摘要
In this paper, we propose a new set of orthogonal basis functions in the arbitrarytriangular domain. At first, we generalize the 1-D Sturm-Liouville equation tothe arbitrary triangular domain on a barycentric coordinate, and derive a set ofcomplete orthogonal basis functions on this domain. Secondly, we analyze thesymmetry and periodicity property of these functions and classify them into fourclasses. At last, we show some of the visualization results of these basis functions.
In this paper, we propose a new set of orthogonal basis functions in the arbitrary triangular domain. At first, we generalize the 1-D Sturm-Liouville equation to the arbitrary triangular domain on a barycentric coordinate, and derive a set of complete orthogonal basis functions on this domain. Secondly, we analyze the symmetry and periodicity property of these functions and classify them into four classes. At last, we show some of the visualization results of these basis functions.
出处
《计算数学》
CSCD
北大核心
2003年第2期219-230,共12页
Mathematica Numerica Sinica
基金
国家自然科学基金项目60173021
国家自然科学基金项目10001032资助.
