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Effects of Sc Content on Microstructure and Thermophysical Properties of Al-xSc Alloys
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作者 Wu Daogao Zhang Lu +8 位作者 Xu Minglei Feng Jing Li Shuan Zhang Xiaowei Wang Zhiqiang Yang Hongbo Dong Ruifeng Chen Xihao Wang Ning 《稀有金属材料与工程》 北大核心 2025年第9期2220-2230,共11页
AlScN piezoelectric films prepared by AlSc alloy sputter targets are essential materials for 5G radio frequency filters.The thermophysical properties of AlSc alloy targets are closely related to their welding processe... AlScN piezoelectric films prepared by AlSc alloy sputter targets are essential materials for 5G radio frequency filters.The thermophysical properties of AlSc alloy targets are closely related to their welding processes and applications.Al-xSc alloys(x=5,10,15,20,25,at%)were prepared by vacuum induction melting,whose purity is mainly determined by the raw materials and the production process.The results reveal that as the Sc content increases from 5at%to 20at%,the volume fraction of the Al_(3)Sc phase in the alloy increases from 26.9%to 80.2%,and the average grain size of the Al_(3)Sc phase increases from 12.9μm to 67.7μm during this period.Additionally,both the coefficient of thermal expansion(CTE)and thermal conductivity(TC)of AlSc alloys exhibit a downward trend.Based on experimental data and first-principles calculations,the effective medium theory and the Turner model effectively predict the TC and CTE of Al-xSc alloys.The optimal characteristic parameter(k0)of the Turner model is determined to be 50.The model predictions align well with the experimental results. 展开更多
关键词 AlSc alloys first principles MICROSTRUCTURE thermophysical properties
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Pitch Motion Analysis of a Submerged Cylindrical Structure in a Two-layer Fluid
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作者 Champak Kr.Neog Mohammad Hassan 《哈尔滨工程大学学报(英文版)》 2025年第5期984-997,共14页
This study investigates the effects of radiation force due to the rotational pitch motion of a wave energy device,which comprises a coaxial bottom-mounted cylindrical caisson in a two-layer fluid,along with a submerge... This study investigates the effects of radiation force due to the rotational pitch motion of a wave energy device,which comprises a coaxial bottom-mounted cylindrical caisson in a two-layer fluid,along with a submerged cylindrical buoy.The system is modeled as a two-layer fluid with infinite horizontal extent and finite depth.The radiation problem is analyzed in the context of linear water waves.The fluid domain is divided into outer and inner zones,and mathematical solutions for the pitch radiating potential are derived for the corresponding boundary valve problem in these zones using the separation of variables approach.Using the matching eigenfunction expansion method,the unknown coefficients in the analytical expression of the radiation potentials are evaluated.The resulting radiation potential is then used to compute the added mass and damping coefficients.Several numerical results for the added mass and damping coefficients are investigated for numerous parameters,particularly the effects of the cylinder radius,the draft of the submerged cylinder,and the density proportion between the two fluid layers across different frequency ranges.The major findings are presented and discussed. 展开更多
关键词 Pitch radiation Eigenfunction expansion Two-layer Hydrodynamic coefficients Submerged cylinder Bottom-mounted cylinder
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ASYMPTOTIC STABILIZATION IN A TWO-DIMENSIONAL SINGULAR CHEMOTAXIS-NAVIER-STOKES SYSTEM WITH INDIRECT SIGNAL CONSUMPTION
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作者 Feng DAI Bin LIU 《Acta Mathematica Scientia》 2025年第4期1355-1383,共29页
