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Volume 19, Issue 1
Orthogonal Piece-Wise Polynomials Basis on an Arbitrary Triangular Domain and Its Applications

Jia-Chang Sun

J. Comp. Math., 19 (2001), pp. 55-66.

Published online: 2001-02

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  • 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.

  • Keywords

Orthogonal piece-wise polynomials, Triangular domain, Eigen-decomposition.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-55, author = {Sun , Jia-Chang}, title = {Orthogonal Piece-Wise Polynomials Basis on an Arbitrary Triangular Domain and Its Applications}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8957.html} }
TY - JOUR T1 - Orthogonal Piece-Wise Polynomials Basis on an Arbitrary Triangular Domain and Its Applications AU - Sun , Jia-Chang JO - Journal of Computational Mathematics VL - 1 SP - 55 EP - 66 PY - 2001 DA - 2001/02 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8957.html KW - Orthogonal piece-wise polynomials, Triangular domain, Eigen-decomposition. AB -

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.

Sun , Jia-Chang. (2001). Orthogonal Piece-Wise Polynomials Basis on an Arbitrary Triangular Domain and Its Applications. Journal of Computational Mathematics. 19 (1). 55-66. doi:
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