SENSITIVITY TO GAUSS QUADRATURE OF ISOGEOMETRIC BOUNDARY ELEMENT METHOD FOR 2D POTENTIAL PROBLEMS

被引：1

作者：

Alia, Ahlem ^{[1
]}

Ben Said, Hasna ^{[2
]}

机构：

[1] Univ Lille, Ctr Natl Rech Sci, Unite Mixte Rech 9013 LaMcube Lab Mecan, Cent Lille, Lille, France

[2] Fac Sci Gafsa, Dept Filieres Technol, Gafsa, Tunisia

来源：

JOURNAL OF THEORETICAL AND APPLIED MECHANICS | 2023年 / 61卷 / 03期

关键词：

potential problems; isogeometric analysis; boundary element method; Gauss quadrature; COLLOCATION; RULES; NURBS;

D O I：

10.15632/jtam-pl/166466

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

IsoGeometric Analysis (IGA) is widely used because it links exact geometry to analysis. When IGA is applied within the Boundary Element framework (IGBEM), and under certain boundary conditions, discretization errors can be suppressed leading to an accurate estimation of the integration errors. By using the IGBEM for potential problems, the effect of Gauss quadrature on the accuracy of each term arising in the IGBEM is studied for smooth geometry under constant boundary conditions. The results show that the method of computing singular integrals in the IGBEM is efficient. Results can be improved by selecting optimal numbers of Gauss points for both integrals.

引用

页码：585 / 597

页数：13

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