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一个多点源扩散方程的源强识别反问题 被引量:5
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作者 殷凤兰 李功胜 贾现正 《山东理工大学学报(自然科学版)》 CAS 2011年第2期1-5,共5页
对于一类带有多个点源的扩散方程混合边值问题,应用差分法给出了一个数值求解格式,并在已知点源个数及其位置的前提下,根据出流端的浓度观测数据,应用最佳摄动量正则化算法对源强度识别反问题进行了数值反演.通过两个数值算例验证了算... 对于一类带有多个点源的扩散方程混合边值问题,应用差分法给出了一个数值求解格式,并在已知点源个数及其位置的前提下,根据出流端的浓度观测数据,应用最佳摄动量正则化算法对源强度识别反问题进行了数值反演.通过两个数值算例验证了算法的有效性,同时讨论了正则参数、数值微分步长以及初始迭代值等参数选取对反演算法的影响. 展开更多
关键词 扩散方程 多点源 反问题 最佳摄动量正则算法 数值模拟
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时间分数阶二维对流扩散方程多点源强的数值反演 被引量:1
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作者 李慧玲 李功胜 +1 位作者 贾现正 池光胜 《山东理工大学学报(自然科学版)》 CAS 2013年第6期1-6,共6页
对于一类带有多个点源的二维反常扩散问题,基于Caputo意义下时间分数阶导数的离散,给出了一个有限差分求解格式.在已知点源个数及位置的前提下,根据终止时刻的浓度观测数据,应用最佳摄动量正则化算法对源强度识别反问题进行了有效的数... 对于一类带有多个点源的二维反常扩散问题,基于Caputo意义下时间分数阶导数的离散,给出了一个有限差分求解格式.在已知点源个数及位置的前提下,根据终止时刻的浓度观测数据,应用最佳摄动量正则化算法对源强度识别反问题进行了有效的数值反演,并讨论了正则参数、分数微分阶数及数据扰动等因素对反演算法的影响. 展开更多
关键词 时间分数阶导数 二维对流扩散 多点源 反问题 最佳摄动量正则算法 数值模拟
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对流弥散方程的时间依赖反应系数反演及应用
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作者 李功胜 贾现正 张大利 《应用数学与计算数学学报》 2012年第3期312-331,共20页
探讨了一维对流弥散方程的时间依赖反应系数函数的反演问题及其在一个土柱渗流试验中的应用.借助一个积分恒等式,讨论了正问题单调解的存在条件及反问题的数据相容性.进一步考虑一个扰动土柱试验模型模拟问题,应用一种最佳摄动量正则化... 探讨了一维对流弥散方程的时间依赖反应系数函数的反演问题及其在一个土柱渗流试验中的应用.借助一个积分恒等式,讨论了正问题单调解的存在条件及反问题的数据相容性.进一步考虑一个扰动土柱试验模型模拟问题,应用一种最佳摄动量正则化算法,对反应系数函数进行了数值反演模拟,并应用于实际试验数据的反分析,反演重建结果不仅与相容性分析一致,而且与实际观测数据基本吻合. 展开更多
关键词 对流弥散方程 时间依赖反应系数 反问题 数据相容性 最佳摄动量正则算法 数值模拟 土柱试验 数据重建
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动力设备管理系统
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作者 岁丰 《管理观察》 1998年第2期52-52,共1页
关键词 动力设备 管理系统 最佳原则 最佳化算法 运行管理 运行条件 监控参数 组成方案 最佳工况 连续监控
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一个时间分数阶扩散方程的参数反演问题 被引量:6
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作者 谷文娟 李功胜 +1 位作者 殷凤兰 池光胜 《山东理工大学学报(自然科学版)》 CAS 2010年第6期22-25,共4页
研究了一维时间分数阶扩散方程中同时确定分数微分阶数与扩散系数的数值反演问题.基于对Caputo意义下时间导数的离散,提出了一个求解正问题的隐式差分格式.应用最佳摄动量正则化算法对所提参数反问题进行了数值模拟,讨论了正则参数、数... 研究了一维时间分数阶扩散方程中同时确定分数微分阶数与扩散系数的数值反演问题.基于对Caputo意义下时间导数的离散,提出了一个求解正问题的隐式差分格式.应用最佳摄动量正则化算法对所提参数反问题进行了数值模拟,讨论了正则参数、数值微分步长的选取对反演结果的影响.计算结果表明所提的参数反演问题具有数值唯一性. 展开更多
关键词 时间分数阶扩散方程 参数反演 最佳摄动量正则算法 数值模拟 数值唯一性
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Receiver Function Estimated by Wiener Filtering 被引量:4
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作者 Wu Qingju, Tian Xiaobo, Zhang Nailing, Li Weiping and Zeng RongshengInstitute of Geophysics, China Seismological Bureau, Beijing 100081, China 《Earthquake Research in China》 2003年第4期386-391,共6页
Wiener filtering is used to estimate receiver function in a time_domain. With the vertical component of 3_component teleseismic P waveform as the input of a Wiener filter, receiver function as the filter response, and... Wiener filtering is used to estimate receiver function in a time_domain. With the vertical component of 3_component teleseismic P waveform as the input of a Wiener filter, receiver function as the filter response, and radial and tangential components as the expected output, receiver function is estimated by minimizing the error between expected and actual outputs. Receiver function can be obtained by solving the Toeplitz equation using the Levinson algorithm. The non_singularity of the Toeplitz equation ensures the stability of Wiener Deconvolution. Both synthetic and observational seismogram checks show that Wiener Deconvolution is an effective time_domain method to estimate receiver function from teleseismic P waveform. 展开更多
关键词 Receiver function Wiener filter Toeplitz equation Levinson algorithm
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Global optimization over linear constraint non-convex programming problem
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作者 张贵军 吴惕华 +1 位作者 叶蓉 杨海清 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2005年第6期650-655,共6页
