Eight-node conforming straight-side quadrilateral element with high-order completeness (QH8-C1)

A new eight-node conforming quadrilateral element with high-order completeness, denoted as QH8-C1, is proposed in this article. First, expressions for the interpolation displacement function satisfying the requirements for high-order completeness in the global coordinate system are constructed. Second, the displacement function expression in global coordinates is transformed into isoparametric coordinates, and the relationships between the two series of coefficients for the two kinds of displacement function expressions are found. Third, the displacement function expression is modified to satisfy the requirements of nodal freedom and interelement boundary continuity. The key to the new element construction is the derivation of the linear relationship expressions among 12 coefficients of element displacement interpolation polynomials in the global and isoparametric coordinate systems. As a result, the relationship between quadratic completeness and interelement continuity is explicitly given, and a proof of the completeness and the continuity was conducted to theoretically guarantee the validity of the derivation results. Furthermore, in order to verify the correctness of the theoretical work, nine numerical examples were performed. The computation results from these examples demonstrate that QH8-C1 exhibited excellent performance, including high simulation accuracy, fast convergence, insensitivity to mesh distortion, and monotonic convergence.     

LPNN-based approach for LASSO problem via a sequence of regularized minimizations

In compressive sampling theory, the least absolute shrinkage and selection operator (LASSO) is a representative problem. Nevertheless, the non-differentiable constraint impedes the use of Lagrange programming neural networks (LPNNs). We present in this article the -LPNN model, a novel algorithm that tackles the LASSO minimization together with the underlying theory support. First, we design a sequence of smooth constrained optimization problems, by introducing a convenient differentiable approximation to the non-differentiable -norm constraint. Next, we prove that the optimal solutions of the regularized intermediate problems converge to the optimal sparse signal for the LASSO. Then, for every regularized problem from the sequence, the -LPNN dynamic model is derived, and the asymptotic stability of its equilibrium state is established as well. Finally, numerical simulations are carried out to compare the performance of the proposed -LPNN algorithm with both the LASSO-LPNN model and a standard digital method.     

连续小波变换在多元函数空问中的应用

使用连续小波变换讨论了某些偏微分方程和相应的积分方程之间的关系．使用连续小波变换能够将这些偏微分方程变换成相应的积分方程，这些偏微分方程与相应的积分方程不仅在弱收敛意义下是等价的，而且在范数收敛意义下也是等价的．     

企业不但应该做大更应该做强

从入世的角度 ,分析了我国企业在重组过程中存在的问题 ,并指出了我国企业做强做大的紧迫性     

A Modified Variational-Gradient Method for Quasilinear Equations

A modified variational-gradient method is proposed and substantiated for quasilinear operator equations in a Hilbert space.     

弱势的和强势的——白先勇小说中的男女角色易位

白先勇以弱势的男性和强势的女性作为建构其小说世界的基点。男女角色易位颠覆了男强女弱的传统人物塑造方式，揭示出单个人边缘化生存所不为人知的痛苦。父辈影响、生活经历及其性取向是产生这一特色的根本原因。     

泡沫酸化工艺对川中低压裂缝性油藏适应性的认识

针对川中油田经过多年的消耗式开采,各主产油田压力很低,增产改造的难度增大的发展现状,提出应用泡沫酸化工艺技术在川中低压油层增产改造的技术方案,其中分析了泡沫酸的物理特性、其在地层优良的渗流特性(滤失小、酸岩反应速度慢、返排迅速等优点),并进行了泡沫酸液体系的室内配方研究,提出了工艺设施的矿场配套研究内容.得出了泡沫酸化工艺对川中低压裂缝性油藏改造具有很强的适应性,具有推广应用的价值.