Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (6): 587-596.

• 论文 • 上一篇    

CRITERIA FOR FINITE ELEMENT ALGORITHM OF GENERALIZED HEAT CONDUCTION EQUATION

欧阳华江   

  1. Research Institute of Engineering Mechanics, Dalian Univ. of Tech., Dalian
  • 收稿日期:1990-09-28 出版日期:1992-06-18 发布日期:1992-06-18

CRITERIA FOR FINITE ELEMENT ALGORITHM OF GENERALIZED HEAT CONDUCTION EQUATION

Ouyang Hua-jiang   

  1. Research Institute of Engineering Mechanics, Dalian Univ. of Tech., Dalian
  • Received:1990-09-28 Online:1992-06-18 Published:1992-06-18

摘要: To eliminate oscillation and overbounding of finite element solutions of classical heat conduction equation, the author and Xiao have put forward two new concepts of monotonies and have derived and proved several criteria. This idea is borrowed here to deal with generalized heat conduction equation and finite element criteria for eliminating oscillation and overbounding are also presented. Some new and useful conclusions are drawn.

关键词: heat conduction equation, hyperbolic differential equation, finite element method, criteria, oscillation, overbounding

Abstract: To eliminate oscillation and overbounding of finite element solutions of classical heat conduction equation, the author and Xiao have put forward two new concepts of monotonies and have derived and proved several criteria. This idea is borrowed here to deal with generalized heat conduction equation and finite element criteria for eliminating oscillation and overbounding are also presented. Some new and useful conclusions are drawn.

Key words: heat conduction equation, hyperbolic differential equation, finite element method, criteria, oscillation, overbounding

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