The adaptive immersed interface finite element method for elliptic and Maxwell interface problems

We propose self-adaptive finite element methods with error control for solving elliptic and electromagnetic problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. New error indicators are introduced to control the error due to non-body-fitted meshes. Flexible h-adaptive strategies are developed, which can be systematically extended to a large class of interface problems. Extensive numerical experiments are performed to support the theoretical results and to show the competitive behavior of the adaptive algorithm even for interfaces involving corner or tip singularities.     

Error Estimates and Superconvergence of Mixed Finite Element Methods for Optimal Control Problems with Low Regularity

In this paper, we investigate the error estimates and superconvergence property of mixed finite element methods for elliptic optimal control problems. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise constant functions. We derive $L^2$ and $L^\infty$-error estimates for the control variable. Moreover, using a recovery operator, we also derive some superconvergence results for the control variable. Finally, a numerical example is given to demonstrate the theoretical results.     

Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods

A cell conservative flux recovery technique is developed here for vertex-centered finite volume methods of second order elliptic equations. It is based on solving a local Neumann problem on each control volume using mixed finite element methods. The recovered flux is used to construct a constant free a posteriori error estimator which is proven to be reliable and efficient. Some numerical tests are presented to confirm the theoretical results. Our method works for general order finite volume methods and the recovery-based and residual-based a posteriori error estimators are the first result on a posteriori error estimators for high order finite volume methods.     

Error Estimates of Mixed Methods for Optimal Control Problems Governed by General Elliptic Equations

In this paper, we investigate the error estimates of mixed finite element methods for optimal control problems governed by general elliptic equations. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise constant functions. We derive $L^2$ and $H^{-1}$-error estimates both for the control variable and the state variables. Finally, a numerical example is given to demonstrate the theoretical results.     

Exponential synchronization of complex delayed dynamical networks via pinning periodically intermittent control

The problem of synchronization for a class of complex delayed dynamical networks via pinning periodically intermittent control is considered in this Letter. Some novel and useful exponential synchronization criteria are obtained by utilizing the methods which are different from the techniques employed in the existing works, and the derived results are less conservative. Especially, the traditional assumptions on control width and time delays are released in our results. Moreover, a pinning scheme deciding what nodes should be chosen as pinned candidates and how many nodes are needed to be pinned for a fixed coupling strength is provided. A Barabási-Albert network example is finally given to illustrate the effectiveness of the theoretical results.     

An alternative approach on the calculation of cohesive energy density and isothermal compressibility of alkali metal halides

In the present paper, new and useful theoretical methods for the estimation of cohesive energy density (Ced) and isothermal compressibility (k_T) of alkali metal halides are described. The mentioned theoretical methods include the use of Kaya molecular hardness equation published by us in recent years. Cohesive energy density and isothermal compressibility of alkali metal halides were calculated in the framework of mentioned theoretical methods and the results obtained were compared with both experimental data and the results of previous theoretical methods proposed to calculate the aforementioned quantities, namely cohesive energy density and isothermal compressibility. It is important to note that the results obtained in the study are in good agreement with the available experimental data and with the results of previous theoretical methods. Additionally, we also investigated the correlation with lattice energy of cohesive energy density and isothermal compressibility for alkali halides.     

Active modal control for sound field in a room

I.IntroductionInlate198()'s,thestudiesonactivenoisecontrolhavebeengraduallyturnedfromtheductsandopenspacestothemorepracticaIenclosedsoundfields.SomespeciaIworkinaccordancewiththeactiveattenuationofcabinnoisehasstartedwiththeoreticalmechanisms,systemdesignandtransducerdevelopmellt.Intensivereflectionsandtheformedstandingwavedistributioni11al1enclosedsoundfieldarealwaysthemaindifficultiesforactivenoisecontrolinthesecases.Ontheotherhand,normalmoderesponseofthefieldalsoimplementsanewmethod,theap…     

Exponential synchronization of chaotic systems with time-varying delays and parameter mismatches via intermittent control

This paper studies the synchronization of coupled chaotic systems with time-varying delays in the presence of parameter mismatches by means of periodically intermittent control. Some novel and useful quasisynchronization criteria are obtained by using the methods which are different from the techniques employed in the existing works, and the derived results are less conservative. Especially, a strong constraint on the control width that the control width should be larger than the time delay imposed by the current references is released in this paper. Moreover, our results show that the synchronization criteria depend on the ratio of control width to control period, but not the control width or the control period. Finally, some numerical simulations are given to show the effectiveness of the theoretical results.     

