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基于各向异性规整化的总变分盲复原算法研究 被引量:8
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作者 洪汉玉 何成剑 +2 位作者 陈以超 易新建 张天序 《红外与激光工程》 EI CSCD 北大核心 2007年第1期118-122,共5页
针对大气湍流退化图像复原问题,提出了一种基于各向异性和非线性规整化的总变分盲复原新算法,该算法主要结合图像和湍流点扩展函数的一些性质采用基于各向异性的空间自适应规整化处理,建立了具有非线性和空间各向异性的规整化函数,使其... 针对大气湍流退化图像复原问题,提出了一种基于各向异性和非线性规整化的总变分盲复原新算法,该算法主要结合图像和湍流点扩展函数的一些性质采用基于各向异性的空间自适应规整化处理,建立了具有非线性和空间各向异性的规整化函数,使其在恢复目标图像和估计点扩展函数时能自适应地进行梯度平滑。最后,通过交替最小化方案来极小化代价函数和通过定点迭代策略将非线性方程进行线性化处理,快速地估计点扩展函数和恢复图像。在微机上对数字模拟和实际退化图像进行了一系列恢复实验,验证了算法的有效性和稳健性。 展开更多
关键词 湍流退图像 图像复原 总变分 各向异性规整
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各向异性正则化的多帧遥感图像盲复原算法 被引量:4
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作者 宋向 耿则勋 +1 位作者 王振国 李豪 《测绘科学技术学报》 北大核心 2011年第3期194-198,共5页
在大气湍流较强时,一般的遥感图像复原算法难以取得较好的复原效果。针对这种情况,提出了一种基于各向异性约束的多帧遥感图像盲复原算法。该算法不需要成像过程的先验信息,仅根据图像及点扩散函数的非负约束和支持域约束,即可得到较好... 在大气湍流较强时,一般的遥感图像复原算法难以取得较好的复原效果。针对这种情况,提出了一种基于各向异性约束的多帧遥感图像盲复原算法。该算法不需要成像过程的先验信息,仅根据图像及点扩散函数的非负约束和支持域约束,即可得到较好的复原结果;同时该算法能够自适应地调整正则化参数,在实现图像复原的同时,保持边缘并抑制噪声。试验结果验证了该算法的良好性能,复原后图像的质量得到较大提高。 展开更多
关键词 各向异性正则 大气湍流 湍流降质图像 盲复原 多帧图像复原
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一种基于各向异性总变分最小化的CT图像重建算法 被引量:1
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作者 张莹 王丹 《计算机科学与应用》 2014年第10期240-247,共8页
由于受数据采集时间、照射剂量、成像系统扫描的几何位置等因素的约束,计算机断层成像(CT)技术目前只能在有限角度范围或在较少的投影角度得到数据,这些都属于不完全角度重建问题。图像重建问题中的总变分(Total-Variation, TV)最小化... 由于受数据采集时间、照射剂量、成像系统扫描的几何位置等因素的约束,计算机断层成像(CT)技术目前只能在有限角度范围或在较少的投影角度得到数据,这些都属于不完全角度重建问题。图像重建问题中的总变分(Total-Variation, TV)最小化模型使用基于交替方向法(alternating direction method, ADM)的稀疏优化算法能够在不完全角度的图像重建中获得较优的重建结果。然而,在极稀疏的角度数量下,各向同性TV最小化算法的重建精度不是很理想,存在进一步改善空间。本文针对该问题,通过基于稀疏优化的交替方向方法推导基于各向异性TV最小化的CT图像重建算法。实验结果表明,在稀疏角度重建中,本文提出的基于各向异性TV最小化重建算法与各向同性TV最小化重建算法相比,在稀疏性保持良好的基础上,重建精度上存在优势,综合性能方面表现更优异。 展开更多
关键词 计算机断层成像 不完全角度重建 总变分最小 交替方向法 各向异性总变分最小
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基于惩罚最大似然优化模型的各向异性约束磁共振成像方法
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作者 邓梁 史仪凯 张均田 《中国图象图形学报》 CSCD 北大核心 2013年第7期852-858,共7页
传统磁共振(MR)傅里叶成像方法由于傅里叶不确定性,k空间扩展编码采样长度能提高图像空间分辨率,但是以降低图像信噪比为代价。提出基于最大似然优化模型的各向异性约束MR成像新方法,将离散傅里叶变换模型改进为惩罚约束函数的最优值搜... 传统磁共振(MR)傅里叶成像方法由于傅里叶不确定性,k空间扩展编码采样长度能提高图像空间分辨率,但是以降低图像信噪比为代价。提出基于最大似然优化模型的各向异性约束MR成像新方法,将离散傅里叶变换模型改进为惩罚约束函数的最优值搜索问题。利用医学结构的先验信息,将正则化惩罚运算细化至平滑区域、边界邻域、边界和边界的方向。实验结果表明,该方法不但能扩展k空间高频数据采样长度同时有效降低高斯噪声,而且能克服现有相关约束成像方法的二次模糊和Gibbs环状伪影。 展开更多
关键词 各向异性正则 约束图像重建 惩罚最大似然优 医学先验信息
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钕铁硼永磁的将来 被引量:9
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作者 肖耀福 裘宝琴 +1 位作者 孙爱芝 刘旭波 《磁性材料及器件》 CAS CSCD 2002年第1期21-24,共4页
在回顾钕铁硼发展的基础上,讨论和展望了钕铁硼几个可能的发展领域。这包括氢处理(HDDR)各向异性粘结钕铁硼、烧结钕铁硼的近净尺寸成型、带(片)铸工艺、潜在的新型高工作温度钕铁硼和可能的各向异性纳米复合烧结钕铁硼磁体。
关键词 钕铁硼永磁 HDDR 近净尺寸成型 带(片)铸工艺 各向异性化 纳米复合磁体 烧结磁体
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变系数位势问题的Trefftz有限元法 被引量:2
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作者 王克用 李培超 《上海工程技术大学学报》 CAS 2014年第1期58-62,67,共6页
根据杂交泛函,将变系数位势问题在单元水平上转化为正交各向异性位势问题,近似认为材料性质在每个单元内保持不变,从而提出了基于完备解的Trefftz有限元模型.数值算例表明,所得结果与解析解相当吻合.
关键词 变系数位势问题 Trefftz有限元法 正交各向异性化 杂交泛函
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基于改进光流场模型的大脑图像配准 被引量:6
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作者 白小晶 陈允杰 +2 位作者 孙怀江 王平安 夏德深 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2008年第3期349-355,共7页
将光流场模型引入大脑图像配准,针对Horn模型会造成图像严重模糊的问题,在微分光流场模型的一般框架下,构造具有边缘保持和一致性增强能力的流驱动各向异性扩散方程作为正则项,以增强配准过程的特征保持能力;采用非二次惩罚函数作为数据... 将光流场模型引入大脑图像配准,针对Horn模型会造成图像严重模糊的问题,在微分光流场模型的一般框架下,构造具有边缘保持和一致性增强能力的流驱动各向异性扩散方程作为正则项,以增强配准过程的特征保持能力;采用非二次惩罚函数作为数据项,以增强模型的鲁棒性.最后利用文中模型对大脑图像进行配准实验,得到了较为准确的结果. 展开更多
关键词 大脑图像配准 流驱动各向异性正则 非二次惩罚函数 边缘保持 一致性增强
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Microscopic phase-field study on directional coarsening mechanism caused by interaction between precipitates in Ni-Al-V alloy 被引量:4
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作者 杨坤 陈铮 +1 位作者 王永欣 范晓丽 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第1期193-200,共8页
