Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (2): 135-142.

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ON THE EMBEDDING AND COMPACT PROPERTIES OF FINITE ELEMENT SPACES

Wang Ming, Zhang Hong-qing   

  1. Institute of Applied Mathematics, Dalian Institute of Technology, Dalian
  • Received:1986-11-30 Online:1988-02-18 Published:1988-02-18

Abstract: 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.

Key words: homotopy analysis method, primary resonance, series solution, strong non-linearity, multi-degree-of-freedom

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