A improving Steady State Genetic Algorithm for global optimization over linear constraint non-convex programming problem is presented. By convex analyzing, the primal optimal problem can be converted to an equivalent ... A improving Steady State Genetic Algorithm for global optimization over linear constraint non-convex programming problem is presented. By convex analyzing, the primal optimal problem can be converted to an equivalent problem, in which only the information of convex extremes of feasible space is included, and is more easy for GAs to solve. For avoiding invalid genetic operators, a redesigned convex crossover operator is also performed in evolving. As a integrality, the quality of two problem is proven, and a method is also given to get all extremes in linear constraint space. Simulation result show that new algorithm not only converges faster, but also can maintain an diversity population, and can get the global optimum of test problem. 展开更多
关键词 global optimization linear constraint steady state genetic algorithms extremes encode convex crossover
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Convergence of shape optimization calculations of mechanical components using adaptive biological growth and iterative finite element methods 被引量:1
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作者 Mohammad Zehsaz Kaveh E.Torkanpouri Amin Paykani 《Journal of Central South University》 SCIE EI CAS 2013年第1期76-82,共7页
Shape optimization of mechanical components is one of the issues that have been considered in recent years. Different methods were presented such as adaptive biological for reducing costs and increasing accuracy. The ... Shape optimization of mechanical components is one of the issues that have been considered in recent years. Different methods were presented such as adaptive biological for reducing costs and increasing accuracy. The effects of step factor, the number of control points and the definition way of control points coordinates in convergence rate were studied. A code was written using ANSYS Parametric Design Language (APDL) which receives the studied parameters as input and obtains the optimum shape for the components. The results show that for achieving successful optimization, step factor should be in a specific range. It is found that the use of any coordinate system in defining control points coordinates and selection of any direction for stimulus vector of algorithm will also result in optimum shape. Furthermore, by increasing the number of control points, some non-uniformities are created in the studied boundary. Achieving acceptable accuracy seems impossible due to the creation of saw form at the studied boundary which is called "saw position". 展开更多
关键词 shape optimization adaptive biological growth control points step factor optimization rate
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Optimal coordinated voltage control of power systems
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作者 李艳君 HILL David J 吴铁军 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2006年第2期257-262,共6页
An immune algorithm solution is proposed in this paper to deal with the problem of optimal coordination of local physically based controllers in order to preserve or retain mid and long term voltage stability. This pr... An immune algorithm solution is proposed in this paper to deal with the problem of optimal coordination of local physically based controllers in order to preserve or retain mid and long term voltage stability. This problem is in fact a global coordination control problem which involves not only sequencing and timing different control devices but also tuning the parameters of controllers. A multi-stage coordinated control scheme is presented, aiming at retaining good voltage levels with minimal control efforts and costs after severe disturbances in power systems. A self-pattem-recognized vaccination procedure is developed to transfer effective heuristic information into the new generation of solution candidates to speed up the convergence of the search procedure to global optima. An example of four bus power system case study is investigated to show the effectiveness and efficiency of the proposed algorithm, compared with several existing approaches such as differential dynamic programming and tree-search. 展开更多
