抛物问题的拉格朗日乘子区域分解法

１．引言 近年来,一类新的非重叠区域分解方法一非匹配网格区域分解法,日益引起人们的广泛兴趣,并已成为当今区域分解方法研究的热门课题。这类区域分解方法的特点是：相邻子区域在公共边（或面）上的结点可以不重合,从而能解决许多传统区域分解方法不便解决的问题（如变动网格问题）．目前主要有两类方法来处理这种区域分解的强非协调性：Ｍｏｒｔａｒ无法（见［１－２］和［９－１０］）和拉格朗日乘子法（见［５］,［８］,［１１］和［１２］）．拉格朗日乘子法比Ｍｏｒｔａｒ无法有明显的优点：（１）界面变量（即拉格朗日乘子）…     

A design of novel type superconducting magnet for super—high field functional magnetic resonance imaging by using the harmonic analysis method of magnetic vector potentials

The approach of expanding the magnetic scalar potential in a series of Legendre polynomials is suitable for designing a conventional superconducting magnetic resonance imaging magnet of distributed solenoidal configuration. Whereas the approach of expanding the magnetic vector potential in associated Legendre harmonics is suitable for designing a single-solenoid magnet that has multiple tiers, in which each tier may have multiple layers with different winding lengths. A set of three equations to suppress some of the lowest higher-order harmonics is found. As an example, a 4T single-solenoid magnetic resonance imaging magnet with 4×6 layers of superconducting wires is designed. The degree of homogeneity in the 0.5m diameter sphere volume is better than 5.8 ppm. The same degree of homogeneity is retained after optimal integralization of turns in each correction layer. The ratio B_m/B₀ in the single-solenoid magnet is 30% lower than that in the conventional six-solenoid magnet. This tolerates higher rated superconducting current in the coil. The Lorentz force of the coil in the single-solenoid system is also much lower than in the six-solenoid system. This novel type of magnet possesses significant advantage over conventional magnets, especially when used as a super-high field functional magnetic resonance imaging magnet.     

全光亮镀铁工艺的研究

介绍了一种新型的电镀光亮镀的工艺,使用了“抑氢剂”,并用小槽电镀,Hull Cell实验研究了镀液的性能,还运用线性电位扫描法,旋转圆盘电极法测试了镀液的阴极极化性能和整平性能,采用SEM法观察镀层的形貌,实验结果表明：光亮剂的加入可增大铁沉积时的阴极极化,并伴有整作用,而抑氢剂可增大氢在铁上析出的过电位,从而可提高铁沉积的电流效率并降低镀层的应力。     

三氯化铕四吡啶的晶体结构

稀土有机化合物的研究是当前十分活跃的一个领域。我们首先用X射线单晶衍射的方法,测定了EuCl~3.4Py的晶体结构,揭示了这类配合物的结构特征。     

合成气低温液相催化制甲醇和甲酸甲酯铜基催化剂体系研究 Ⅰ.氯化亚铜催化剂体系中各种因素的影响

合成气低温液相催化制甲醇和甲酸甲酯铜基催化剂体系研究 Ⅰ.氯化亚铜催化剂体系中各种因素的影响     

The construction of large element in finite element method

In the usual finite element method, the order of the interpolation in an element is kept unchanged, and the accuracy is raised by subdividing the grid denser and denser. Alternatively, in the large element method, the grid is kept unchanged, and the terms of approximate series in the element are increased to raise the accuracy.In this paper, a method for constructing large elements is presented. When using this method, two sets of variables, one set defined inside the element, and the other defined on the boundary of the element, are adopted. Then, these two sets of variables are combined by the hybrid-penalty function method. This method can be applied to any elliptic equations in a domain with arbitrary shape and arbitrary complex boundary condition. It is proved with strict mathematical method in this paper, that in general cases, the accuracy of this method is much higher than that of the usual element and the large element method presented in [7]. Therefore, the degrees of freedom needed in this method are much fewer than those in the two methods if the same accuracy is preserved.     

辉光放电质谱仪的校准

建立了辉光放电质谱仪的校准方法。校准项目包括检测器噪声、分辨率、灵敏度、检出限、示值误差及重复性。经多家实验室的共同试验比对,提出并验证了计量性能指标,对示值误差进行了不确定度评定。其中,检测器噪声不大于1 c/s。在中分辨率模式下,分辨率不小于3500,灵敏度不小于1×10^(9) c/s。在高分辨率模式下,分辨率不小于8000,灵敏度不小于1×10^(8) c/s。检出限不大于7×10^(–7)%。示值误差不大于±20%。重复性不大于10%。该方法为辉光放电质谱仪的计量性能评价提供参考,推动相关计量技术规范的制定。     

过渡区内纳米颗粒的曳力特性模拟研究

在过渡区内,关于纳米颗粒曳力计算及输运特性的研究较为困难,通常会采用一些近似方法,将自由分子区或者连续介质区的理论计算式进行修正,以适用于过渡区,但是其准确性值得商榷.本文基于分子动力学模拟方法,研究了过渡区内纳米颗粒的曳力特性,并与相关理论进行对比.结果表明,气-固分子间相互作用对纳米颗粒的曳力具有显著影响.当气固结合强度较弱时,理论计算结果与分子动力学模拟值吻合较好;当气固结合强度较强时,分子动力学模拟结果明显大于理论值,这是由于气体分子在纳米颗粒表面的吸附所导致.基于气体分子在颗粒表面的吸附特性,提出引入有效颗粒半径修正,其过渡区内曳力的理论计算结果与分子动力学模拟结果吻合较好.     

求解非线性互补问题的逐次逼近阻尼牛顿法

针对非线性互补问题,提出了与其等价的非光滑方程的逐次逼近阻尼牛顿法,并 在一定条件下证明了该算法的全局收敛性.数值结果表明,这一算法是有效的.     

氢氧混合物爆轰激励下铝粉快速反应温度的测量

此文采用光谱仪及光电探测技术，测量了激波管中加入不同粒度的铝粉后快速反应的激发温度和辐射温度。结果表明：温度随铝粉粒度减小而增大；激发温度高于辐射温度；激波管中铝粉快速反应的热辐射近似为灰体辐射。