This paper deals with the singular chemotaxis-Navier-Stokes system with indirect signal consumption n_(t)+u·▽v=△n-Х▽·(n/v▽u);v_(t)+u·▽v=△v-uw;w_(t)+u·▽w=△w-w+n;u_(t)+(u·▽)u=△u-▽P+... This paper deals with the singular chemotaxis-Navier-Stokes system with indirect signal consumption n_(t)+u·▽v=△n-Х▽·(n/v▽u);v_(t)+u·▽v=△v-uw;w_(t)+u·▽w=△w-w+n;u_(t)+(u·▽)u=△u-▽P+n▽Ф;▽·u=0,x∈Ω,t>0 in a bounded and smooth domainΩ⊂ℝ2 with no-flux/no-flux/no-flux/no-slip boundary conditions,whereΦ∈W2,∞(Ω).A recent literature[Dai F,Liu B.J Differential Equations,2023,369:115–155]has proved that for all reasonably regular initial data,the associated initial-boundary value problem possesses a global classical solution,but qualitative information on the behavior of solution has never been touched so far.In stark contrast to the positive effect of indirect signal consumption mechanism on the global solvability of system,the analysis of asymptotic behavior of solution to the system with indirect signal consumption is essentially complicated than that with direct signal consumption because the favorable coupled structure between cells and signal is broken down by the indirect signal consumption mechanism.The present study shows that the global classical solution exponentially stabilizes toward the corresponding spatially homogeneous equilibria under a smallness condition on the initial cell mass.In comparison to the previously known result concerning the uniform convergence of solution to the system with direct signal consumption,our result inter alia provides a more in-depth understanding on the asymptotic behavior of solution. 展开更多
关键词 chemotaxis-Navier-Stokes system singular sensitivity indirect signal consumption asymptotic stabilization
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Numerical Modelling of Oblique Wave Interaction with Dual Curved-LEG Pontoon Floating Breakwaters
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作者 Jothika Palanisamy Chandru Muthusamy Higinio Ramos 《Computer Modeling in Engineering & Sciences》 2025年第11期2017-2038,共22页
This study investigates the performance of dual curved-leg pontoon floating breakwaters in finite water depth under the assumption of linear wave theory. The analysis is carried out for four different models of curved... This study investigates the performance of dual curved-leg pontoon floating breakwaters in finite water depth under the assumption of linear wave theory. The analysis is carried out for four different models of curvedleg geometries, which are combinations of convex and concave shapes. The models are classified as follows. Model-1: Seaside and leeside face concave, Model-2: Seaside and leeside face convex, Model-3: Seaside face convex and leeside face concave, and Model-4: Seaside face concave and leeside face convex. The Boundary Element Method is utilized in order to find a solution to the associated boundary value problem. The numerical results are validated against existing analytical and experimental data. Further, the study examines the wave reflection, wave transmission, and the hydrodynamic forces acting on the structure for different values of waves and structural parameters. Overall, the different dual curved-leg pontoon breakwaters are more effective, reducing wave transmission by over 15% and increasing wave reflection by more than 5% compared to traditional models. The study shows that the wave reflected by Model 1 significantly increased and attenuated the wave transmission relative to other models. The study found that the height of the curved-leg of Model 1 plays a critical role in blocking waves and redirecting the flow. More precisely, the present analysis concludes that the hydrodynamic performance of Model-1 presents an optimized breakwater design that outperforms the proposed models. 展开更多
关键词 Floating breakwater boundary element method reflection coefficient transmission coefficient hydrodynamic force surface elevation
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HIGH-ORDER COMPACT DIFFERENCE METHODS FOR 2D SOBOLEV EQUATIONS WITH PIECEWISE CONTINUOUS ARGUMENT
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作者 Chengjian ZHANG Bo HOU 《Acta Mathematica Scientia》 2025年第5期1855-1878,共24页