关键词 Power systems Voltage control Immune algorithm Global optimization
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Synergetic Optimization of Missile Shapes for Aerodynamic and Radar Cross-Section Performance Based on Multi-objective Evolutionary Algorithm
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作者 刘洪 《Journal of Shanghai Jiaotong university(Science)》 EI 2004年第2期36-40,共5页
A multiple-objective evolutionary algorithm (MOEA) with a new Decision Making (DM) scheme for MOD of conceptual missile shapes was presented, which is contrived to determine suitable tradeoffs from Pareto optimal set ... A multiple-objective evolutionary algorithm (MOEA) with a new Decision Making (DM) scheme for MOD of conceptual missile shapes was presented, which is contrived to determine suitable tradeoffs from Pareto optimal set using interactive preference articulation. There are two objective functions, to maximize ratio of lift to drag and to minimize radar cross-section (RCS) value. 3D computational electromagnetic solver was used to evaluate RCS, electromagnetic performance. 3D Navier-Stokes flow solver was adopted to evaluate aerodynamic performance. A flight mechanics solver was used to analyze the stability of the missile. Based on the MOEA, a synergetic optimization of missile shapes for aerodynamic and radar cross-section performance is completed. The results show that the proposed approach can be used in more complex optimization case of flight vehicles. 展开更多
关键词 multi-objective design(MOD) multidisciplinary design optimization (MDO) evolutionary algorithm synergetic optimization decision making scheme interactive preference articulation Pareto optimal set
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Application of Interval Newton Method to Solve Nonlinear Equations and Global Optimization
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作者 LI Shuang XU Caijun WANG Xinzhou 《Geo-Spatial Information Science》 2003年第1期24-27,33,共5页
The basic principle of interval arithmetic and the basic algorithm of the interval Newton methods are introduced.The prototype algorithm can not find any zero in an interval that has zero sometimes,that is,it is insta... The basic principle of interval arithmetic and the basic algorithm of the interval Newton methods are introduced.The prototype algorithm can not find any zero in an interval that has zero sometimes,that is,it is instable.So the prototype relaxation procedure is improved in this paper.Additionally,an immediate test of the existence of a solution following branch_and_bound is proposed,which avoids unwanted computations in those intervals that have no solution.The numerical results demonstrat that the improved interval Newton method is superior to prototype algorithm in terms of solution quality,stability and convergent speed. 展开更多
关键词 interval algorithm interval Newton method global optimization
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A GREEDY GENETIC ALGORITHM FOR UNCONSTRAINED GLOBAL OPTIMIZATION 被引量:6
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作者 ZHAOXinchao 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2005年第1期102-110,共9页
The greedy algorithm is a strong local searching algorithm. The genetic algorithm is generally applied to the global optimization problems. In this paper, we combine the greedy idea and the genetic algorithm to propos... The greedy algorithm is a strong local searching algorithm. The genetic algorithm is generally applied to the global optimization problems. In this paper, we combine the greedy idea and the genetic algorithm to propose the greedy genetic algorithm which incorporates the global exploring ability of the genetic algorithm and the local convergent ability of the greedy algorithm. Experimental results show that greedy genetic algorithm gives much better results than the classical genetic algorithm. 展开更多
关键词 genetic algorithm greedy algorithm greedy genetic algorithm GLOBALOPTIMIZATION
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