In this paper, we propose a parallel decomposition algorithm for solving a class of convex optimization problems, which is broad enough to contain ordinary convex programming problems with a strongly convex objective function. The algorithm is a variant of the trust region method applied to the Fenchel dual of the given problem. We prove global convergence of the algorithm and report some computational experience with the proposed algorithm on the Connection Machine Model CM-5. 相似文献
The problem of minimising the dynamic response of an anisotropic rectangular plate with minimum possible expenditure of force is presented for various cases of boundary conditions. The plate has a principal direction of anisotropy rotated at an arbitrary angle relative to the coordinate axes. This orientation angle has been taken as an optimisation design parameter. The control problem is formulated as an optimisation problem by using a performance index, which comprises a weight sum of the control objective and penalty function of the control force. The explicit solutions for the closed-loop distributed control function is obtained by means of Liapunov-Bellman theory. To assess the present solution, numerical results are presented to illustrate the effect of anisotropy ratio, orientation angle, aspect ratio and boundary conditions on the control process. 相似文献
This paper is devoted to the study of a nonlinear anisotropic elliptic equation with degenerate coercivity, lower order term and L1 datum in appropriateanisotropic variable exponents Sobolev spaces. We obtain the existence of distributional solutions. 相似文献
In the crystal structures of (2,6-lutidinium)2[CuCl4], 1 and (2,6-lutidinium)2[CuBr4], 2, the anion CuX42− is connected to eight and four surrounding cations in 1 and 2, respectively, through (N–H···X) (H2C–H···X) and (C–H···X) hydrogen bonds to form two-dimensional layers approximately normal to the crystallographic b-axis. These layers are further connected by means of offset face-to-face interactions (parallel to b-axis) to give three-dimensional structures. The hydrogen bonding (type and number) around each anion could be influenced by the anion size, as same cation is used, allowing different cation…anion interpenetrations. 相似文献
Summary: Low temperature, high pressure, non‐equilibrium plasmas are now routinely used in several material processing applications, and in some cases are competing with low pressure plasmas in areas where these have historically been dominant. Etching and deposition are examples of such applications. Amongst the novel applications of non‐equilibrium plasmas, biomedical applications such as electrosurgery, surface modification of biocompatible materials, and the sterilization of heat‐sensitive medical tools are particularly interesting. In this paper, first a brief overview of recent research on reduced‐pressure plasma‐based sterilization/decontamination methods is given. Then a detailed review and discussion on the effects of atmospheric pressure non‐equilibrium plasmas on the cells of bacteria is presented. This includes the evaluation of the inactivation kinetics and the roles of the various plasma agents in the inactivation process. Measurements of the plasma temperature, the UV emission, and concentrations of various reactive species for the case of air plasma are presented. Plasma sub‐lethal effects are also briefly discussed, and the prospects of the use of “cold” plasmas in the biomedical field are outlined.
An instrument achieving 100 KHz spectral precision using multiple correlation Fourier transform spectroscopy has been demonstrated. The instrument can measure the individual frequency comb modes of 100 MHz frequency comb lasers in air. The experiments show ~400,000 resolved modes at linewidths of 85 MHz in the region of 829 nm and ~ 182,000 resolved modes at linewidths of 28 MHz in the region of 1.5 μm, with a recording time of few minutes. The precision of the instrument, defined by the frequency positioning, attains sub‐MHz even when the scan is performed in air. 相似文献