This paper deals with numerical computation and analysis for the initial boundary problems of two dimensional(2D)Sobolev equations with piecewise continuous argument.Firstly,a two-level high-order compact difference m... This paper deals with numerical computation and analysis for the initial boundary problems of two dimensional(2D)Sobolev equations with piecewise continuous argument.Firstly,a two-level high-order compact difference method(HOCDM)with computational accuracy O(τ^(2)+h_(x)^(4)+h_(y)^(4))is suggested,whereτ,h_(x),h_(y) denote the temporal and spatial stepsizes of the method,respectively.In order to improve the temporal computational accuracy of this method,the Richardson extrapolation technique is used and thus a new two-level HOCDMis derived,which is proved to be convergent of order four both in time and space.Although the new two-level HOCDM has the higher computational accuracy in time than the previous one,it will bring a larger computational cost.To overcome this deficiency,a three-level HOCDM with computational accuracy O(τ^(4)+h_(x)^(4)+h_(y)^(4))is constructed.Finally,with a series of numerical experiments,the theoretical accuracy and computational efficiency of the above methods are further verified. 展开更多
关键词 delay Sobolev equations piecewise continuous argument compact difference methods Richardson extrapolation error analysis
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ASYMPTOTICS OF LARGE DEVIATIONS OF FINITE DIFFERENCE METHOD FOR STOCHASTIC CAHN-HILLIARD EQUATION
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作者 Diancong JIN Derui SHENG 《Acta Mathematica Scientia》 2025年第3期1078-1106,共29页
In this work, we first derive the one-point large deviations principle (LDP) for both the stochastic Cahn–Hilliard equation with small noise and its spatial finite difference method (FDM). Then, we focus on giving th... In this work, we first derive the one-point large deviations principle (LDP) for both the stochastic Cahn–Hilliard equation with small noise and its spatial finite difference method (FDM). Then, we focus on giving the convergence of the one-point large deviations rate function (LDRF) of the spatial FDM, which is about the asymptotical limit of a parametric variational problem. The main idea for proving the convergence of the LDRF of the spatial FDM is via the Γ-convergence of objective functions. This relies on the qualitative analysis of skeleton equations of the original equation and the numerical method. In order to overcome the difficulty that the drift coefficient is not one-sided Lipschitz continuous, we derive the equivalent characterization of the skeleton equation of the spatial FDM and the discrete interpolation inequality to obtain the uniform boundedness of the solution to the underlying skeleton equation. These play important roles in deriving the T-convergence of objective functions. 展开更多
关键词 large deviations rate function finite difference method convergence analysis F-convergence stochastic Cahn-Hilliard equation
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Application of a Regional Data Set of the Housing Sector for Hydrogen Storage-Supported Energy System Planning
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作者 Steffen Schedler Michael Bareev-Rudy +1 位作者 Stefanie Meilinger Tanja Clees 《Energy Engineering》 2025年第5期1755-1770,共16页
Germany aims to achieve a national climate-neutral energy system by 2045.The residential sector still accounts for 29%of end energy consumption,with 74%attributed to the direct use of fossil fuels for heating and hot ... Germany aims to achieve a national climate-neutral energy system by 2045.The residential sector still accounts for 29%of end energy consumption,with 74%attributed to the direct use of fossil fuels for heating and hot water.In order to reduce fossil energy use in the household sector,great efforts are being made to design new energy concepts that expand the use of renewable energies to supply electricity andheat.Onepossibility is toconvertparts of the natural gas grid to a hydrogen-based gas grid to deliver and store energy for urban quarters of buildings,especially with older building stock where electrification of heat via heat pumps is difficult due to technical,acoustical,and economic reasons.A comprehensive dataset was generated by a bottom-up analysis with open governmental and statistical data to determine regional