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随机平面弹性问题的协调有限元分析
  • ISSN号：1000-081X
  • 期刊名称：《高等学校计算数学学报》
  • 时间：0
  • 分类：O242.21[理学—计算数学;理学—数学]
  • 作者机构：[1]四川大学数学学院,四川成都610064, [2]西华师范大学实验中心,四川南充637009
  • 相关基金：国家自然科学基金（11171239）
作者： 许小静[1], 范文文[1], 谢小平[1]
关键词： 等几何分析, NURBS, 有限元, 组合杂交法, Isogeometric analysis, NURBS, finite element, combined hybrid method
中文摘要：

本文考虑基于等几何分析的组合杂交有限元方法对平面线弹性问题的数值求解.利用等几何分析思想,位移、应力的有限元空间均由构造求解区域的NURBS基函数生成.数值算例表明,基于等几何分析的组合杂交有限元法能得到良好的数值结果.

英文摘要：

This paper considers the combined hybrid method based on Isogeometric analysis for the numerical solution to the plane elasticity equations. Following the ideas of Isogeometric analysis,the displacement and stress finite element spaces are spanned by the NURBS basis functions which are used to construct the physical domain. Numerical experiments show that the combined hybrid method based on Isogeometric analysis gets excellent numerical results.

同期刊论文项目
杂交有限元法的自适应理论与快速算法
期刊论文 27
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期刊信息
  • 《高等学校计算数学学报》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:南京大学
  • 主编：何炳生
  • 地址：南京汉口路22号大学数学系
  • 邮编：210093
  • 邮箱：math@nju.edu.cn
  • 电话：025-83593396
  • 国际标准刊号：ISSN：1000-081X
  • 国内统一刊号：ISSN：32-1170/O1
  • 邮发代号:28-17
  • 获奖情况:
  • 国家教委优秀期刊二等奖,江苏省优秀期刊奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:2642