A microscopic phase-field model was used to investigate a directional coarsening mechanism caused by the anisotropic growth of long period stacking and different effects of phases on precipitation in Ni-Al-V alloy.The... A microscopic phase-field model was used to investigate a directional coarsening mechanism caused by the anisotropic growth of long period stacking and different effects of phases on precipitation in Ni-Al-V alloy.The results show that DO22 mainly coarsens along its short axis,which may press the neighboring L12,leading to the interaction among atoms.Diffusion channels of Al are formed in the direction where the mismatch between γ' and γ reduces;the occupation probabilities are anisotropic in space;and direction coarsening of L12 occurs finally.With a rise of ageing temperature,phases appear later and DO22 is much later at a higher temperature,the average occupation probabilities of Al and V reduce,and Al changes more than V. 展开更多
关键词 nickel-based alloys microscopic phase-field simulation directional coarsening anisotropic growth MISMATCH diffusion
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Micro-failure process and failure mechanism of brittle rock under uniaxial compression using continuous real-time wave velocity measurement 被引量:3
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作者 WU Zhi-jun WANG Zhi-yang +2 位作者 FAN Li-feng WENG Lei LIU Quan-sheng 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第2期556-571,共16页
In this study,the micro-failure process and failure mechanism of a typical brittle rock under uniaxial compression are investigated via continuous real-time measurement of wave velocities.The experimental results indi... In this study,the micro-failure process and failure mechanism of a typical brittle rock under uniaxial compression are investigated via continuous real-time measurement of wave velocities.The experimental results indicate that the evolutions of wave velocities became progressively anisotropic under uniaxial loading due to the direction-dependent development of micro-damage.A wave velocity model considering the inner anisotropic crack evolution is proposed to accurately describe the variations of wave velocities during uniaxial compression testing.Based on which,the effective elastic parameters are inferred by a transverse isotropic constitutive model,and the evolutions of the crack density are inversed using a self-consistent damage model.It is found that the propagation of axial cracks dominates the failure process of brittle rock under uniaxial loading and oblique shear cracks develop with the appearance of macrocrack. 展开更多
关键词 elastic wave velocity brittle rock failure uniaxial compression test continuous real-time measurement anisotropic damage evolution theory and modelling
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Softening response under undrained compression following anisotropic consolidation 被引量:2
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作者 余闯 许强 尹振宇 《Journal of Central South University》 SCIE EI CAS 2013年第6期1703-1712,共10页
Experimental evidence has indicated that clay exhibits strain-softening response under undrained compression following anisotropic consolidation.The purpose of this work was to propose a modeling method under critical... Experimental evidence has indicated that clay exhibits strain-softening response under undrained compression following anisotropic consolidation.The purpose of this work was to propose a modeling method under critical state theory of soil mechanics.Based on experimental data on different types of clay,a simple double-surface model was developed considering explicitly the location of critical state by incorporating the density state into constitutive equations.The model was then used to simulate undrained triaxial compression tests performed on isotropically and anisotropically consolidated samples with different stress ratios.The predictions were compared with experimental results.All simulations demonstrate that the proposed approach is capable of describing the drained and undrained compression behaviors following isotropic and anisotropic consolidations. 展开更多
关键词 STRAIN-SOFTENING CLAY constitutive relation PLASTICITY critical state CONSOLIDATION
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A Velocity Map Ion-imaging Study on Ketene Photodissociation at 218 nm 被引量:1
