In chapter 2 , when the interface points decompose ( 0 , 1 ) with equal distance into multi - subdomains , there is given that a new error estimate result on the difference solution of the domain decomposition algorithm developed by c . n . dawson and others [ 13 ] for solving the heat equation 在第二章，我们在内边界点为等距分划的多子区域条件下，得到dawson等人关于求解热传导方程区域分解算法差分解的误差估计。
In view of problems on solving parabolic equation with non - differentiability , parameter identification on the problems is discussed in this paper by non - overlapping domain decomposition method . main theoretic results are as following . 1 本文针对一类具有极大不可微性的抛物型方程定解问题，采用非重叠型区域分解算法，应用分布参数系统的参数辨识与最优控制理论，研究了该问题的参数辨识问题，主要的理论结果如下： 1
In light of fact that both fem and bem have different characters and they are complementary to each other , an iterative method is developed by combining the two methods using domain decomposition method , which combines the merits of both and keeps each other ' s individuality 针对有限元法与边界元法各自的特点及其互补性，使用区域分解法将两者结合起来，实现迭代求解。这种求解方法既结合了两者的优点又保持了两者的独立性。
The fbc for connecting the subdomains on fictitious boundary is developed according to the actual field distribution in the waveguide to ensure the propagation of waves between adjacent subdomains . the relaxed algorithm is introduced to improve the iterative convergence 文中从实际场分布出发，在划分区域的虚拟边界上给出了连接子域的吸收虚拟边界条件，并通过引入松弛算法，构建了一种能够用于分析波导问题的松弛迭代区域分解法。
Secondly , the physical nature of divergence of iterative ddm based on the schwarz alternating method in treating waveguide problems is given in this paper . also an absorbing fictitious boundary condition ( fbc ) is presented to generate an iterative ddm for waveguide problems 其次，针对helmholtz方程微分算子的系数矩阵非正定，基于schwarz交替法的迭代区域分解法，在分析波导问题时迭代不收敛的困难，探讨了产生这一问题的物理本质。
In chapter 3 , a new decomposition algorithm for the heat equation is also developed by using saul ' yev ' s asymmetric schemes at the interface points , and the prior error estimates of the approximate solution is obtained . the results of the new algorithm is compared with that of the algorithm in [ 13 ] 在第三章，我们以saul ' yev非对称格式作内边界处理，发展了的新的区域分解算法，得到了差分解的先验误差估计，并与dawson等人的算法作了比较。
Based on domain decomposition method ( ddm ) , a hybrid technique is presented for the analyses of electromagnetic scattering by electrically large bodies with deep cavities . it can alleviate the problem of memory units when applying fem alone to such objects 采用基于区域分解技术的fem用o一ptd方法，分析了带有深腔的三维电大尺寸导体目标的电磁散射特性，克服了单纯的fem / po一ptd方法分析带有电尺寸较大的深腔目标时，计算机内存无法满足要求的缺点。
The concept of minimum distribution part ( mdp ) is put forward together with the adjacent table based method to divide a distribution network into several mdps . based on above theory ; a novel way to identify fault sections of a distribution network is presented . algorithm to isolate the fault section with minimum switch operations and identifying of over - tripped switches are discussed 提出最小配电区域的概念，并基于等长邻接表的数据结构建立了最小配电区域分解的方法，在此基础上发展了一种新颖的配电网故障区域判断和隔离方法，研究了以最少的开关操作隔离故障区域的方法和越级跳闸开关的判断问题，探讨了针对采用重合分段器的配电网故障区域判断和隔离问题。
The working paper will analyze and study the farmer labors income inequality in 4 parts in one part , the theories and measuring indexes being applied into this study are reviewed and commented for one thing , and selected indexes and methods applied by chinese outstanding conditions based on this . by dynamical demonstration of the income inequality , it makes known that the income inequality in different rural areas obviously trends to be increasingly widen 本论文主要针对这一现象进行了分析与研究，研究内容主要分为四大部分：第一部分首先对研究所依据的理论体系进行回顾与评析，并对现有的诸多测量指标进行了优劣评价，在此基础上结合中国现实情况选择了本研究所使用的评价指标与测量方法，然后据此从省际、东中西以及不同收入水平区域角度，对改革以来中国地区间农民收入的差异进行了动态的实证描述，同时采用theil模型对农民收入的总体差异进行了区域分解。
This paper analyzes the basic theory of the parallel computing at first , introduces the cluster and the message passing system of mpi . then , establishes an parallel computing environment based on mpi and linux ; and then , a new high efficiency parallel algorithm ( virtual boundary forecast , vbf for short ) is introduced , which was brought forward by whtu parallel algorithm research group 本文是在mpi网络并行环境中，依照区域分解法的原理，构造多重网格的并行算法。本论文首先介绍了并行计算的基本理论，然后介绍了计算机机群系统和mpi ( messagepassinginterface )消息传递机制。在此基础上，建立了基于linux和mpi的pc机群实验环境。
