Optimal error estimates of the penalty method for the linearized viscoelastic flows

In this article, optimal error estimates of the penalty method for the linearized viscoelastic flows equations arising in the Oldroyd model are derived. Furthermore, error estimates for the backward Euler time discretization scheme in L ² and H ¹-norms are obtained.     

Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates

In this article, we report on the block alternating group explicit (BLAGE) iterative method for solving the block symmetric linear system derived from the fourth-order accurate nine-point discretisation of a two-dimensional elliptic equation in cylindrical polar co-ordinates. The error analysis of the BLAGE method is discussed briefly. The performance of this more accurate BLAGE method is compared with the corresponding block successive over relaxation (BSOR) method by considering two test problems, wherein the significance of the role played by two parameters ω₁ and ω₂ of the BLAGE method becomes evident in providing both convergence and accuracy of the computed solution.     

Noise analysis compact differential evolution

This article proposes a compact algorithm for optimisation in noisy environments. This algorithm has a compact structure and employs differential evolution search logic. Since it is a compact algorithm, it does not store a population of solutions but a probabilistic representation of the population. This kind of algorithmic structure can be implemented in those real-world problems characterized by memory limitations. The degree of randomization contained in the compact structure allows a robust behaviour in the presence of noise. In addition the proposed algorithm employs the noise analysis survivor selection scheme. This scheme performs an analysis of the noise and automatically performs a re-sampling of the solutions in order to ensure both reliable pairwise comparisons and a minimal cost in terms of fitness evaluations. The noise analysis component can be reliably used in noise environments affected by Gaussian noise which allow an a priori analysis of the noise features. This situation is typical of problems where the fitness is computed by means of measurement devices. An extensive comparative analysis including four different noise levels has been included. Numerical results show that the proposed algorithm displays a very good performance since it regularly succeeds at handling diverse fitness landscapes characterized by diverse noise amplitudes.     

变电站电气总平面布置设计思路探讨

电气总平面布置应从配电装置入手，全面了解各级电压各型配电装置的布置特点，设计时应结合电气主接线，并考虑变电站站址及自然地质地形条件，线路走廊等诸多因素，经过对各级配电装置合理组合并通过技术经济比较后，确定最佳的方案。     

一种数字化矿井透地通信系统实现方案

针对矿井通信困难,提出了一种采用扩频技术、可数字化实现的矿井透地通信系统方案,并对该方案进行了理论分析和总体仿真,仿真结果及误码率分析表明了该系统设计方案的可行性,为系统的设计实现奠定了基础。     

R-M不稳定性数值模拟方法

通常,界面追踪方法都是由界面将计算区域分割为多个部分来分别处理,同时用求解黎曼问题来追踪全部波系的发展。然而在多维情况下,波系间相互作用的黎曼问题将非常复杂且目前尚处于分析阶段,故在实际应用中只能追踪界面本身。提出了一种新的界面追踪方法,该方法只追踪界面的发展而不再追踪波系,使计算量和复杂性大大减少并保持了原界面追踪方法精确捕捉界面的特点,数值结果令人满意。     

Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system

In the paper, the multi-symplectic formulation of the coupled 1D nonlinear Schrödinger system (CNLS) is considered. For the multi-symplectic formulation, a new six point scheme, which is equivalent to the multi-symplectic Preissman integrator, is derived. We also present numerical experiments, which show that the multi-symplectic scheme has excellent long-time numerical behaviour and energy conservation property.     

A New ADI Scheme for Solving Three-Dimensional Parabolic Differential Equations

A new alternating-direction implicit (ADI) scheme for solving three-dimensional parabolic differential equations has been developed based on the idea of regularized difference scheme. It is unconditionally stable and second-order accurate. Further, it overcomes the drawback of the Douglas scheme and is to be very well to simulate fast transient phenomena and to efficiently capture steady state solutions of parabolic differential equations. Numerical example is illustrated.