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Journal of Shanghai University（Natural Science Edition） ›› 2012, Vol. 18 ›› Issue (3): 256-260.doi: 10.3969/j.issn.1007-2861.2012.03.008

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Legendre Triangle Spectral Element Method for the Elliptic Equation

ZHANG Shuai-yin1,MA He-ping1,WANG Li-lian2   

  1. (1. College of Sciences, Shanghai University, Shanghai 200444, China;2. School of Physical Mathematical Sciences, Nanyang Technological University, Singapore 637616, Singapore)
  • Online:2012-06-30 Published:2012-06-30

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Abstract: The Legendre triangle spectral element method, based on a recent presented triangletorectangle mapping, is applied to the elliptic equation in complex geometry with combined boundary conditions. Numerical experiments for the problem in several different domains are given to confirm the validity of the method. 

Key words: elliptic equation, Legendre spectral element method, triangle

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