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作者 Jie Liu Feng-yan Wang +2 位作者 Hua Wang Bo Jiang Xue-ming Yang 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 北大核心 2006年第1期1-5,共5页
Photodissociation dynamics of ketene at 218 nm has been investigated using the velocity map ion-imaging method. Both angular and translational energy distributions for the CO products at different rotational and vibra... Photodissociation dynamics of ketene at 218 nm has been investigated using the velocity map ion-imaging method. Both angular and translational energy distributions for the CO products at different rotational and vibrational states have been obtained. The 2+1 REMPI spectrum of CO products is also obtained. The results are as bellow: (i) CO products in the first two vibrational states ( v"=0 and v"=1 ) exhibit significant rotational excitation. Furthermore the rotational excitation of CO at the v"=0 level is noticeably higher than that at the v"=1 level. (ii) It was found that the major photodissociation pathway of ketene at 218 nm is the CH2(ǎ^1A1)+CO(X^1∑^+) channel, while the CH2(b^1B1)+CO(X^1∑^+) channel and the CH2(X^3B1)+CO(X^1E^+) channel are also likely present, (iii) The anisotropy parameters β of CO different rovibronic states all appear to be larger than zero. No significant difference is observed at the two vibrational states, 展开更多
关键词 Velocity map ion-imaging PHOTODISSOCIATION Anisotropy parameter Translational energy distribution
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Equivalent strain hardening exponent of anisotropic materials based on spherical indentation response 被引量:1
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作者 Yu HUI Jian-jun WU +2 位作者 Ming-zhi WANG Xue-peng ZHAN He FAN 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2019年第1期77-87,共11页
Uniaxial strain hardening exponent is not suitable for describing the strain hardening behaviors of the anisotropic materials, especially when material deforms in the multi-axial stress states. In this work, a novel m... Uniaxial strain hardening exponent is not suitable for describing the strain hardening behaviors of the anisotropic materials, especially when material deforms in the multi-axial stress states. In this work, a novel method was proposed to estimate the equivalent strain hardening exponent of anisotropic materials based on an equivalent energy method. By performing extensive finite element (FE) simulations of the spherical indentation on anisotropic materials, dimensionless function was proposed to correlate the strain hardening exponent of anisotropic materials with the indentation imprint parameters. And then, a mathematic expression on the strain hardening exponent of anisotropic materials with the indentation imprint was established to estimate the equivalent strain hardening exponent of anisotropic materials by directly solving this dimensionless function. Additionally, Meyer equation was modified to determine the yield stress of anisotropic materials. The effectiveness and reliability of the new method were verified by the numerical examples and by its application on the TC1M engineering material. 展开更多
关键词 equivalent strain hardening exponent anisotropic material spherical indentation residual imprint
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Anisotropic gold nanoparticles: Preparation and applications in catalysis 被引量:6
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作者 Peter Priecel Hammed Adekunle Salami +2 位作者 Romen Herrera Padilla Ziyi Zhong Jose Antonio Lopez-Sanchez 《Chinese Journal of Catalysis》 SCIE EI CAS CSCD 北大核心 2016年第10期1619-1650,共32页
