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.