Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (8): 735-743.

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THE HIGH PRECISION OPEN BOUNDARY CONDITIONS DESIGNED FOR TRANSIENT WAVES

Zou Guang-yuan   

  1. Department of Mechanics, Peking University, Beijing
  • Received:1993-05-24 Online:1994-08-18 Published:1994-08-18
  • Supported by:

    The project is supported by the National Natural Science Foundation of China

Abstract: In Refs. [2-4] there is an Adaptive Open Boundary Condition (AOBC) designed .for transient waves which overcomes the limitation of the existing Open Boundary Condition (OBC) and can be used for the cases of waves with arbitrary incident angles. In this article a new family of high or,der AOBC has been designed on the basis of the above mentioned AOBC with the first order. In comparison with all other OBC with the same order, this new family of AOBC has the highest precision.

Key words: semilinear wave equation, asymptotics, long time scale, application, adaptiveness, open boufidary condition, optimal precision

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