J4 ›› 2011, Vol. 46 ›› Issue (11): 122-126.

• Articles • Previous Articles    

A posteriori error estimates for Legendre-Galerkin spectral  methods in two dimensions

ZHOU Jian-wei1, YANG Dan-ping2*   

  1. 1. Department of Mathematics, Linyi University, Linyi 276005, Shandong, China;
    2. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2010-08-02 Online:2011-11-20 Published:2011-11-30


Some posteriori error indicators and their reliablity and efficiency properties for Legendre-Galerkin spectral methods in two dimensions are deduced. Especially, a posteriori error indicators are determined by the known righthand side term in model equations. We reformulate these a posteriori error indicators as explicit forms, so as to be easily calculated in practical applications.

Key words: a posteriori error indicator; Legendre-Galerkin spectral methods; reliability

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