Numerical Approximation of Weakly Singular Integrals on a Triangle

被引：1
|
作者：
Serafinil, Giada [1 ]
机构：
[1] Univ Basilicata, Dept Math Comp Sci & Econ, Vle Ateneo Lucano 10, I-85100 Potenza, Italy
来源：
NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS (NUMTA-2016) | 2016年 / 1776卷
关键词：
EQUATIONS;
D O I：
10.1063/1.4965357
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose product cubature rules based on the polynomial approximation in order to evaluate the following integrals I(F;y) = integral K-T(x,y)F(x)omega(x)dx, where x = (x(1), x(2)), y = (y(1), y(2)), K is a "weakly"singular or a "nearly"singular kernel, the domain T is the triangle of vertices (0, 0), (0, 1), (1, 0), f is a given bivariate function defined on T and omega is a proper weight function.
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