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基于FETI的非协调等几何分析

祝雪峰 胡平 马正东 刘炜

祝雪峰, 胡平, 马正东, 刘炜. 基于FETI的非协调等几何分析[J]. 应用数学和力学, 2013, 34(8): 771-781. doi: 10.3879/j.issn.1000-0887.2013.08.001
引用本文: 祝雪峰, 胡平, 马正东, 刘炜. 基于FETI的非协调等几何分析[J]. 应用数学和力学, 2013, 34(8): 771-781. doi: 10.3879/j.issn.1000-0887.2013.08.001
ZHU Xue-feng, HU Ping, MA Zheng-dong, LIU Wei. Nonconforming Isogeometric Analysis With FETI Method[J]. Applied Mathematics and Mechanics, 2013, 34(8): 771-781. doi: 10.3879/j.issn.1000-0887.2013.08.001
Citation: ZHU Xue-feng, HU Ping, MA Zheng-dong, LIU Wei. Nonconforming Isogeometric Analysis With FETI Method[J]. Applied Mathematics and Mechanics, 2013, 34(8): 771-781. doi: 10.3879/j.issn.1000-0887.2013.08.001

基于FETI的非协调等几何分析

doi: 10.3879/j.issn.1000-0887.2013.08.001
基金项目: 国家自然科学基金重点资助项目(10932003;11272075);国家重点基础研究发展计划资助项目(973计划,2010CB832700);国家工信部04重大专项项目基金资助项目(2011ZX04001-021)
详细信息
    作者简介:

    祝雪峰(1979—),男,河北人,师资博士后,博士(Tel:+86-411-84706475;E-mail:xuefeng@dlut.edu.cn);胡平(1956—),男,吉林人,教授,博士,博士生导师(通讯作者.Tel:+86-411-84702573;E-mail:pinghu@dlut.edu.cn).

  • 中图分类号: O302

Nonconforming Isogeometric Analysis With FETI Method

  • 摘要: 基于非均匀有理B样条的等几何分析方法是一种无需网格划分的新的计算方法,旨在实现直接利用CAD模型进行分析,有望取代目前传统有限元技术.等几何分析已被成功应用在固体力学,流固耦合及拓扑优化等诸多领域.等几何分析方法要求CAD曲面或者实体高阶连续,而绝大多数CAD模型内多个曲面不但无法保持高阶连续,而且在公共界面处是几何非协调的.这一缺陷严重制约了等几何分析技术的进一步发展和应用.另外,由于采用高阶单元,等几何分析计算量较等自由度传统有限元要耗时.为解决这些难题,笔者在先前工作基础之上,提出了基于FETI方法的非协调等几何分析.新方法较以往的零空间解法更加快捷,适用于大规模数据的并行计算.数值算例表明本方法无需修改CAD模型,实施简单,精度满足要求,可处理复杂CAD模型.
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    [8] 祝雪峰, 马正东, 胡平. 几何精确的非协调等几何分析[J]. 固体力学学报, 2012, 33(5): 487492.(ZHU Xue-feng, MA Zheng-Dong, HU Ping. Nonconforming isogeometric analysis with exact geometry[J].Chinese Journal of Solid Mechanics,2012, 33(5):487-492. (in Chinese))
    [9] Cottrell J A, Hughes T J R, Bazilevs Y.Isogeometric Analysis: Toward Integration of CAD and FEA [M]. Wiley, 2009.
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    [13] Farhat C, Lesoinne M, Le Tallec P, Pierson K, Rixen D. FETIDP: a dual-primal unified FETI method?—part I: a faster alternative to the twolevel FETI method[J].International Journal for Numerical Methods in Engineering,2001, 50(7): 1523-1544.
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出版历程
  • 收稿日期:  2012-09-24
  • 修回日期:  2013-07-01
  • 刊出日期:  2013-08-15

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