A Dynamical Approach to Constrained Nonsmooth Convex Minimization Problem Coupling with Penalty Function Method in Hilbert Space

This article is concerned with a class of nonsmooth constrained convex optimization in a real Hilbert space. Coupling with the penalty method, we propose an automatic system (AS) and a nonautomatic system (NS) modeled by differential inclusions. Under a suitable assumption on the feasible region and a proper condition on the objective and constrained functions, some valuable convergence properties of (AS) are obtained. In order to obtain strong convergence result in general cases, based on evolution differential inclusion, we propose a nonautomatic system (NS). When the control item ?(t) of (NS) satisfies some basal conditions, global and unique existence of the solution, finite time convergence to the feasible region and slow solution choice are obtained. Moreover, under different conditions of ?(t), we give some strong convergence results of (NS). Furthermore, we end the article by numerical experiments to illustrate the efficiency and good performance of the proposed systems in this article.     

The Automatical Slotted-Line System Controlled with Micro-Computer IBM 80486

This paper reports an automatical slotted-lin system which has been developed by us. This system is controlled with IBM-PC 80486. Its software is designed with C Language. It can performs a variety of measurements such as high, medium and low SWR measurement, signal source SWR, attenuation, phase shift, scattering coefficient of two port network and dielectric constant measurement etc. rapily, exately and conveniently. In this paper, the hardware composition and software design are described. A series of typical measurement results of SWR at 30MM wave-band are given. This method is adaptable for MM-Wave band and other Micro-wave band.     

Four Kinds of Microwave Measurements to Make Use of an Automatic Slotted-Line System

An automatic slotted line system controlled with the micro-computer IBM 80486 which we have developed had been reported. In this paper, the measuring principles and the software designs of impedance, attenuation, phase shift and detection law of diode measurement to make use of this system will be described, some typical measurement results will be given. This method is adaptable for MM-Wave band and other Micro-wave band.     

The hierarchical preconditioning on unstructured three-dimensional grids with locally refined regions

This paper presents two hierarchically preconditioned methods for the fast solution of mesh equations that approximate three-dimensional-elliptic boundary value problems on quasiuniform triangulations above all aiming at the numerical investigation of the previously suggested algorithms. Furthermore, improving the practical applicability of the methods unstructured three-dimensional grids possessing locally refined regions are considered. Based on the fictitious space approach, the original problem can be adaptively embedded into an auxiliary one in which hanging nodes occur. We implemented the corresponding Yserentant preconditioned conjugate gradient method as well as the BPX-preconditioned cg-iteration having nearly optimal computational costs. Several numerical examples demonstrate the efficiency of the artificially constructed hierarchical methods.     

The Measurement of Relative Complex Dielectric Constant by Means of an Automatic Slotted-Line System

This paper reports the measurement of relative complex dielectric constant of lost dielectric, by means of an automatic slotted-line system controlled with micro-computer IBM 80486 and by use of numerical method. The measuring principle, method, program and results are given. The measuring results shows that the way mentioned in this paper is successful, so it can be extended to MM-Wave band and other microwave band.