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Superconvergence of nonconforming finite element penalty scheme for Stokes problem using L2 projection method
  • ISSN号:0253-4827
  • 期刊名称:《应用数学和力学:英文版》
  • 时间:0
  • 分类:O242.21[理学—计算数学;理学—数学]
  • 作者机构:[1]School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, P. R. China, [2]Department of Mathematics and Physics, Luoyang Institute of Science and Technology, Luoyang 471003, Henan Province, P. R. China
  • 相关基金:Project supported by the National Natural Science Foundation of China (Nos. 10971203 and 11271340) and the Research Fund for the Doctoral Program of Higher Education of China (No. 20094101110006)
中文摘要:

A modified penalty scheme is discussed for solving the Stokes problem with the Crouzeix-Raviart type nonconforming linear triangular finite element. By the L2 projection method, the superconvergence results for the velocity and pressure are obtained with a penalty parameter larger than that of the classical penalty scheme. The numerical experiments are carried out to confirm the theoretical results.

英文摘要:

A modified penalty scheme is discussed for solving the Stokes problem with the Crouzeix-Raviart type nonconforming linear triangular finite element. By the L^2 projection method, the superconvergence results for the velocity and pressure are obtained with a penalty parameter larger than that of the classical penalty scheme. The numerical experiments are carried out to confirm the theoretical results.

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期刊信息
  • 《应用数学和力学:英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编:周哲玮
  • 地址:上海市宝山区上大路99号上海大学122信箱
  • 邮编:200444
  • 邮箱:amm@department.shu.edu.cn
  • 电话:021-66135219 66165601
  • 国际标准刊号:ISSN:0253-4827
  • 国内统一刊号:ISSN:31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
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  • 美国数学评论(网络版),波兰哥白尼索引,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引(扩展库),英国科学文摘数据库,日本日本科学技术振兴机构数据库,美国应用力学评论
  • 被引量:541