Abstract:

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