三维非线性多层渗流方程耦合系统的差分方法

对三维多层非线性渗流方程耦合系统提出适合并行计算的二阶迎风分数步差分格式, 利用变分形式、能量方法、差分算子乘积交换性、高阶差分算子的分解、先验估计的理论和技巧, 得到收敛性的最佳阶的l²误差估计. 该方法已成功地应用到油资源运移聚集数值模拟的生产实际中.     

内-FI群和外-FI群

若群Ｇ的同构子群类均是有限的，则称群Ｇ为ＦＩ群，本文分别研究了所谓的内－ＦＩ群和外－ＦＩ群的性质，给出了这两类无限群的令人满意的结构描述。     

某些2-苯基-5-(β-苯乙烯基)呋喃衍生物的合成

以取代苯基糠醛和苄基鳞盐为原料,通过Wittig反应制得十六种2-苯基-5-(β-苯乙烯基)呋喃衍生物,初步考察了所得化合物的荧光性质。     

油藏模拟中几个数学问题

本文综述油藏数值模拟中几个问题,二次采油中油、水两相驱动问题,三次采油中强化采油(化采)的数值模拟问题。     

斜入射时孔径衍射旋量理论

利用电磁场的旋量体系方法对斜入射平面波的平面孔径的电磁衍射进行了分析.获得了任意入射情况下孔径的衍射强度公式,并以特例说明与前人的公式是一致的.     

基于概率分析的污垢模型

本文基于污垢形成的随机性,在给定风险水平的条件下,利用概率方法和在污垢形成过程中,污垢热阻达到临界可接受水平的时间遵循分布规律,同时考虑初始污垢热阻影响,推导给出了考虑初始污垢热阻的污垢模型,并用实验验证了模型的可用性。     

一类无限群中局部幂零性的判定准则

设G是任意群,群G的Frattini子群Frat(G)定义为G的所有极大子群的交.类似地,群G的另外两个特征子群nFrat(G)及R(G)分别定义为群G的所有极大正规子群及群G的所有正规的极大子群的交.本文通过对Frat(G),nFrat(G)及R(G)的相互包含关系的研究,得到CF-群或中心由多重循环群的扩张群中局部幂零性的一个判定准则.同时也讨论了在某些群类中若干种广义幂零性的等价性.     

FIXED STREAM-TUBE METHOD FOR SOLVING TWO-PHASE PLANE FLOW PROBLEMS AND ITS THEORETICAL ANALYSIS

The fixed stream-tube method widely adopted in engineering field for giving anapproximate solution to the two-dimensional problems of two-phase flow through porousmedia is summarized and an improvement has been made in this paper.Its core part,i.e.,thefluid displacement within a one-dimensional stream tube with variable cross-sectional areaunder a given pressure difference across the tube is thoroughly studied.The existence anduniqueness of solution are proved the exact solution,numerical solution and itsconvergence.stability analyses are given in this paper.     

A MIXED FINITE ELEMENT METHOD FOR THE TRANSIENT BEHAVIOR OF A SEMICONDUCTOR DEVICE

The transient behavior of a semiconductor device is described by a system of three quasilinear partial differential equations. One is elliptic in form for the electric potential and the other two are parabolic in form for the conservation of electron and hole concentrations. The electric potential equation is discretized by a mixed finite element method. The electron and hole density equations are treated by a Galerkin method that applies a variant of the method of characteristics to the transport terms. Optimal order convergence analysis in L2 is given for the proposed method.