摘要
针对三角网格从二元多项式Lagrange插值基函数出发,给出了各种三角网格上的有理插值公式,并给出了唯一性和特征定理及证明.所构造的有理插值公式简单,计算量较小,且所构造的有理函数次数较低,便于实际应用.
Laying down the foundation for the basic function of the bivariate Lagrange interpolation,some rational interpolations over all kinds of triangle grids were constructed,and the uniqueness and characterization theorems were given.The rational interpolation formula is simple and easy to calculate.More importantly,the degree of rational functions is lower to facilitate practical application.
基金
国家自然科学基金(60473114)
安徽省教育厅重点项目(KJ2008A027)资助
关键词
三角网格
有理插值
基函数
特征定理
triangle grids
rational interpolation
basis function
characterization theorem
