Superconvergence analysis of nonconforming finite element method for time-fractional nonlinear parabolic equations on anisotropic meshes

In this paper, we prove a novel result of the consistency error estimate with order $O\left(h^2\right)$ for $E{Q}_1^{rot}$ element (see Lemma 2) on anisotropic meshes. Then, a linearized fully discrete Galerkin finite element method (FEM) is studied for the time-fractional nonlinear parabolic problems, and the superclose and superconvergent estimates of order $O(\tau +h^2)$ in broken $H^1$-norm on anisotropic meshes are derived by using the proved character of $E{Q}_1^{rot}$ element, which improve the results in the existing literature. Numerical results are provided to confirm the theoretical analysis.     

Input-to-state learning of recurrent neural networks with delay and disturbance

This article deals with the issue of input-to-state stabilization for recurrent neural networks with delay and external disturbance. The goal is to design a suitable weight-learning law to make the considered network input-to-state stable with a predefined -gain. Based on the solution of linear matrix inequalities, two schemes for the desired learning law are presented via using decay-rate-dependent and decay-rate-independent Lyapunov functionals, respectively. It is shown that, in the absence of external disturbance, the proposed learning law also guarantees the exponential stability of the network. To illustrate the applicability of the present weight-learning law, two numerical examples with simulations are given.     

Plasmonic coupling-enhanced in situ photothermal nanoreactor with shape selective catalysis for C-C coupling reaction

Carbon-carbon (C-C) coupling reactions represent one of the most powerful tools for the synthesis of complex natural products, bioactive molecules developed as drugs and agrochemicals. In this work, a multifunctional nanoreactor for C-C coupling reaction was successfully fabricated via encapsulating the core-shell Cu@Ni nanocubes into ZIF-8 (Cu@Ni@ZIF-8). In this nanoreactor, Ni shell of the core-shell Cu@Ni nanocubes was the catalytical active center, and Cu core was in situ heating source for the catalyst by absorbing the visible light. Moreover, benefiting from the plasmonic resonance effect between Cu@Ni nanocubes encapsulated in ZIF-8, the absorption range of nanoreactor was widened and the utilization rate of visible light was enhanced. Most importantly, the microporous structure of ZIF-8 provided shape-selective of reactant. This composite was used for the highly shape-selective and stable photocatalysed C-C coupling reaction of boric acid under visible light irradiation. After five cycles, the nanoreactor still remained high catalytical activity. This Cu@Ni@ZIF-8 nanoreactor opens a way for photocatalytic C-C coupling reactions with shape-selectivity.

     

Anchoring DTPA grafted PEI onto carboxylated graphene oxide to effectively remove both heavy metal ions and dyes from wastewater with robust stability

Highly efficient adsorbents, which can effectively remove both metal ions and dyes from wastewater with robust stability, are strongly required for the remediation of current polluted aqueous system, but still a challenge to be realized. Herein, a new adsorbent has been designed to solve this problem by anchoring diethylene triamine pentaacetic acid (DTPA) grafted polyethyleneimine (PEI) onto carboxylated GO (GOC-g-PD). Given the amino and carboxyl active groups from PEI and GOC/DTPA, our GOC-g-PD displays good adsorption capacity against not only inorganic metal ions (Cu²⁺ and Pb²⁺) but also organic dye (methylene blue: MB). The maximum adsorption capacity of GOC-g-PD for Cu²⁺, Pb²⁺ and MB reached 309.60 mg·g^?1, 316.17 mg·g^?1 and 262.10 mg·g^?1, respectively. Furthermore, our GOC-g-PD also exhibits good cycling stability and chemical stability against wide pH values. These outstanding properties revealed our GOC-g-PD held great potential in purifying the sewage discharged from industries.

Graphical abstract

     

石膏矿山顶板破坏机理探讨

近几年来，国内的石膏矿山中，大规模采空区顶板冒落事故频繁发生。目前，对于石膏矿山大规模顶板冒落发生机理研究的还很少。根据近几年对石膏矿山的现场调查，结合岩体力学的相关理论和数值模拟技术，得出石膏矿采场顶板冒落及大规模采空区顶板冒落主要是由于石膏矿柱流变特性使其强度变低及随着采区的扩大，石膏矿柱应力增大等而引起的。     

TDR技术在雅安峡口滑坡监测中的应用

该文概述了TDR技术的国内外研究现状,简要描述了TDR技术用于监测滑坡的原理,给出了一个TDR技术在雅安峡口滑坡监测中的应用实例,通过对试验数据的分析,讨论了TDR监测滑坡的实际应用效果,总结了TDR技术用于监测滑坡的优、缺点。     

清洁生产

阐述清洁生产的重要性，清洁生产的概念、方法以及清洁生产的全过程。     

用"水泥基灌浆材料"加固钢筋砼承载构件的商榷

探讨了“水泥基灌浆材料”这种新型“灌浆”材料对加固大体积钢筋砼承载构件的影响.