building types regarding energy demand,solar potential,and existing grid infrastructure.The buildings’connections to the electricity,gas,and district heating networks are considered.From this,a representative sample dataset was chosen as input for a newly developed energy system model based on energy flow simulation.The model simulates the interaction of hydrogen generation(HG)(from excess solar energy by electrolysis),storage in a metal-hydride storage(MHS)tank,and hydrogen use in a connected fuel cell(FC),forming a local PVPtGtHP(Photovoltaic Power-to-Gas-to-Heat-and-Power)network.Next to the seasonal hydrogen storage path(HSP),a battery will complete the system to forma hybrid energy storage system(HESS).Paired with seasonal time series for PV power,electricity and heat demand,and a model for connection to grid infrastructure,the simulation of different hydrogen applications and MHS placements aims to analyze operating times and energy share of the systems’equipment and existing infrastructure.The method to obtain the data set together with the simulationmodel presented can be used by energy planners for cities,communities,and building developers to analyze the potentials of a quarter or region and plan a transition towards a more energy-efficient and sustainable energy system. 展开更多
关键词 Hydrogen storage hybrid energy storage system simulation housing sector energy share
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Finite element analysis of copper nanoparticles in Boger fluid:Effects of dynamic inter-particle spacing,nanolayer thermal conductivity,nanoparticles diameter,and thermal radiation over a stretching sheet
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作者 Qadeer Raza Xiaodong Wang +2 位作者 Tahir Mushtaq Bagh Ali Nehad Ali Shah 《Chinese Physics B》 2025年第11期416-429,共14页
This study explores the magnetohydrodynamic(MHD)boundary layer flow of a water-based Boger nanofluid over a stretching sheet,with particular focus on the influences of nanoparticle diameter,nanolayer effects,and therm... This study explores the magnetohydrodynamic(MHD)boundary layer flow of a water-based Boger nanofluid over a stretching sheet,with particular focus on the influences of nanoparticle diameter,nanolayer effects,and thermal radiation.The primary aim is to examine how variations in nanoparticle size and nanolayer thickness affect the hydrothermal behavior of the nanofluid.The model also incorporates the contributions of viscous dissipation and Joule heating within the heat transfer equation.The governing momentum and energy equations are converted into dimensionless partial differential equations(PDEs)using appropriate similarity variables and are numerically solved using the finite element method(FEM)implemented in MATLAB.Extensive validation of this method confirms its reliability and accuracy in numerical solutions.The findings reveal that increasing the diameter of copper nanoparticles significantly enhances the velocity profile,with a more pronounced effect observed at wider inter-particle spacings.A higher solvent volume fraction leads to decreased velocity and temperature distributions,while a greater relaxation time ratio improves velocity and temperature profiles due to the increased elastic response of the fluid.Moreover,enhancements in the magnetic parameter,thermal radiation,and Eckert number lead to an elevation in temperature profiles.Furthermore,higher nanolayer thickness reduces the temperature profile,whereas particle radius yields the opposite outcome. 展开更多
关键词 finite element method Boger nanofluid thermal radiation nanoparticles diameter nanolayer thermal conductivity inter-particle spacing
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Unraveling key factors that influence and shape fluid flow dynamics in Brazilian salt Lagoon stromatolites: A case study in pre-salt analogues
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作者 Herson Oliveira da Rocha Roseane Marchezi Missagia +5 位作者 Marco Antonio Rodrigues de Ceia Andre Oliveira Martins Rafaella Rocha Baggieri Irineu de Azevedo Lima Neto Victor Hugo Santos Lucas Cesar Oliveira 《Petroleum Science》 2025年第3期1080-1097,共18页