Theoretical and experimental study of Chen chaotic system with notch filter feedback control

Since the past two decades, the time delay feedback control method has attracted more and more attention in chaos control studies because of its simplicity and efficiency compared with other chaos control schemes. Recently, it has been proposed to suppress low-dimensional chaos with the notch filter feedback control method, which can be implemented in a laser system. In this work, we have analytically determined the controllable conditions for notch filter feedback controlling of Chen chaotic system in terms of the Hopf bifurcation theory. The conditions for notch filter feedback controlled Chen chaoitc system having a stable limit cycle solution are given. Meanwhile, we also analysed the Hopf bifurcation direction, which is very important for parameter settings in notch filter feedback control applications. Finally, we apply the notch filter feedback control methods to the electronic circuit experiments and numerical simulations based on the theoretical analysis. The controlling results of notch filter feedback control method well prove the feasibility and reliability of the theoretical analysis.     

Synchronization control of stochastic delayed neural networks

In this paper, synchronization control of stochastic neural networks with time-varying delays has been considered. A novel control method is given using the Lyapunov functional method and linear matrix inequality (LMI) approach. Several sufficient conditions have been derived to ensure the global asymptotical stability in mean square for the error system, and thus the drive system synchronize with the response system. Also, the estimation gains can be obtained. With these new and effective methods, synchronization can be achieved. Simulation results are given to verify the theoretical analysis in this paper.     

New transfer matrix method for long-period fiber gratings with coupled multiple cladding modes

A new transfer matrix method for long-period fiber gratings with coupled multiple cladding modes is proposed and numerically characterized. The transmission spectra of uniform and non-uniform longperiod fiber gratings are numerically characterized. The theoretical results excellently agree with the experimental measurements. Compared with commonly used methods,such as using the fourth-order adaptive step size control of the Runge-Kutta algorithm in solving the coupled mode equation,the new transfer matrix method exhibits a faster calculation speed.     

Study on Control of Bias Point Drifting in Optical Fiber CATV Externally Modulated Transmitters

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A new method for accurately determining the modal equivalent stiffness ratio of bonded piezoelectric structures

This paper describes new methods for measuring the modal equivalent stiffness ratios and modal electromechanical coupling coefficients of piezoelectric elements attached to a host structure such as a beam. Modal equivalent stiffness ratios and modal electromechanical coupling coefficients are essential for estimating the performance and determining an optimum design of active vibration control and passive vibration suppression systems that use piezoelectric elements. Accurate determination of these modal parameters is also useful for other systems including piezoelectric sensors and energy generators. This paper not only describes the measurement methods but also presents the theoretical formulations derived by taking into account the effect of adhesive bonds. The formulations in this paper demonstrate the necessity of experimental measurements and the accuracy enhancements that the theoretical estimations can provide. Conventional methods for obtaining the modal equivalent stiffness ratios are sensitive to measurement errors, which result in the loss of accuracy, rendering these methods unreliable for many practical applications. The proposed methods use an inductor instead of an open circuit to address the abovementioned issue and, thereby, provide significant improvement in the accuracy. Because the loss factors of the experimental apparatus tend to compromise the accuracy of the proposed methods, a method using a negative resistor is proposed, theoretically analyzed, and confirmed to eliminate some of the errors introduced by loss factors. The advantages of the proposed methods and the effectiveness of theoretical analysis, considering the effect of adhesive bonds, are verified experimentally.     

Modern trends in the spectroscopy of multicharged ions

Modern experimental and theoretical methods to investigate multicharged ion spectra are reviewed, including the study of radiation and cooperative electron-nuclear effects. A theoretical approach to study the spectroscopic characteristics of heavy and superheavy multicharged ions is presented. Some new results for He-, Li- and Ne-like systems are listed.     

