ON THE EMBEDDING AND COMPACT PROPERTIES OF FINITE ELEMENT SPACES

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

ON THE EMBEDDING AND COMPACT PROPERTIES OF FINITE ELEMENT SPACES

王鸣, 张鸿庆

Institute of Applied Mathematics, Dalian Institute of Technology, Dalian

收稿日期:1986-11-30 出版日期:1988-02-18 发布日期:1988-02-18

ON THE EMBEDDING AND COMPACT PROPERTIES OF FINITE ELEMENT SPACES

Wang Ming, Zhang Hong-qing

Institute of Applied Mathematics, Dalian Institute of Technology, Dalian

Received:1986-11-30 Online:1988-02-18 Published:1988-02-18

摘要/Abstract

摘要： 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.

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

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

王鸣;张鸿庆. ON THE EMBEDDING AND COMPACT PROPERTIES OF FINITE ELEMENT SPACES[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(2): 135-142.

Wang Ming;Zhang Hong-qing. ON THE EMBEDDING AND COMPACT PROPERTIES OF FINITE ELEMENT SPACES[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(2): 135-142.

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ON THE EMBEDDING AND COMPACT PROPERTIES OF FINITE ELEMENT SPACES

ON THE EMBEDDING AND COMPACT PROPERTIES OF FINITE ELEMENT SPACES

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