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Journal of Shanghai University >

2011 , Vol. 17 >Issue 3: 275 - 279

DOI: https://doi.org/doi:10.3969/j.issn.1007-2861.2011.03.012

Mathematics.Physics and Chemistry

Error Estimate of Legendre Tau Method for Two-Dimensional Poisson Equation

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2009-12-11

  Online published: 2011-06-24

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Abstract

The two-dimensional Poisson equation with homogeneous Dirichlet boundary condition by the Legendre tau method is considered. The optimal rate of convergence in H1norm of Legendre tau method for the two-dimensional Poisson equation with homogeneous Dirichlet boundary condition is obtained by taking test functions with the generalized Jacobi weight. The optimal convergent rate in Lnorm is proved by the duality argument. Numerical examples are given to verify the analysis results.

Key words： Legendre tau method; optimal error estimate; two-dimensional Poisson equation

Cite this article

SHEN Ting-Ting, MA He-Beng . Error Estimate of Legendre Tau Method for Two-Dimensional Poisson Equation[J]. Journal of Shanghai University, 2011 , 17(3) : 275 -279 . DOI: doi:10.3969/j.issn.1007-2861.2011.03.012

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