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热传导对流问题的自适应最小二乘Galerkin／Petrov混合有限元法
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学] O24[理学—计算数学;理学—数学]
  • 作者机构：[1]西安交通大学理学院,西安710049, [2]河南科技大学数学与统计学院,河南洛阳471003
  • 相关基金：国家自然科学基金资助项目（10871156;11171269）
作者： 张运章[1,2], 侯延仁[1], 魏红波[1]
关键词： 热传导对流问题, 后验误差分析, 混合有限元, 自适应有限元, 最小二乘Galerkin/Petrov法, conduction convection problems, posteriori error analysis, mixed finite element, adaptive finite element, least squares Galerkin/Petrov method
中文摘要：

对热传导对流问题提出了自适应Galerkin／Petrov最小二乘混合有限元法．该算法对任何速度和压力有限元空间的组合是相容和稳定的（不需要满足Babuska—Brezzi稳定性条件）．利用Verfurth的一般理论，得到了热传导对流问题的残量型的后验误差估计．最后通过几个数值算例验证了方法的有效性．

英文摘要：

An adaptive mixed least squares Galerkin/Petrov finite element method was devel- oped for the stationary conduction convection problems. The mixed least squares Galerkin/ Petrov finite element method was consistent and stable for any combination of discrete velocity and pressure spaces （without requiring a Babu~ka-Brezzi stability condition）. Using the general theory of Verftirth, the a posteriori error estimates of residual type are derived for the prob- lems. Finally, some numerical tests are presented to illustrate the method＇ s efficiency.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,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:8965