On the Embedding and Compact Properties of Finite Element Spaces

Wang Ming; Zhang Hong-qing

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Wang Ming, Zhang Hong-qing. On the Embedding and Compact Properties of Finite Element Spaces[J]. Applied Mathematics and Mechanics, 1988, 9(2): 127-134.

Citation:

Wang Ming, Zhang Hong-qing. On the Embedding and Compact Properties of Finite Element Spaces[J]. Applied Mathematics and Mechanics, 1988, 9(2): 127-134.

Citation:

Wang Ming, Zhang Hong-qing. On the Embedding and Compact Properties of Finite Element Spaces[J]. Applied Mathematics and Mechanics, 1988, 9(2): 127-134.

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On the Embedding and Compact Properties of Finite Element Spaces

Institute of Applied Mathematics, Dalian Institute of Technology, Dalian

Received Date: 1986-11-30
Publish Date: 1988-02-15

Abstract

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.

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References(5)

References

[1]	张鸿庆、王鸣,拟协调元空间的紧致性和拟协调元法的收敛性,应用数学和力学,7, 5 (1988),409-423.
[2]	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.
[3]	Stummel, F., Basic compactness properties of nonconforming and hybrid finite element spaces, RAIRO, Numer. Anal., 4, 1 (1980), 81-115.
[4]	Adams, R.A., Sobolev Spaces, Academic Press, New York (1975).
[5]	Ciarlet, P.C., The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, New York, Oxford (1978).