Orthogonal Piece-Wise Polynomials Basis on an Arbitrary Triangular Domain and Its Applications

Orthogonal Piece-Wise Polynomials Basis on an Arbitrary Triangular Domain and Its Applications

Year:    2001

Author:    Jia-Chang Sun

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 55–66

Abstract

This paper present a way to construct orthogonal piece-wise polynomials on an arbitrary triangular domain via barycentric coordinates. A boundary value problem for Laplace equation and its eigenvalue problem can be solved as two applications of this approach.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-8957

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 55–66

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Orthogonal piece-wise polynomials Triangular domain Eigen-decomposition.

Author Details

Jia-Chang Sun