Despite the high amount of scientific work dedicated to the gold nanoparticles in catalysis, most of the research has been performed utilising supported nanoparticles obtained by traditional impreg‐nation of gold sal... Despite the high amount of scientific work dedicated to the gold nanoparticles in catalysis, most of the research has been performed utilising supported nanoparticles obtained by traditional impreg‐nation of gold salts onto a support, co‐precipitation or deposition‐precipitation methods which do not benefit from the recent advances in nanotechnologies. Only more recently, gold catalyst scien‐tists have been exploiting the potential of preforming the metal nanoparticles in a colloidal suspen‐sion before immobilisation with great results in terms of catalytic activity and the morphology con‐trol of mono‐and bimetallic catalysts. On the other hand, the last decade has seen the emergence of more advanced control in gold metal nanoparticle synthesis, resulting in a variety of anisotropic gold nanoparticles with easily accessible new morphologies that offer control over the coordination of surface atoms and the optical properties of the nanoparticles (tunable plasmon band) with im‐mense relevance for catalysis. Such morphologies include nanorods, nanostars, nanoflowers, den‐dritic nanostructures or polyhedral nanoparticles to mention a few. In addition to highlighting newly developed methods and properties of anisotropic gold nanoparticles, in this review we ex‐amine the emerging literature that clearly indicates the often superior catalytic performance and amazing potential of these nanoparticles to transform the field of heterogeneous catalysis by gold by offering potentially higher catalytic performance, control over exposed active sites, robustness and tunability for thermal‐, electro‐and photocatalysis. 展开更多
关键词 Anisotropic metal nanoparticles Gold nanoparticles Gold catalysis PHOTOCATALYSIS ELECTROCATALYSIS Catalytic oxidation Colloidal gold nanoparticles Gold nanorod Gold nanostars Sol immobilisation
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Tuning Exchange Anisotropy of Exchange-Biased System
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作者 XU Yan HU Jing-Guo R.L. Stamps 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第7期253-256,共4页
Exchange anisotropy in FM/AFM bilayers has given a lot of static magnetization properties such as enhanced coercivity and magnetization loop shifts. These phenomena are primarily from the effective anisotropies introd... Exchange anisotropy in FM/AFM bilayers has given a lot of static magnetization properties such as enhanced coercivity and magnetization loop shifts. These phenomena are primarily from the effective anisotropies introduced into a ferromagnet by exchange coupling with a strongly anisotropic antiferromagnet. These effective anisotropies can also be used to explain the dynamic consequences of exchange-biased bilayers. In this article, the dynamic consequences such as exchange-induced susceptibility, exchange-induced permeability, and the corresponding domain wall characteristics in the exchange-biased structures of ferromagnet/antiferromagnetl/antiferromagnet2 are studied. The results show that the second antiferromagnetic layer can largely affect the dynamic consequences of exchange-blazed bilayers. Especially in the case of critical temperature, the effects become more obvious. Practically, the exchange anisotropy of biased bilayer system can be tuned by exchange coupling with the second antiferromagnetic layer. 展开更多
关键词 Idomain effects SUSCEPTIBILITY PERMEABILITY FM/AFM1/AFM2 trilayers
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Formability of the AMS 5596 Sheet in Comparison with EDDQ Steel Sheet
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《Journal of Mechanics Engineering and Automation》 2014年第1期72-77,共6页
Some materials form better than others, moreover, a material that has the best formability for one stamping may behave very poorly in a stamping of another Configuration. The forming limit of a metal sheet is generall... Some materials form better than others, moreover, a material that has the best formability for one stamping may behave very poorly in a stamping of another Configuration. The forming limit of a metal sheet is generally given in terms of the limiting principal strains under different loading conditions and represented by the so-called FLD (forming limit diagram). In view of the difficulty to experimentally determine the forming limits, many researchers have sought to predict FLD. The formability of sheet metal has frequently been expressed by the value of strain hardening exponent and plastic anisotropy ratio. The stress-strain and hardening behaviour of a material is very important in determining its resistance to plastic instability. For these reasons, extensive test programs are often carried out in an attempt to correlate material formability with value of some mechanical properties. In this study, mechanical properties and the FLD of the AMS 5596 sheet metal was determined by using uniaxial tensile test and Marciniak's flat bottomed punch test respectively. 展开更多