This study analyzes Brazilian stromatolites in Lagoa Salgada,serving as analogs for pre-salt rocks in the Santos and Campos basins.Despite their excellent petrophysical properties,such as high porosity and permeabilit... This study analyzes Brazilian stromatolites in Lagoa Salgada,serving as analogs for pre-salt rocks in the Santos and Campos basins.Despite their excellent petrophysical properties,such as high porosity and permeability,these reservoirs present challenges in fluid flow modeling and simulation.The research investigates various factors influencing the development of carbonate reservoirs,including diagenetic processes employing several techniques,such as microcomputed tomography(micro-CT)and digital rock physics(DRP),to study petrophysical and geological characteristics.Additionally,through numerical simulations,the properties of fluid flow in different microfacies of stromatolites are estimated,with particular emphasis on understanding and highlighting changes in the direction of fluid flow in the three characterized microfacies.These findings offer crucial insights into optimizing oil and gas exploration and production techniques in carbonate reservoirs,providing a comprehensive understanding of the dynamics of fluid transport in porous media,especially in terms of directional changes within stromatolites. 展开更多
关键词 Fluid dynamics in stromatolites Carbonate reservoirs Numerical simulation Pre-salt analogs
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Exploring COPD Patient Clusters and Associations with Health-Related Quality of Life Using A Machine Learning Approach:A Nationwide Cross-Sectional Study
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作者 Chao Wang Fengyun Yu +9 位作者 Zhong Cao Ke Huang Qiushi Chen Pascal Geldsetzer Jinghan Zhao Zhoude Zheng Till Bärnighausen Ting Yang Simiao Chen Chen Wang 《Engineering》 2025年第7期220-228,共9页
Chronic obstructive pulmonary disease(COPD)is a complex condition marked by considerable interindividual heterogeneity.Comorbidities exacerbate this variability,worsening disease severity and reducing health-related q... Chronic obstructive pulmonary disease(COPD)is a complex condition marked by considerable interindividual heterogeneity.Comorbidities exacerbate this variability,worsening disease severity and reducing health-related quality of life(HRQoL).Despite the high prevalence of COPD in China,COPD patient clusters remain poorly characterized.This study aimed to identify and validate clusters of Chinese patients with COPD,characterized primarily by comorbidity profiles,using cluster analysis.This cross-sectional,multicenter cohort study used data from the Chinese Enjoying Breathing Program(2020–2023).HRQoL was measured using the EuroQol five dimension(EQ-5D).Dimension reduction was performed via multiple correspondence analysis on 31 variables,including indicators of 27 comorbidities and four sociodemographic or health-related characteristics.Unsupervised machine learning algorithms,K-means++,and hierarchical clustering identified distinct clusters.Robustness was assessed using random forest classification.Logistic regression evaluated the association between cluster membership and EQ-5D outcomes.Among 11145 patients,59.4%had comorbidities.Four clusters emerged:young male smokers,biomass-exposed females,respiratory comorbidity,and elderly multimorbid.The last two clusters had notably lower HRQoL.Cluster analysis identified four clinically meaningful COPD patient clusters based on comorbidities and risk profiles,each with distinct HRQoL outcomes.These findings support targeted public health interventions and integrated care strategies for COPD management. 展开更多
关键词 Chronic obstructive pulmonary disease COMORBIDITY Cluster analysis Health-related quality of life Public health
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微尺度气体润滑的非平衡流效应分析 被引量:1
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作者 杨琴 张海军 +1 位作者 沈剑英 顾晓军 《真空科学与技术学报》 CSCD 北大核心 2017年第10期1026-1031,共6页
