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Generalized Conforming Element Theory

  • Yu-Qiu Long
  • Ke-Gui Xin

Abstract

As the beginning of Part II, this chapter discusses the fundamental theory and existing construction modes of generalized conforming finite element method. First, by discussion on the different characters of conforming and nonconforming elements, the background and need for the development of the generalized conforming element are described. Second, as an example, the earliest pattern of the generalized conforming element and its excellent performance are exhibited. Third, some theoretical features of the generalized conforming element, including duality of its variational principle basis, flexibility, multiformity and convergence, are discussed in detail.

Keywords

finite element generalized conforming element conforming nonconforming convergence 

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Copyright information

© Tsinghua University Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg 2009

Authors and Affiliations

  • Yu-Qiu Long
    • 1
  • Ke-Gui Xin
    • 1
  1. 1.Department of Civil Engineering, School of Civil EngineeringTsinghua UniversityBeijingChina

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