期刊文献+

一个高阶各向异性三角形元超逼近性分析

SUPERCLOSE ANALYSIS OF A HIGHER ORDER ANISOTROPIC TRAINGULAR FINITE ELEMENT
在线阅读 下载PDF
导出
摘要 讨论了各向异性网格下用一个二次三角形元逼近二阶椭圆问题,利用积分恒等式等一些技巧导出了其超逼近性质,数值算例验证了理论分析的正确性。 A quadratic triangular element is discussed to solve the second order elliptic problem on anisotropic meshes. The superclose property is obtained by the use of the integral identity and some other techniques. The numerical results were given to verify the theoretical analysis.
作者 马戈 许洪范
出处 《南阳理工学院学报》 2009年第3期99-102,共4页 Journal of Nanyang Institute of Technology
关键词 二次三角形元 超逼近 各向异性网格 Quadratic triangular element Superclose Anisotropic meshes
  • 相关文献

参考文献3

二级参考文献19

  • 1石东洋,陈绍春.一类改进的Wilson任意四边形单元[J].高等学校计算数学学报,1994,16(2):161-167. 被引量:56
  • 2朱起定 林群.有限元超收敛理论[M].湖南科学技术出版社,1989..
  • 3Ciarlet P G.The Finite Element Method for Elliptic Problem[M].North-Holland:Amsterdam,1978
  • 4Zienissek A,Vanmaele M.The interpolation theorem for narrow quadrilateral isotropic metric finite elements[J].Journal of Numerical Mathematics,1995,72:123-141
  • 5Apel T,Dobrowolski M.Anisotropic interpolation with applications to the finite element method[J].Computing,1992,47:277-293
  • 6Apel T,Nicaise S.Crouzeix-Raviart type finite elements on anisotropic meshes[J].Journal of Numerical Mathematics,2001,89:193-223
  • 7Apel T.Anisotropic Finite Elements:LocM Estimate and Applications[M].B G Teubner Stuttgart:Leipzig,1999
  • 8Chen S C,et al.Anisotropic interpolations with application to nonconforming elements[J].Applied Nulnerical Mathematics,2004,49:135-152
  • 9Chen S C,et al.Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes[J].IMA Journal of Numerical Analysis,2004,24:77-95
  • 10Chen S C,et al.Three dimension quasi-Wilson element for fiat hexahedren meshes[J].Journal of Compurational Mathematics,2004,22:178-187

共引文献45

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部