On the embedding and compact properties of finite element spaces
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.
KeywordsElement Space Basic Compactness Discontinuous Point Finite Element Approximation Finite Element Space
Unable to display preview. Download preview PDF.
- 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
- Adams, R.A.,Sobolev Spaces, Academic Press, New York (1975).Google Scholar
- Ciarlet, P.C.,The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, New York, Oxford (1978).Google Scholar