关键词 Sheet metal FORMABILITY limit strain strain hardening plastic anisotropy.
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Anisotropic fourth-order diffusion regularization for multiframe super-resolution reconstruction
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作者 黄淑英 杨勇 王国宇 《Journal of Central South University》 SCIE EI CAS 2013年第11期3180-3186,共7页
A novel rcgularization-based approach is presented for super-resolution reconstruction in order to achieve good tradeoff between noise removal and edge preservation. The method is developed by using L1 norm as data fi... A novel rcgularization-based approach is presented for super-resolution reconstruction in order to achieve good tradeoff between noise removal and edge preservation. The method is developed by using L1 norm as data fidelity term and anisotropic fourth-order diffusion model as a regularization item to constrain the smoothness of the reconstructed images. To evaluate and prove the performance of the proposed method, series of experiments and comparisons with some existing methods including bi-cubic interpolation method and bilateral total variation method are carried out. Numerical results on synthetic data show that the PSNR improvement of the proposed method is approximately 1.0906 dB on average compared to bilateral total variation method, and the results on real videos indicate that the proposed algorithm is also effective in terms of removing visual artifacts and preserving edges in restored images. 展开更多
关键词 SUPER-RESOLUTION anisotropic fourth-order diffusion bilateral total variation REGULARIZATION
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A Novel Silicon Etching Method Using Vapor of Tetramethylammonium Hydroxide Solution
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作者 Jian He Yue-fang Zhao +3 位作者 Fang-liang Xu Dong-yang Zhao Xiao-juan Hou Xiu-jian Chou 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2020年第6期769-774,I0003,共7页
Silicon bulk etching is an important part of micro-electro-mechanical system(MEMS) technology. In this work, a novel etching method is proposed based on the vapor from tetramethylammonium hydroxide(TMAH) solution heat... Silicon bulk etching is an important part of micro-electro-mechanical system(MEMS) technology. In this work, a novel etching method is proposed based on the vapor from tetramethylammonium hydroxide(TMAH) solution heated up to boiling point. The monocrystalline silicon wafer is positioned over the solution surface and can be anisotropically etched by the produced vapor. This etching method does not rely on the expensive vacuum equipment used in dry etching. Meanwhile, it presents several advantages like low roughness, high etching rate and high uniformity compared with the conventional wet etching methods. The etching rate and roughness can reach 2.13 μm/min and 1.02 nm, respectively. Furthermore,the diaphragm structure and Al-based pattern on the non-etched side of wafer can maintain intact without any damage during the back-cavity fabrication. Finally, an etching mechanism has been proposed to illustrate the observed experimental phenomenon. It is suggested that there is a water thin film on the etched surface during the solution evaporation. It is in this water layer that the ionization and etching reaction of TMAH proceed, facilitating the desorption of hydrogen bubble and the enhancement of molecular exchange rate. This new etching method is of great significance in the low-cost and high-quality micro-electromechanical system industrial fabrication. 展开更多
关键词 Silicon bulk etching Micro-electro-mechanical system Tetramethylammo-nium hydroxide solution Anisotropic etching
