排序方式: 共有33条查询结果,搜索用时 15 毫秒
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Nikolaos S. PAPAGEORGIOU Nikolaos YANNAKAKIS 《数学学报(英文版)》2005,21(5):977-996
This is the first part of a work on second order nonlinear, nonmonotone evolution inclusions defined in the framework of an evolution triple of spaces and with a multivalued nonlinearity depending on both x(t) and x(t). In this first part we prove existence and relaxation theorems. We consider the case of an usc, convex valued nonlinearity and we show that for this problem the solution set is nonempty and compact in C^1 (T, H). Also we examine the Isc, nonconvex case and again we prove the existence of solutions. In addition we establish the existence of extremal solutions and by strengthening our hypotheses, we show that the extremal solutions are dense in C^1 (T, H) to the solutions of the original convex problem (strong relaxation). An example of a nonlinear hyperbolic optimal control problem is also discussed. 相似文献
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A NEW ALGORITHM OF RELAXATION METHOD FOR PARTICLE ANALYSIS FROM FORWARD SCATTERED LIGHT 总被引:1,自引:0,他引:1
Jianqi Shen Mingxu Su Junfeng Li 《中国颗粒学报》2006,4(1):13-19
1. Introduction In many cases, particle dimension and size distribution play an important role in application. The analysis of parti- cle size is therefore necessary for research and develop- ment and also for process quality control in powder tech- nology and for many particle systems (Wang et al., 2000). Many instruments have been developed and constructed for this purpose. With the rapid development and availabil- ity of laser techniques, optoelectronics and microcomputer science, light sc… 相似文献
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Electron plasma induced by a focused femtosecond pulse (130 fs, 800 nm) in dielectric materials (Soda Lime glass, K9 glass, and SiO2 crystal) is investigated by pump-probe shadow imaging technology. The relaxation of the electron plasma in the conduction band is discussed. In SiO2 crystals, a fast self-trapping process with a trapping time of 150fs is observed, which is similar to that in fused silica. However, in Soda Lime glass and K9 glass, no self-trapping occurs, and two decay processes are found: one is the energy relaxation process of conduction electrons within several picoseconds, another is an electron-hole recombination process with a timescale of lOOps. The electron collision time T in the conduction band is also measured to be in the order of 1 fs in all of these materials. 相似文献
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以蛛网捕丝与放射丝结点为研究对象,首先应用达朗贝尔原理对结点进行受力分析,运用动力松弛法将猎物作用于结点的动态力变为静力建模;然后考虑不同捕食策略对蛛网结构的影响,将捕食策略变为约束条件,蛛丝上的最小残余力作为优化目标,建立基于捕食策略的单目标规划模型;最后提出将环境影响因子转化为目标函数的约束条件的模型改进方法。 相似文献
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索杆张力结构施工成形分析需要解决一个松弛态索杆系统的平衡形态求解问题,该问题可归结为一个给定构件原长的受荷索杆机构系统的找形问题。文中利用动力松弛法进行该类松弛索杆体系的找形分析。由于不建立刚度矩阵,避免了体系几何不稳定性所引起的刚度矩阵奇异问题。该方法采用悬链线索单元模型,可以考虑索大垂度效应。文中还推导了反映索原长和内力之间关系的悬链线索单元协调方程。通过一个正交松弛索网算例分析,考察了该找形方法的计算精度和收敛性。最后还模拟了一个索穹顶的施工成形过程,表明了该找形方法用于索杆张力结构施工成形分析的有效性。 相似文献
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Zhong-zhiBai Xue-binChi 《计算数学(英文版)》2003,21(5):603-612
We present a class of asymptotically optimal successive overrelaxation methods for solving the large sparse system of linear equations. Numerical computations show that these new methods are more efficient and robust than the classical successive overrelaxation method. 相似文献
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Yao-linJiang 《计算数学(英文版)》2005,23(1):49-66
In this paper we consider continuous-time and discrete-time waveform relaxation meth-ods for general nonlinear integral-differential-algebraic equations. For the continuous-time case we derive the convergence condition of the iterative methods by invoking the spec-tral theory on the resulting iterative operators. By use of the implicit difference forms,namely the backward-differentiation formulae, we also yield the convergence condition of the discrete waveforms. Numerical experiments are provided to illustrate the theoretical work reported here. 相似文献
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§1.引论 早在1985年,Schwarz交替法就推广到了多子区域情形,并给出了带松弛因子ω的S-COR算法。[1],[2]证明,对于一致正定二阶自共轭椭圆问题,当ω∈(0,2)时,S-COR算法是收敛的。但在证明中有几处不太严格。[4]基于[3]的变分框架理论给出一新的证明,亦不严格。[4]的问题出在对引理3的使用上。尽管通过反证法可以证明,存 相似文献