Sensitivity to Gauss quadrature of isogeometric boundary element method for 2D potential problems
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Université de Lille, Centre National de la Recherche Scientifique, Centrale Lille
Unité Mixte de Recherche 9013-LaMcube-Laboratoire de Mécanique, Multiphysique, Multiéchelle, Lille, France
Faculté des Sciences de Gafsa, Département des Filières Technologiques, Tunisia
Submission date: 2023-02-09
Final revision date: 2023-04-20
Acceptance date: 2023-05-09
Online publication date: 2023-07-03
Publication date: 2023-07-31
Corresponding author
Ahlem Alia   

LaMcube, Université de Lille, Centre National de la Recherche Scientifique, Centrale Lille, Unité Mixte de Recherche 9013, F-59000, Lille, France
Journal of Theoretical and Applied Mechanics 2023;61(3):585–597
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 cer- tain boundary conditions, discretization errors can be suppressed leading to an accurate estimation of the integration errors. By using the IGBEM for potential problems, the ef- fect 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.
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