite element approximate problems in R^N（N=2,3）. The method is based on a mixed-type consistency condition with two parameters as a transmission condition together with a derivative-free transmission data updating technique on the artificial interfaces. The method can be applied to a general multi-subdomain decomposition and implemented on parallel machines with local simple communications naturally.

关键词： Generalized Stokes problem Nonoverlapping Domain decomposition Mixedfinite element Crouzeix-Raviart element.

Stimulus discrimination via responses of retinal ganglion cells and dopamine-dependent modulation

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Neuroscience Bulletin 2013年第5期29卷 621-632页

作者： Hao Li pei-Ji liang School of Biomedical Engineering Shanghai Jiao Tong University

Neighboring retinal ganglion cells（RGCs）fire with a high degree of *** has been increasingly realized that visual perception of the environment relies on neuronal population activity to encode and transmit the information contained in *** how neuronal population activity contributes to visual information processing is essential for understanding the mechanisms of visual *** we simultaneously recorded spike discharges from groups of RGCs in bullfrog retina in response to visual patterns（checkerboard,horizontal grating,and full-field illumination）using a multi-electrode array *** determine the role of synchronous activity mediated by gap junctions,we measured the correct classification rates of single cells＇firing patterns as well as the synchronization patterns of multiple *** found that,under normal conditions,RGC population activity exhibited distinct response features with exposure to different stimulus patterns and had a higher rate of correct stimulus discrimination than the activity of single ***（1μmol/L）application did not significantly change the performance of single neuron activity,but enhanced the synchronization of the RGC population activity and decreased the rate of correct stimulus pattern *** findings suggest that the synchronous activity of RGCs plays an important role in the information coding of different types of visual patterns,and a dopamine-induced increase in synchronous activity weakens the population performance in pattern discrimination,indicating the potential role of the dopaminergic pathway in modulating the population coding process.

关键词： retinal ganglion cells synchronous activity dopamine information coding

Study on supported combined liquid membrane containing HEH(EH)P and HNO_3 for trivalent gadolinium transfer

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Chinese Chemical Letters 2011年第9期22卷 1095-1098页

作者： liang pei Li Ming Wang Key Laboratory of Water Cycle and Related Land Surface Processes Institute of Geographic Sciences and Natural Resources Research Chinese Academy of Sciences Beijing 100101 China Faculty of Water Resources and Hydraulic Power Xi'an University of Technology Xi'an 710048 China

A novel kind of supported combined liquid membrane （SCLM） has been studied for the Gd（IIl） transfer. SCLM contained polyvinylidene fluoride membrane （PVDF） as the liquid membrane support and renewal solution including HNO3 solution as the stripping solution and 2-ethyl hexyl phosphonic acid-mono-2-ethyl hexyl ester （HEH（EH）P） as the carrier dissolved in kerosene. The mixed solution of carrier and kerosene was membrane solution. The optimum transport conditions of Gd（III） were that concentration of HNO3 solution was 4.00 tool/L, concentration of carrier was 0.16 mol/L, and volume ratio of membrane solution to stripping solution was 30：30 of the renewal phase, and pH value was 4.80 of the feed phase. Under the optimum condition studied, when initial concentration of Gd（III） was 1.00 × 10^-4 mol/L, the transfer rate of Gd（III） was 96.8% during 130 min.

关键词： Supported combined liquid membrane 2-Ethyl hexyl phosphonic acid-mono-2-ethyl hexyl ester Renewal phase Gadolinium

Separation of Trivalent Samarium through Facilitated Stripping Dispersion Hollow Fiber Liquid Membrane Using p204 as Mobile Carrier

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Chinese Journal of Chemistry 2011年第6期29卷 1233-1238页

作者： pei, liang Wang, Liming Guo, Wei Key Laboratory of Water Cycle and Related Land Surface Processes Institute of Geographic Sciences and Natural Resources Research Chinese Academy of Sciences Beijing 100101 China School of Environment and Chemistry Engineering Xi'an Polytechnic University Xi'an Shaanxi 710048 China Faculty of Water Resources and Hydraulic Power Xi'an University of Technology Xi'an Shaanxi 710048 China

The separation of Sm（III） through stripping dispersion hollow fiber liquid membrane system （SDHFLM） containing feed phase adding acetate buffer solution and dispersion solution with HC1 solution as the stripping solution and membrane solution of di（2-ethylhexyl） phosphoric acid （p204） dissolved in kerosene, has been studied. A set of factors were studied, including pH value, initial concentration of Sm（III） and different ionic strength of feed phase, volume ratio of membrane solution and stripping solution （O/W）, HC1 concentration, carrier concentration, different stripping agents of dispersion phase on Sm（III） separation. Experimental results indicate that the optimum separa- tion conditions of Sm（III） were obtained as that HC1 concentration was 4.00 tool/L, p204 concentration was 0.150 mol/L, and volume ratio of membrane solution and stripping solution （O/W） was 1.00 in the dispersion phase, and pH value was 4.60 in the feed phase. Ionic strength had no obvious effect on separation of Sm（III）. When initial Sm（III） concentration was 1.00 × 10^-4 mol/L, the separation rate of Sm（III） was up to 93.5% in 85 min. The kinetic equation was developed in terms of the law of mass diffusion and the theory of interface chemistry. The modeled results were in good agreement with the experiment data.

