A hybrid domain decomposition method based on aggregation

A new two‐level black‐box preconditioner based on the hybrid domain decomposition technique is proposed and studied. The preconditioner is a combination of an additive Schwarz preconditioner and a special smoother. The smoother removes dependence of the condition number on the number of subdomains and variations of the diffusion coefficient and leaves minor sensitivity to the problem size. The algorithm is parallel and pure algebraic which makes it a convenient framework for the construction parallel black‐box preconditioners on unstructured meshes. Copyright © 2004 John Wiley & Sons, Ltd.     

一类拟凸域的不变Khler度量与曲率

本文对Ｃｍ＋ｎ中的一类有界拟凸域给出了不变Ｋｈｌｅｒ度量及其曲率以及不变调和函数的显表达式     

A domain decomposition method on nested domains and nonmatching grids

A one directionally coupled problem on two nested domains is analyzed. The global domain and the subdomain are discretized by two triangulations that do not match on the subdomain. The connection between the two grids is established by using a stable projection operator onto the interface. An a priori error analysis is carried out and several numerical examples are given. The method is ideally suited for the case of a moving subdomain. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 374–387, 2004.     

椭圆芯手征光纤的基模特性研究

对椭圆芯手征光纤进行了严格的求解，得到了模式场的解析解；推了了模式特征方程；并对基模的偶模和奇模特征方程进行数值求解，研究了手征参数对不同椭圆比下基模的色散曲线，双折射，模间色散等特性的影响。     

Diffusion theory of slow responses

When an action is applied to a macroscopic substance, there is a particular sort of slow response besides the well-known fast response. Using diffusion theory, the characteristics of slow response in dielectric, elastic, piezoelectric, and pyroelectric relaxation may be explained. A time domain spectroscopy method suitable for slow and fast responses in linear and nonlinear effects is given. Every relaxation mechanism contributes a peak in differential spectroscopy, and its position, height, and line shape show the dynamical properties of the mechanism. The method of frequency domain spectroscopy is suitable only for linear fast response. Time domain spectroscopy is another nonequivalent powerful method. The theory is confirmed by a lot of experimental data. Project supported by the National Natural Science Foundation of China and the Science Foundation of Zhongshan University.     

求解界面方程的Chebyshev加速算法

非重叠区域分解算法在于建立和求解相关的界面方程．建立界面方程在理论上虽。然容易推导，例如某些问题可用Gauss块消去法，但在实际计算时并不可行，所以界面方程在一些算法中是陷式的．而求解界面方程一般要进行预处理，本提出一种区域分解算法，可得出界面方程的显式表达．算法是完全并行的，所得出的界面方程的系数矩阵的条件数已与网参数无关，事实上就是(Sh^（1）)^-1Sh，进而可直接用收敛速度较快的Chebyshev加速算法求解该界面方程，在充分应用并行计算方法的条件下，本算法与[4]中的算法相比计算效率提高．     

Terahertz Transmission Spectroscopy of Nonpolar Materials and Relationship with Composition and Properties

Terahertz time-domain spectroscopy is used to study properties of non-polar materials. Terahertz absorption spectra and refractive indices are measured in a number of glasses, lubricating oils, and types of paper. The results are correlated with material properties.     

芳香族氨基酸的太赫兹光谱研究

利用太赫兹时域光谱研究了三种芳香族氨基酸，即酪氨酸、色氨酸和苯丙氨酸，在02—1 6THz波段的光学特性，得到了对应的吸收谱.对比各自的吸收谱发现，酪氨酸和色氨酸分 别在0976THz和1465THz有明显的吸收峰，而苯丙氨酸则没有明显的吸收峰.利用密度泛 函(DFT)理论初步计算表明，氨基酸在THz波段的吸收是由分子转动或扭动造成的，氨基酸的 不同结构造成了它们在THz波段不同的吸收峰位.另外，还得到了三种氨基酸在该波段的折射 率谱并首次定量给出了三种氨基酸在02—16THz波段的平均折射率.酪氨酸、色氨酸和苯 丙氨酸的平均折射率分别为1507，1526和1686.这项研究不仅为研究生物分子结构和 动力学提供了新的理论和实验方法，而且对进一步利用THz时域光谱研究其他生物大分子具 有借鉴意义. 关键词： 太赫兹(THz)时域光谱 芳香族氨基酸 吸收谱 分子动力学     

关于离散形式结点域定理证明的几点注记

本文指出了文[1]的主要定理(定理4与定理6)证明中的错误,并对其进行了修正,给出了正确的证明.     

一维自旋-轨道模型中的畴状轨道液体态

研究了一个一维可解自旋-轨道模型.在大自旋极限下，自旋自由度可以近似用经典自旋来描 述.在没有外磁场情形，系统的基态是伊辛自旋反铁磁背景下的轨道液体态.其低能元激发是 类似于spinon的轨道量子.而在有外磁场情形，系统会出现磁通点阵相.同时，磁通将系统分 割成不连通的轨道液体. 关键词： 自旋轨道系统 畴状轨道液体