Theory of fission gas migration in UO2

This contribution aims to summarize the present theoretical methods used in treating gas migration in UO₂, and to review briefly the extent to which predictions of such theories for the case of Xe in UO₂, are compatible with experiment. The theory has two components: first the statistical mechanical treatment of gas trapping and migration; and secondly the calculation by computational methods of those energy terms which are shown by the statistical mechanics to be significant. The applicability of the results to the analysis of the experimental data depends upon certain crucial assumptions concerning the extent of thermodynamic control of the system. These problems will be described after our account of the theory which we present in the next section.     

Exponential Synchronization of Master-Slave Lur’e Systems via Intermittent Time-Delay Feedback Control

This paper concerns with the master-slave exponential synchronization analysis for a class of general Lur’e systems with time delay. Different from the previous methods based on the differential inequality technique, a new approach is proposed to derive some new exponential synchronization criteria. The restriction that the control width has to be larger than the time delay is removed. This leads to a larger application scope for our method. Moreover, no transcendental equation is involved in the obtained result, which reduces the computational burden. Two examples are given to validate the theoretical results.     

非线性反馈控制强流加速器中的束晕—混沌现象

 基于Poincare-Lyapunov定理, 应用定性分析,提出用非线性反馈法实现对束晕-混沌的控制。矩阵传输理论研究已发现：质子束的空间电荷效应导致质子束径向发散及束晕现象。因此, 构造一类正弦等形式的非线性反馈函数去抵消质子束空间电荷非线性效应。PIC数值模拟结果证实该方法的可行性,为实验提供一定理论依据。     

PN9000相位噪声测试系统扩频方法研究

在航天测控领域,相位噪声指标已成为系统性能的限制性因素,精确测量载波的相位噪声显得尤为重要;PN9000相位噪声测试系统可直接应用于相位噪声测试,具备测试灵敏度高、系统稳定、测试快速等优点;随着航天测控领域所用频率的不断提高,针对PN9000相位噪声测试系统基本配置的频率范围已无法满足测试需求的问题,为满足PN9000相位噪声测试系统扩频需求,文中提出基于相位检波器法(基本型)和基于中频相位检波器法两种扩频方法,并对两种方法进行原理分析和实验验证;根据实验结果,两种方法均能有效实现扩频功能,但在系统本底相位噪声及经费使用方面各有不同特点;文中提供的方法及实验数据,对PN9000相位噪声测试系统扩频升级及配件选购等具有很好的借鉴作用。     

气液混输管线与立管系统严重段塞流数值研究

针对气液混输管线与立管系统严重段塞流问题, 采用严重段塞流形成条件一致的等效原则, 发展了一种将三维管道系统等效为二维管道系统的计算流体力学(CFD)数值模拟方法. 以文献中某下倾管与立管组合系统为对象, 结合其实验工况, 对严重段塞流气液流动过程进行了数值模拟, 获得了其周期、压力波动幅值及喷发时间等关键参数的变化规律, 数值模拟与文献所述实验结果符合. 在此基础上, 建立了立管入口气液折算速度、立管含气率以及立管出口平均速度的理论模型, 获得了这些关键参数随时间的变化规律, 并给出了确定立管内气液流型变化的理论方法, 理论结果与CFD数值模拟结果一致. 建立的CFD方法大幅缩减了严重段塞流数值模拟所需的时间和资源, 推导的理论模型揭示了严重段塞流特性参数之间的关联, 可以对严重段塞流所引发的危害进行快速评估及预测,具有一定的工程应用价值.     

复杂声学环境中人耳附近空间有源降噪研究综述

复杂声学环境中人耳附近空间降噪是有源噪声控制研究的重要课题,目前采用的主要方法为有源降噪头靠(AHR)和虚拟声屏障(VSB).本文简述AHR与VSB的发展历史和研究现状,介绍其物理原理和设计方法,评述其在实际应用中的优缺点,讨论了目前存在的问题与未来相关的研究方向.已有理论、数值仿真和实验研究验证了相关技术在人耳附近空间产生静区的可行性. AHR系统需要较少控制源,系统相对简单易实现,但静区范围较小,结合虚拟传声器技术和人头跟踪技术后可实现随人头移动的静区,降噪频率可达中高频; VSB产生的静区范围较大,但控制源个数较多,系统复杂和成本高,可通过代价函数和控制源优化,以及主被动混合控制技术来提高有效降噪频率范围和减少控制源个数.