关键词： stripping dispersion hollow fiber liquid membrane di(2-ethylhexyl) phosphoric acid rare earth dispersion phase membrane

Modeling of Ce（IV） transport through a dispersion flat combined liquid membrane with carrier P507

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Frontiers of Environmental Science & Engineering 2014年第4期8卷 503-509页

作者： liang pei Liming WANG Zhanying MA Key Laboratory of Water Cycle and Related Land Surface Processes Institute of Geographical Sciences and Natural Resource Research Chinese Academy of Sciences Beijing 100101 China Faculty of Water Resources and Hydraulic Power Xi'an University of Technology Xi'an 710048 China

A mathematical model for the transport of Ce （IV） from hydrochloric acid solutions through dispersion flat combined liquid membrane （DFCLM） with contain 2- ethyl hexyl phosphonic acid-mono-2-ethyl hexyl ester （P507） as the carrier, dissolved in kerosene as the membrane solution have been studied. This process of facilitated transport, based on membrane technology, is a variation on the conventional technique of solvent extraction and may be described mathematically using Fick＇s second law. The equations for transport velocity are derived considering the diffusion of P507 and its metallic complexes through the liquid membrane. In this work, the system is considered to be in a transient state, and chemical reaction between Ce（IV） and the carrier to take place only at the solvent-aqueous interfaces. Model concentration profiles are obtained for the Ce（IV）, from which extraction velocities are predicted. The experimental and simulated Ce（IV） extractions showed similar tendencies for a high Ce （IV） concentration and acidity *** model results indicate that high initial Ce（IV） concentrations and acidity both have detrimental effects on Ce（IV） extraction and stripping. The diffusion coefficient of Ce（IV） in the membrane and the thickness of diffusion layer between feed phase and membrane phase are obtained and the values are 6.31 × 10-8m2·s-1 and 31.2 μm, respectively. The results are in good agreement with experimental results.

关键词： Dispersion fiat combined liquid membrane (DFCLM) dispersion phase feed phase 2-ethyl hexyl phosphonic acid-mono-2-ethyl hexyl ester Ce (IV)

Quantum Binary Symmetric Channels

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Chinese Physics Letters 2001年第6期18卷 721-723页

作者： CHEN Xiao-Yu QIU pei-liang Division of Physics China Institute of MetrologyHangzhou 310034 Department of Information Science and Electronic Engineering Zhejiang UniversityHangzhou 310027

Quantum binary symmetric channels are defined via the invariance of fidelity under unitary transformations of the input density operators. In this definition, they not only include the most studied case of the depolarizing channel but also other channels. We investigate the character of the latter and find the maximum of the coherent information to estimate the capacities of the channels.

关键词： operators. latter unitary

Kinetics of recrystallization for twin-roll casting AZ31 magnesium alloy during homogenization

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International Journal of Minerals,Metallurgy and Materials 2011年第5期18卷 570-575页

作者： Hu Zhao pei-jie Li liang-ju He National Center of Novel Materials for International Research Tsinghua University Beijing 100084 China

The kinetics of recrystallization for twin-roll casting AZ31 magnesium alloy with different thicknesses during homogenization was *** is shown that fine grains are first formed at the boundaries of deformed bands in the twin-roll casting *** recrystallized grains with no strain are gradually substituted for the deformed microstructure of twin-roll casting AZ31 magnesium *** incubation temperature and time for the recrystallization of a twin-roll casting AZ31 magnesium alloy strip with a thickness of 3 mm are lower and shorter than those of the 6-mm thick strip,*** 3-mm thick twin-roll casting magnesium alloy has finer grains than the 6-mm thick *** activation energies of recrystallization for twin-roll casting AZ31 magnesium alloy slabs with the thickness of 3 and 6 mm are 88 and 69 kJ/mol,*** kinetics curves of recrystallization for twin-roll casting AZ31 magnesium alloy were obtained.

关键词： magnesium alloys twin-roll casting homogenization kinetics grain size

Isogeometric Analysis for the Arbitrary AFG Microbeam with Two-Phase Nonlocal Stress-Driven Model

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Acta Mechanica Solida Sinica 2024年第2期37卷 341-360页

作者： pei-liang Bian Zhaowei Liu Hai Qing Tiantang Yu Department of Engineering Mechanics Hohai UniversityNanjing211100China State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and AstronauticsNanjing210016China

Scale effects play critical roles in the mechanical responses of *** isogeometric analysis was developed here to investigate the mechanical responses of an axially functionally graded *** Euler–Bernoulli beam model was utilized,and size effects in the structure were modeled with a stress-driven two-phase local/nonlocal integral *** governing equation of microstructures was given in an equivalent differential form with two additional constitutive boundary *** framework was verified and utilized to analyze the microbeam’s static and dynamic mechanical *** present work showed great potential for modeling various types of functionally graded microstructures.

关键词： Isogeometric analysis Size effect Functionally graded material Nonlocal theory Euler-Bernoulli beam

On Wyner-Ziv Problem for general sources with average distortion criterion

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2007年第8期8卷 1263-1270页

作者： YANG Sheng-tian ZHAO Min-jian QIU pei-liang Department of Information Science and Electronic Engineering Zhejiang University Hangzhou 310027 China

The Wyner-Ziv Problem for general sources with average distortion under fixed-length coding is investigated in this paper. To solve the problem,an enhanced covering lemma for a Markov chain is first established. Then based on the lemma,a general formula for the rate-distortion function of the problem is derived,where the distortion is only assumed uniformly bounded and may be nonadditive. Finally,it is further pointed out that such methods can be used to establish more general results on multiterminal source coding problems.

关键词： Rate-distortion with side information Information spectrum Fixed-length coding Average distortion criterion