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多重网格求解动力方程方法研究
引用本文:杨 强,党亚民,赵文娇,等.多重网格求解动力方程方法研究[J].测绘工程,2014(1):17-20.
作者姓名:杨 强  党亚民  赵文娇  
作者单位:[1]中国测绘科学研究院,北京100830 [2]山东科技大学,山东青岛266590
摘    要:在求解动力方程过程中,引入多重网格方法,通过多次迭代、逐渐细分网格的方法简化有限元模型的计算,并进行实例分析。研究结果表明,多重网格方法运用灵活、减少运算量、计算简便且具有降噪的优势,这种方法的引入,为地壳运动和形变的研究提供了一个有用的工具。

关 键 词:多重网格  有限元  动力方程  迭代方法

Research on the solution to the dynamic equation with multigrid method
YANG Qiang,DANG Ya-min,ZHAO Wen-jiao,DU Bin.Research on the solution to the dynamic equation with multigrid method[J].Engineering of Surveying and Mapping,2014(1):17-20.
Authors:YANG Qiang  DANG Ya-min  ZHAO Wen-jiao  DU Bin
Institution:1.Chinese Academy of Surveying and Mapping, Beijing 100830, China; 2.Chinese Academy of Surveying and Mapping, Beijing 100830, China;Shandong University of Science and Technology,Qingdao 266590, China;)
Abstract:The method is introduced.Multigri mothod is used during solving the dynamic equations,of which the several times iterative and gradual grid subdivision are used to simplify the calculation of FEM.Its case analysis Shows the multigrid method has the advantages of using flexibly,reducing operand,simplifying calculation and restraining noise.The introduction of multi-grid method provides a useful tool for the study of crustal movement and deformation.
Keywords:multigrid  finite element  dynamic equation  iterative method
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