Applied Mathematics and Mechanics

, Volume 9, Issue 2, pp 135–142 | Cite as

On the embedding and compact properties of finite element spaces

  • Wang Ming
  • Zhang Hong-quing


In this paper, the generalized Sobolev embedding theorem and the generalized Rellich-Kondrachov compact theorem for finite element spaces with multiple sets of functions are established. Specially, they are true for nonconforming, hybrid and quasi-conforming element spaces with certain conditions.


Element Space Basic Compactness Discontinuous Point Finite Element Approximation Finite Element Space 
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    Zhang Hong-qing and Wang Ming, Finite element approximations with multiple sets of functions and quasi-conforming elements,Proc. of the 1984 Beijing Symposium on Differential Geometry and Differential Equations, Ed. Feng Kang, Science Press (1985), 354–365.Google Scholar
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Copyright information

© SUT 1988

Authors and Affiliations

  • Wang Ming
    • 1
  • Zhang Hong-quing
    • 1
  1. 1.Dalian Institute of TechnologyInstitute of Applied MathematicsDalian

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