微尺度气体润滑中,引起微尺度气体润滑压力降低的原因在于润滑流的非平衡流效应。微尺度气体润滑的非平衡流效应不仅会引起壁面气流速度滑移,而且会引起润滑气流热通量的变化。本文首先给出了基于Boltzmann矩方程的微尺度气体润滑模型(... 微尺度气体润滑中,引起微尺度气体润滑压力降低的原因在于润滑流的非平衡流效应。微尺度气体润滑的非平衡流效应不仅会引起壁面气流速度滑移,而且会引起润滑气流热通量的变化。本文首先给出了基于Boltzmann矩方程的微尺度气体润滑模型(矩方程润滑模型);其次,与FK润滑模型和直接模拟Monte Carlo方法的分析结果比较,验证基于矩方程润滑模型的有效性;再次,基于矩方程润滑模型,分析不同轴承数情形下微尺度气体润滑的非平衡流效应。研究表明,随着轴承数的增大,微尺度气体润滑的非平衡流效应增强,表现为壁面速度滑移及热通量均增大。与壁面速度滑移的变化相反,随着轴承数的增大,非平衡流效应引起气膜压力及承载力的变化较小。这一反常现象的原因在于气体的可压缩性。 展开更多
关键词 微尺度气体润滑 非平衡流 速度滑移 热通量
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角质层渗透性质的三维数值模拟
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作者 刘宇红 Dirk Feuchter +2 位作者 Gabriel Wittum 张恩平 曾衍钧 《航天医学与医学工程》 CAS CSCD 北大核心 2004年第4期251-255,共5页
目的从数值模拟的角度研究药物渗透皮肤角质层的过程,为实际的药物工作者提供理论上的指导和帮助。方法用有限元方法离散偏微分方程的差分格式,将角质层的角蛋白细胞近似为物理学上经典的由6个四边形和8个六边形围成的三维十四面体结构... 目的从数值模拟的角度研究药物渗透皮肤角质层的过程,为实际的药物工作者提供理论上的指导和帮助。方法用有限元方法离散偏微分方程的差分格式,将角质层的角蛋白细胞近似为物理学上经典的由6个四边形和8个六边形围成的三维十四面体结构,同时将角蛋白细胞间的脂质体视为十四面体结构的一部分,离散其相应的单元网格。结果得到了药物渗透皮肤角质层的三维数值模拟,并给出了模拟过程中浓度和速度变化的可视化效果示意图。结论本文所采用的几何模型与实际的生理结构模型非常接近,数值模拟结果证明这一方法对实际工作有参考意义。 展开更多
关键词 角质层 渗透 十四面体 数值模拟 三维模型
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角质层渗透性质的有限元数值模拟计算
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作者 刘宇红 Dirk Feuchter +2 位作者 Gabriel Wittum 张恩平 曾衍钧 《中国生物医学工程学报》 CAS CSCD 北大核心 2006年第2期219-223,共5页
角质层是皮肤屏障作用的最主要部分,它决定可外界物质对皮肤的渗透情况。本研究在假设角质层细胞为一种三维的十四面体(物理学经典的Tetrakaidecahedron体)下,进行对角质层渗透性质的数值模拟工作。为此,首先完成了对角质层空间结构的... 角质层是皮肤屏障作用的最主要部分,它决定可外界物质对皮肤的渗透情况。本研究在假设角质层细胞为一种三维的十四面体(物理学经典的Tetrakaidecahedron体)下,进行对角质层渗透性质的数值模拟工作。为此,首先完成了对角质层空间结构的网格拆分,拆分过程分两步进行:首先对角蛋白细胞的网格拆分;然后对角蛋白细胞周围的网状脂质体的网格拆分。在数值模拟过程中,则用有限元法得到方程的离散格式,用多重网格算法降低高频误差,提高计算精度。最后,给出了数值模拟结果的可视化效果图。 展开更多
关键词 角质层 Tetrakaidecahedron 网格拆分 有限元方法
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一类非稳态热耦合方程组解的存在性
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作者 李刚 王会 +1 位作者 朱江 许志奋 《南京气象学院学报》 CSCD 北大核心 2008年第4期580-586,共7页
研究了一类椭圆抛物耦合方程组解的存在性。在假设耦合系数σ(s)、κ(s)∈W1,∞(R),b∈[L∞(Ω)]2,c∈L∞(Ω)且满足c-1/2▽.b≥-(κ1-α)λ1条件下,λ1为-Δ的第一特征值,α>0。运用Faedo-Galerkin方法构造近似解,首先得出近似解在... 研究了一类椭圆抛物耦合方程组解的存在性。在假设耦合系数σ(s)、κ(s)∈W1,∞(R),b∈[L∞(Ω)]2,c∈L∞(Ω)且满足c-1/2▽.b≥-(κ1-α)λ1条件下,λ1为-Δ的第一特征值,α>0。运用Faedo-Galerkin方法构造近似解,首先得出近似解在局部时间内存在,然后得出一些近似解的先验估计证明解可以延拓到区间[0,T],利用紧性定理得出解关于时间t和n无关,最后对逼近方程取极限,得出解整体存在。若耦合系数σ(s)、κ(s)退化,构造其截断函数,仍可得出解存在且有界。 展开更多
关键词 耦合方程组 存在性 Faedo—Galerkin方法 退化
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一种多层三维几何结构的网格拆分方法
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作者 刘宇红 Dirk Feuchter +1 位作者 Gabriel Wittum 曾衍钧 《北京工业大学学报》 CAS CSCD 北大核心 2006年第4期370-374,共5页
为了采用偏微分方程求解流体的多层复杂几何结构的渗透性质,本文提出了一种多层三维复杂几何结构的网格拆分方法,尤其对多层结构中的核心——1个由6个四边形和8个六边形围成的十四面体(即物理学上经典的Tetrakaidecahedron体)的空间拓... 为了采用偏微分方程求解流体的多层复杂几何结构的渗透性质,本文提出了一种多层三维复杂几何结构的网格拆分方法,尤其对多层结构中的核心——1个由6个四边形和8个六边形围成的十四面体(即物理学上经典的Tetrakaidecahedron体)的空间拓扑几何结构进行了详细的分析.在完成单元体向整体结构拼接的过程中,采用一种将单元体视为内外两层的思路,既有效地存贮了网格点的信息,又大大减少计算量.并讨论了影响十四面体几何性质的参数对所生成的网格性质的影响. 展开更多
关键词 十四面体 网格拆分 线性格点模型
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面向复杂多流形高维数据的t-SNE降维方法 被引量:19
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作者 边荣正 张鉴 +3 位作者 周亮 蒋鹏 陈宝权 汪云海 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2021年第11期1746-1754,共9页
针对t-SNE方法不能很好地区分相互交叉的多个流形的问题,提出一种可视化降维方法.在t-SNE方法的基础上,在计算高维概率时考虑欧几里得度量和局部主成分分析以区分不同流形.然后可直接使用t-SNE的梯度求解方法得到降维结果.最后分别用3... 针对t-SNE方法不能很好地区分相互交叉的多个流形的问题,提出一种可视化降维方法.在t-SNE方法的基础上,在计算高维概率时考虑欧几里得度量和局部主成分分析以区分不同流形.然后可直接使用t-SNE的梯度求解方法得到降维结果.最后分别用3个人工生成的三维数据集和2个通用的机器学习数据集进行实验,并根据不同流形的区分度和流形内的邻域可信度2个指标对降维结果进行量化分析.结果表明,该方法在处理有交叉的多流形数据时的效果要明显优于原来的t-SNE方法,并能够较好地保持每个流形的邻域结构. 展开更多
关键词 降维方法 局部主成分分析 多流形数据 可视化
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Redesign of a conformal boundary recovery algorithm for 3D Delaunay triangulation 被引量:10
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作者 CHEN Jian-jun ZHENG Yao 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2006年第12期2031-2042,共12页
Boundary recovery is one of the main obstacles in applying the Delaunay criterion to mesh generation. A stan- dard resolution is to add Steiner points directly at the intersection positions between missing boundaries ... Boundary recovery is one of the main obstacles in applying the Delaunay criterion to mesh generation. A stan- dard resolution is to add Steiner points directly at the intersection positions between missing boundaries and triangulations. We redesign the algorithm with the aid of some new concepts, data structures and operations, which make its implementation routine. Furthermore, all possible intersection cases and their solutions are presented, some of which are seldom discussed in the litera- ture. Finally, numerical results are presented to evaluate the performance of the new algorithm. 展开更多
