Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements

For a general class of finite element spaces based on local polynomial spaces E with Pp⊂E⊂Qp we construct a vertex-edge-cell and point-value oriented interpolation operators that fulfil anisotropic interpolation error estimates.Using these estimates we prove ε-uniform convergence of order p for the Galerkin FEM and the LPSFEM for a singularly perturbed convection-diffusion problem with characteristic boundary layers.     

Uncertainty functions, a compact way of summarising or specifying the behaviour of analytical systems

Analytical chemists can advantageously use an uncertainty function to describe the performance of an analytical system in terms of the standard uncertainty or standard deviation as a function of the concentration of the analyte. This “characteristic function” is useful for estimating uncertainty at a new concentration. A similar function can be used to prescribe the uncertainty that is regarded as fit for purpose for a particular application. This “fitness function” is useful in setting standards of accuracy in proficiency tests and similar exercises without revealing the concentration of the analyte. In combination, these two functions provide a rational basis for method selection.     

Geometry of quasilinear hyperbolic systems with characteristic fields of constant multiplicity

In this paper, we study the regularity of the eigenvalues and eigenvectors and the existence of normalized coordinates for quasilinear hyperbolic systems with characteristic fields of constant multiplicity. We prove that the eigenvalues and eigenvectors of the system have the same regularity as the coefficients of the system. On the other hand, we show that, for the quasilinear hyperbolic system of conservation laws with characteristic fields of constant multiplicity, the normalized coordinates exist on the domain under consideration.     

工程场地的特征与工程地质分区

工程场地与城市在空间尺度上相去甚远 ,但工程场地所具备的与环境行为相近的共性 ,使其属性分析可以推广应用到城市建设所面对的整个工程地质环境。从这一意义上说 ,工程场地是整个城市宏观工程地质环境的微观单元 ,众多微观单元的组合构成了环境的宏观总体。为此 ,工程场地的三大属性———特性、适宜性、稳定性 ,可以作为城市工程地质环境分析中分析方法的基础。从工程场地分析推广到城市工程地质环境分析 ,还将有助于保证城市工程地质环境分析的定量化水平。     

Hilbert空间中最终范数连续半群的特征条件

本文给出了Hilbert空间中当t>t0(t0≥0)时,按一致算子拓扑连续C0半 群T(t)的四个特征条件.     

光谱相关色谱及其在中药色谱指纹图谱分析中的应用

基于相同的化学物质具有相同的光谱，在大多数情况下，同一样本的化学成分在同种类型的色谱柱上虽然保留时间不可能完全相同，但是洗脱的顺序应基本一致，提出光谱相关色谱的新概念。利用联用色谱的光谱信息与色谱信息，判断复杂中药色谱指纹图谱中的组分相关性和表征不同实验条件下所得的中药色谱指纹图谱，从而实现仪器的系统误差的化学计量学校准。     

激光脉冲能量对激光烧蚀保护气体电离的影响

用Ar气作保护气体 ,气压保持在一个标准大气压 ,用Nd :YAG脉冲激光烧蚀Al靶获得等离子体。利用时空分辨技术 ,采集了激光脉冲能量在 5 2 ,92 ,115和 14 5mJ情况下等离子体辐射的时空分辨谱。详细描述了 115mJ时等离子体的辐射特征 ,简要分析了其他脉冲能量下Ar的特征辐射规律。根据这些脉冲能量下Ar 特征谱线的分布规律 ,简要论述了Ar气体电离与激光脉冲能量的关系。讨论了环境气体电离机制 ,并对结果进行了简单解释。结果发现 ,在本实验采用的能量范围内 ,较高的脉冲能量更容易使环境气体电离 ,产生较强的Ar 离子辐射 ,且Ar 辐射持续时间较长。     

Characteristic Elements of Unimodular -lattices

Characteristic elements have been useful in the classification of unimodular lattices over the integers. This article gives an explicit formula for characteristic elements of a lattice in terms of a basis for the lattice and the dual of that basis.     

An economic¯X-chart approach to the joint control of the means of independent quality characteristics

Summary In controlling the mean of a multivariate normally distributed quality characteristic the main disadvantage of the globalT ²-control charts is that they don't indicate the component of the quality characteristic which gives rise to an alarm. To avoid this disadvantage the joint use of¯x-charts is proposed in this paper, where — for the sake of simplicity — the investigations are restricted to the case of independent components and to one-sided¯x-charts. On the basis of an economic objective function an approximation to the optimal design of the¯x-charts procedure is derived and discussed. It turns out that at least in the bivariate case the nearly optimal economic design is very close to the exact solution.Supported by the Deutsche Forschungsgemeinschaft (DFG).     

不动点集为RP（1）×CP（N）的带有对合的流形

令 (M,T)是一个在光滑闭流形上的光滑对合 ,它的不动点集为 F ,本文确定了 F=RP(1 )× CP(N )的对合的协边分类