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2 results

  • The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension

  • Jianwei Zhou
  • Journal:
    Advances in Applied Mathematics and Mechanics / Volume 7 / Issue 2 / April 2015
    Published online by Cambridge University Press:
    23 March 2015, pp. 145-157
    Print publication:
    April 2015

  • In this paper, the Chebyshev-Galerkin spectral approximations are employed to investigate Poisson equations and the fourth order equations in one dimension. Meanwhile, p-version finite element methods with Chebyshev polynomials are utilized to solve Poisson equations. The efficient and reliable a posteriori error estimators are given for different models. Furthermore, the a priori error estimators are derived independently. Some numerical experiments are performed to verify the theoretical analysis for the a posteriori error indicators and a priori error estimations.