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Nonconforming Finite Element Approximation on Anisotropic Meshes with Numerical Quadrature
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作者 YANG Qiao SHI Dong-yang 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第4期557-560,共4页
In this paper we mainly discuss the nonconforming fimte element method for second order elliptic boundary value problems on anisotropic meshes. By changing thediscretization form(i.e., by use of numerical quadrature ... In this paper we mainly discuss the nonconforming fimte element method for second order elliptic boundary value problems on anisotropic meshes. By changing thediscretization form(i.e., by use of numerical quadrature in the procedure of computing the left load), we obtain the optimal estimate O(h), which is as same as in the traditionalfinite element analysis when the load f ∈ H1 (Ω)η Co(Ω) which is weaker than the previousstudies. The results obtained in this paper are also valid to the conforming triangular elementand nonconforming Carey's element. 展开更多
关键词 Crouzeix-Raviart type nonconforming finite elememt anisotropic meshes error estimate
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Electron-Irradiation Induced Nanocrystallization of Pb(ll) in Silica Gels Prepared in High Magnetic Field
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作者 Takamasa Kaito Atsushi Mori Chihiro Kaito 《Journal of Chemistry and Chemical Engineering》 2015年第1期61-66,共6页
In a previous study, structure of silica gels prepared in a high magnetic field was investigated. While a direct application of such anisotropic silica gels is for an optical anisotropic medium possessing chemical res... In a previous study, structure of silica gels prepared in a high magnetic field was investigated. While a direct application of such anisotropic silica gels is for an optical anisotropic medium possessing chemical resistance, we show here their possibility of medium in materials processing. In this direction, for example, silica hydrogels have so far been used as media of crystal growth. In this paper, as opposed to the soft-wet state, dried silica gels have been investigated. We have found that lead (II) nanocrystallites were formed induced by electron irradiation to lead (ll)-doped dried Hydrogels made from a sodium metasilicate solution doped with silica gels prepared in a high magnetic field such as B = 10 T. lead (II) acetate were prepared. The dried specimens were irradiated by electrons in a transmission electron microscope environment. Electron diffraction patterns indicated the crystallinity of lead (II) nanocrystallites depending on B. An advantage of this processing technique is that the crystallinity can be controlled through the strength of magnetic field B applied during gel preparation. Specific skills are not required to control the strength of magnetic field. 展开更多
关键词 Silica gel magnetic field NANOCRYSTALLITE electron irradiation.
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Results on entire solutions for a degenerate critical elliptic equation with anisotropic coefficients 被引量:3
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作者 CHEN ShaoWei LIN LiShan 《Science China Mathematics》 SCIE 2011年第2期221-242,共22页
In this paper, we study the following degenerate critical elliptic equation with anisotropic coefficients-div(|x N | 2α▽u) = K(x)|x N | α·2 * (s)-s |u| 2 * (s)-2 u in R N ,where x = (x 1 , . . . , x N ) ∈ R N... In this paper, we study the following degenerate critical elliptic equation with anisotropic coefficients-div(|x N | 2α▽u) = K(x)|x N | α·2 * (s)-s |u| 2 * (s)-2 u in R N ,where x = (x 1 , . . . , x N ) ∈ R N , N≥3, α > 1/2, 0≤ s ≤2 and 2 * (s) = 2(N-s)/(N-2). Some basic properties of the degenerate elliptic operator -div(|x N |2α▽u) are investigated and some regularity, symmetry and uniqueness results for entire solutions of this equation are obtained. We also get some variational identities for solutions of this equation. As consequences, we obtain some nonexistence results for this equation. 展开更多
关键词 weighted Sobolev inequalities Harnack inequality moving sphere method variational identities
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