关键词 Boundary recovery Delaunay triangulation Mesh generation Data structure
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A Globally Convergent Polak-Ribiere-Polyak Conjugate Gradient Method with Armijo-Type Line Search 被引量:11
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作者 Gaohang Yu Lutai Guan Zengxin Wei 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2006年第4期357-366,共10页
In this paper, we propose a globally convergent Polak-Ribiere-Polyak (PRP) conjugate gradient method for nonconvex minimization of differentiable functions by employing an Armijo-type line search which is simpler and ... In this paper, we propose a globally convergent Polak-Ribiere-Polyak (PRP) conjugate gradient method for nonconvex minimization of differentiable functions by employing an Armijo-type line search which is simpler and less demanding than those defined in [4,10]. A favorite property of this method is that we can choose the initial stepsize as the one-dimensional minimizer of a quadratic modelΦ(t):= f(xk)+tgkTdk+(1/2) t2dkTQkdk, where Qk is a positive definite matrix that carries some second order information of the objective function f. So, this line search may make the stepsize tk more easily accepted. Preliminary numerical results show that this method is efficient. 展开更多
关键词 非约束最优化 共轭梯度法 整体收敛 可微函数
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RNA in human sperm 被引量:7
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作者 Rui Pires Martins Stephen A.Krawetz 《Asian Journal of Andrology》 SCIE CAS CSCD 2005年第2期115-120, ,共6页
We have yet to develop a fundamental understanding of the molecular complexities of human spermatozoa.This encompasses the unique packaging and structure of the sperm genome along with their paternally derived RNAs in... We have yet to develop a fundamental understanding of the molecular complexities of human spermatozoa.This encompasses the unique packaging and structure of the sperm genome along with their paternally derived RNAs in preparation for their delivery to the egg.The diversity of these transcripts is vast,including several anti-sense mol- ecules resembling known regulatory micro-RNAs.The field is still grasping with its delivery to the oocyte at fertiliza- tion and possible significance.It remains tempting to analogize them to maternally-derived transcripts active in early embryo patterning.Irrespective of their role in the embryo,their use as a means to assess male factor infertility is promising. 展开更多
关键词 RNA SIRNA miRNA SPERM MICROARRAY FERTILIZATION DIAGNOSTICS
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Advances in Studies and Applications of Centroidal Voronoi Tessellations 被引量:7
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作者 Qiang Du Max Gunzburger Lili Ju 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2010年第2期119-142,共24页
Centroidal Voronoi tessellations(CVTs) have become a useful tool in many applications ranging from geometric modeling,image and data analysis,and numerical partial differential equations,to problems in physics,astroph... Centroidal Voronoi tessellations(CVTs) have become a useful tool in many applications ranging from geometric modeling,image and data analysis,and numerical partial differential equations,to problems in physics,astrophysics,chemistry,and biology. In this paper,we briefly review the CVT concept and a few of its generalizations and well-known properties.We then present an overview of recent advances in both mathematical and computational studies and in practical applications of CVTs.Whenever possible,we point out some outstanding issues that still need investigating. 展开更多
关键词 Voronoi tessellations CENTROIDS CLUSTERING mesh generation and optimization IMAGEPROCESSING model reduction point sampling.
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