Theory and Application of Characteristic Finite Element Domain Decomposition Procedures for Coupled System of Dynamics of Fluids in Porous Media

For a coupled system of multiplayer dynamics of fluids in porous media,the characteristic finiteelement domain decomposition procedures applicable to parallel arithmetic are put forward.Techniques suchas calculus of variations,domain decomposition,characteristic method,negative norm estimate,energy methodand the theory of prior estimates are adopted.Optimal order estimates in L~2 norm are derived for the error inthe approximate solution.     

一维问题的一种积分形式的流量重构算法

1引言我们考虑如下一维二阶椭圆边界值问题(-(β(x)p′)(x))′=f(x),x∈(a,b) p(a)=p(b)=0(1))其中β=β(x)是一恒正函数,且β∈H~1(a,b),f∈L~2(a,b)．事实上,在此条件下,我们可保证p∈H~2(a,b)(见[1],[2])．(1)之弱形式为：求p∈H_0~1(a,b)使得a(p,q)=(f,q),(?)q∈H_0~1(a,b),(2)其中a(p,q)=(?)_a~bβp′q′dx,(f,g)=(?)_a~bfqdx．给定(a,b)的一个分割α=x_0＜x_1＜…＜x_(n-1)＜x_n=b,令h=(?)(x_i-x_(i-1)),(?)_i表示通常相应于节点x_i的形状函数,即(?)_i是连续的分段线性函数且满足(?)_i(x_k)=δ_(ik),这里δ_(ik)=(?)i,k=0,1,…,n．又记V_h~0=span{(?)_1,(?)_2,…,(?)_(n-1)),取V_h~0作为p的逼近空间,则求解(1)的标准有限元格式为：求ph∈V_h~0使得     

AN IMPROVED SEARCH-EXTENTION METHOD FOR SOLVING SEMILINEAR PDES

This article will combine the finite element method, the interpolated coefftcient finite element method, the eigenfunction expansion method, and the search-extension method to obtain the multiple solutions for semilinear elliptic equations. This strategy not only grently reduces the expensive computation, but also is successfully implemented to obtain multiple solutions for a class of semilinear elliptic boundary value problems with non-odd nonlinearity on some convex or nonconvex domains. Numerical solutions illustrated by their graphics for visualization will show the efficiency of the approach.     

TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR PARTIAL DIFFERENTIAL EQUATIONS

Some two-scale finite element discretizations are introduced for a class of linear partialdifferential equations. Both boundary value and eigenvalue problems are studied. Basedon the two-scale error resolution techniques, several two-scale finite element algorithmsare proposed and analyzed. It is shown that this type of two-scale algorithms not onlysignificantly reduces the number of degrees of freedom but also produces very accurateapproximations.     

各向异性接合材料界面端部场数值分析

为了求解各向异性接合材料界面端部奇异性应力场,建立了一种新型杂交元模型.该模型的独特之处在于:基于有限元特征法得到的奇异性场数值特征解建立了一种新型界面端奇异单元.通过算例证明,新型杂交元模型能够利用较少的单元数获得较为精确的数值结果.当前模型应用范围广泛,能够用于复杂结构的界面端部场求解.     

微量元素制剂辅助治疗复发性口疮疗效观察

报道了１０３例ＲＡＵ患者使用微量元素制剂辅助治疗的临床疗效观察。将两个实验组分别与对照组比较。结果显示：应用锌、铁制剂辅助雷公藤、复方丹参等治疗的实验组Ｉ效果优于雷公藤、复方丹参对照组（Ｐ〈０．０１），而仅用锌、铁制剂治疗的实验组Ⅱ临床效果比对照组差（Ｐ〈０．０１），但锌、铁制剂有改善ＲＡＵ临床症状作用，而不能较好地控制其复发。     

An evolutionary method for optimization of plate buckling resistance

Optimization of plate buckling resistance is very complicated, because the in-plane stress resultants in the prebuckled state of a plate are functions of thickness distribution. This paper discusses the problem of finding the optimum thickness distribution of isotropic plate structures, with a given volume and layout, that would maximise the buckling load. A simple numerical method using the finite-element analysis is presented to obtain the optimum thickness distribution. Optimum designs of compression-loaded rectangular plates with different boundary conditions and plate aspect ratios are obtained by using the proposed method. Optimum designs from earlier studies and the methods of buckling analysis used to attain these results are discussed and compared with the designs from the proposed method. This paper also examines the reliability of the optimality criterion generally used for plate buckling optimization, which is based on the uniform strain energy density.     

食管贲门癌患者血清微量元素的变化

检测了３０例食管贲门癌患者手术羊后的ＳＣｕ，ＳＺｎ及Ｃｕ／Ｚｎ比值，并以２８例健康查体者作对照研究，发现：（１）食管贲门癌患者术前血清ＳＣｕ及Ｃｕ／Ｚｎ值高于对照，ＳＺｎ低于对照；（２）肿瘤患者术后１０天血清ＳＣｕ及Ｃｕ／Ｚｎ值下降，ＳＺｎ接近正常，通过本文研究提示，血清ＳＣｕ，ＳＺｎ及Ｃｕ／Ｚｎ比值与食管贲门癌患者的病情和疗效有关，可作为监测和判断病情和预后的辅助检查。     

环境微量元素与大骨节病

通过对两个自然村的大骨节病的流行病学调查结果表明，患病率在１７．２％，从Ｘ线检查病变部位都在干骺端，说明致病因素的持续作用仍在发展中，所采水样中微量元素低于国家饮水标准，在今后疾病的防治中，应根据营养条件，生态环境，元素比例，农作物的病害，制作相关的防治措施。     

健康猕猴血液和毛发微量元素含量的正常值测定和差异比较

对猕猴(Macaca mulatta)血液和毛发的镁、锰、钼、镍、铅、铬、镉、锌、铁、铜、钙等11种元素的含量，用电感耦合高频等离子体发射光谱仪进行了测定．给出了各个元素在血液和毛发中的平均含量值和变动范围．指出毛发中的微量元素含量一般较血液为高，且变动较小．与人体内含量比较，猴毛发的Cu、Mo、CA、Ni的含量与人发接近；猴血液的Zn、Fe、Ca、Mn、Ca亦与人的接近．对猴血液微量元素含量随年龄、体重、性别变化及血液含量和毛发含量的相关关系进行了统计学检验．通过对测定值的比较分析，认为尽管动物体内的微量元素含量随种类、环境、个体差异变化较大，就群体平均含量而言，仍存在着相似的变化规律。本文的测定结果对了解猕猴对微量元素的需要提供了初步依据．