Numerical integration based on bivariate quadratic spline quasi-interpolants on Powell-Sabin partitions

被引：10

作者：

Sablonniere, P. ^{[1
]}

Sbibih, D. ^{[2
]}

Tahrichi, M. ^{[2
]}

机构：

[1] INSA Rennes, Rennes, France

[2] Univ Mohammed 1, Lab MATSI, Equipe ANTI URAC05, Ecole Super Technol, Oujda, Morocco

来源：

BIT NUMERICAL MATHEMATICS | 2013年 / 53卷 / 01期

关键词：

Cubature rule; Spline quasi-interpolant; Powell-Sabin spline; PRODUCT INTEGRATION;

D O I：

10.1007/s10543-012-0391-3

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper we generate and study new cubature formulas based on spline quasi-interpolants in the space of quadratic Powell-Sabin splines on nonuniform triangulations of a polygonal domain in a"e(2). By using a specific refinement of a generic triangulation, optimal convergence orders are obtained for some of these rules. Numerical tests are presented for illustrating the theoretical results.

引用

页码：175 / 192

页数：18

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