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Advances in Computational Mathematics

, Volume 26, Issue 4, pp 473–496 | Cite as

Error analysis of spectral method on a triangle

  • Ben-yu Guo
  • Li-Lian Wang
Article

Abstract

In this paper, the orthogonal polynomial approximation on triangle, proposed by Dubiner, is studied. Some approximation results are established in certain non-uniformly Jacobi-weighted Sobolev space, which play important role in numerical analysis of spectral and triangle spectral element methods for differential equations on complex geometries. As an example, a model problem is considered.

Keywords

spectral method on triangle convergence 

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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Normal UniversityShanghaiChina
  2. 2.Division of Computational Science of E-institute of Shanghai UniversitiesShanghaiChina
  3. 3.Department of MathematicsNan yang Technology UniversitySingapore

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