CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2007, Vol. 24 ›› Issue (5): 512-518.

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An Adaptive Method Based on Variational Principle in a Unified Coordinate System

YAO Wen1, ZHAO Guiping2, WANG Shuanghu2   

  1. 1. Graduated School of China Academy of Engineering Physics, Beijing 100088, China;
    2. Institute of Applied Physics and Computational Mathematics, Beijng 100088, China
  • Received:2006-05-22 Revised:2006-09-12 Online:2007-09-25 Published:2007-09-25

Abstract: Variational methods are used in a unified coordinate system.The mesh spacing, smoothness,orthogonality and regularity of grids are considered to obtain an elliptic equation for h.Typical examples demonstrate that it is possible to use variational methods in a unified coordinate system,and the distribution of h satisfies different boundary conditions.

Key words: unified coordinate system, variational method, elliptic equation

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