各向异性网格下特征值问题的有限元分析

主要目的是在各向异性网格下研究二阶椭圆特征值问题的两类非协调有限元—类Wilson矩形元和Carey三角形元—的收敛性分析.通过新的技巧和方法,得到了与传统有限元网格剖分下相同的特征对的最优误差估计.推广了已有的结果.     

电动势法在电解质溶液的热力学研究中的应用

本文对１９８０年以来电动势法的改进和发展作一简要综述，并从单一电解质，混合电解质，电解质与非电解质的相互作用以及平衡常数等四个方面评述了电动势法在电解质溶液的热力学研究中的应用。     

一类六参数非协调任意凸四边形单元

本文构造了一类六参数非协调四边形单元,证明由此产生的有限元对任意四边形网格通过Irons分片检查,其收敛效果同Wilson元相当且形状函数的选择不依赖于单元本身。类Wilson元及改进的Wilson任意四边形单元是其中的特例。     

探索:奏响数学美的乐章

这是一道在许多数学书刊可以轻易查到的习题:设a,b,c为两两不相等的有理数,求证:     

Simulation of Helium Behaviour in Titanium Crystals Using Molecular Dynamics

The behaviour of helium in Ti crystals at 300 K has been investigated by means of the molecular dynamics. The study is focused on the influences of He-Ti interaction on the aggregation of helium atoms in the substrate. When a Born-Mayer potential is used to describe the He-Ti interaction, the He atoms are unable to cluster with each other due to the weak bridge barrier that cannot trap the helium atoms, Whereas using a He-Ti potential that is constructed by fitting the ab initio pairwise He-Ti potential, the clustering of He atoms can be observed. The results indicate that suitable He-Ti potential plays an important role in the formation of He clusters in metals. Moreover, it is noted that the shape of the formed He cluster is irregular, and the produced defect prefers to congregating on one side of the He cluster rather than spreading symmetrically around it.     

线性常微分方程(组)的算子方法介绍及其研究展望

综述了线性微分方程(组)的算子方法,侧重地介绍了作者所发展的一系列方法和重要的结果与解公式.提出了算子方法研究的几点展望.     

Hexagonal Standing-Wave Patterns in Periodically Forced Reaction-Diffusion Systems

The periodically forced spatially extended Brusselator is investigated in the oscillating regime. The temporal response and pattern formation within the 2：1 frequency-locking band where the system oscillates at one half of the forcing frequency are examined. An hexagonal standing-wave pattern and other resonant patterns are observed. The detailed phase diagram of resonance structure in the forcing frequency and forcing amplitude parameter space is calculated. The transitions between the resonant standing-wave patterns are of hysteresis when control parameters are varied, and the presence of multiplicity is demonstrated. Analysis in the framework of amplitude equation reveals that the spatial patterns of the standing waves come out as a result of Turing bifurcation in the amplitude equation.     

12参双参数矩形板元的误差估计

双参数方法是构造高阶问题有限元的有效方法．以此方法构造的双参数元是一种非标准元，以往文献中只证明了它的收敛性．此文针对具体12参双参数矩形板元给出它的误差估计式，并分析了节点参数的扰动量．文中的分析方法也适合于其它双参数矩形板元的误差估计．     

ZnS:Tb薄膜电致发光的量子效率及过热电子分布

采用高频溅射的方法制备了高亮度的ZnS:Tb薄膜电致发光器件.测量了发射强度比I(5D3-7F6)/I(5D4-7F4)随激发电压的变化关系、弛豫时间及发光的量子效率,计算了碰撞截面,分析ZnS:Tb的过热电子的分布,并与ZnS:Mn进行了比较.指出了ZnS:Tb效率与ZnS:Mn效率差异的可能原因.     

利用电子俘获材料实现光学IPA神经网络模型

报道用自行研制的ＣａＳ（Ｅｕ，Ｓｍ）电子俘获材料表示互联机重矩阵以实现光学ＩＰＡ神经网络模型，由于ＣａＳ（Ｅｕ，Ｓｍ）的红外激励发光强度与俘获的电子密度及红外读出光强度之积成线性关系，故可用来表示互联权重矩阵以实现光学神经网络，这种互联权重矩阵具有很宽的数值范围，并可以用光学的办法进行快速擦除，重写。