Error analysis of spectral method on a triangle
Authors: Guo, Ben-yu; Wang, Li-Lian
Source: Advances in Computational Mathematics, Volume 26, Number 4, May 2007 , pp. 473-496(24)
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.
Document Type: Research Article
Affiliations: Email: email@example.com
Publication date: May 1, 2007