Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (4): 365-375.

• 论文 • 上一篇    下一篇

UNIFORM DIFFERENCE SCHEME FOR HYPERBOLIC-HYPERBOLIC SINGULAR PERTURBATION MIXED PROBLEMS

尹光炎   

  • 收稿日期:1985-06-25 出版日期:1986-04-18 发布日期:1986-04-18

UNIFORM DIFFERENCE SCHEME FOR HYPERBOLIC-HYPERBOLIC SINGULAR PERTURBATION MIXED PROBLEMS

Yin Guang-yan   

  1. Jiangnan University, Wuxi
  • Received:1985-06-25 Online:1986-04-18 Published:1986-04-18

摘要: A difference scheme is established in this paper for second-order hyperbolic-hyperbolic singular perturbation mixed problems. We give an energy inequality of the numerical solution and prove that the numerical solution converges to the solution of the singular perturbation problems uniformly with respect to a small parameter and in the sense of a discrete norm.

关键词: cascade design, hybrid problem, variational principle, finite element method

Abstract: A difference scheme is established in this paper for second-order hyperbolic-hyperbolic singular perturbation mixed problems. We give an energy inequality of the numerical solution and prove that the numerical solution converges to the solution of the singular perturbation problems uniformly with respect to a small parameter and in the sense of a discrete norm.

Key words: cascade design, hybrid problem, variational principle, finite element method

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