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Science China Mathematics

, Volume 55, Issue 10, pp 2183–2192 | Cite as

High accuracy nonconforming finite elements for fourth order problems

  • Ming Wang
  • PengHe Zu
  • Shuo ZhangEmail author
Articles

Abstract

The approach of nonconforming finite element method admits users to solve the partial differential equations with lower complexity, but the accuracy is usually low. In this paper, we present a family of high-accuracy nonconforming finite element methods for fourth order problems in arbitrary dimensions. The finite element methods are given in a unified way with respect to the dimension. This is an effort to reveal the balance between the accuracy and the complexity of finite element methods.

Keywords

fourth order problem nonconforming finite element high accuracy arbitrary dimensions 

—MSC(2010)

65N30 

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Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.LMAM and School of Mathematical SciencesPeking UniversityBeijingChina
  2. 2.LSEC, ICMSEC and NCMIS, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina

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