ORTHOGONAL PIECE-WISE POLYNOMIALS BASIS ON AN ARBITRARY TRIANGULAR DOMAIN AND ITS APPLICATIONS

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Orthogonal piece-wise polynomials Triangular domain Eigen-decomposition.
• 年，卷（期）: 2001,（1）
• 页码范围: 55-66
• 页数: 12页
• 分类号: O1
• 语种: 英文

摘要

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.