Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Improving Accuracy with Isogeometric Boundary Element Method (IGABEM): Applications in Potential Theory and Linear Elasticity
Submission Author:
Deborah Cristina Nardi , SP
Co-Authors:
Deborah Cristina Nardi, Edson Denner Leonel
Presenter: Deborah Cristina Nardi
doi://10.26678/ABCM.COBEM2023.COB2023-0724
Abstract
It is widely recognized that in recent years, there has been an increasing emphasis on enhancing the precision of numerical methods. One crucial aspect is the treatment of the geometry and mechanical field approximations of a problem within a numerical method since the accuracy of the solution depends on how well these aspects are treated. In this sense, the Isogeometric approach (IGA) is a relatively new computational method that aims to improve accuracy by directly linking Computer-Aided Design (CAD) software with numerical methods. IGA achieves this by using the same basis functions to represent both the geometry and the solution. By employing non-uniform rational B-splines (NURBS), IGA provides an accurate and efficient method for describing complex geometries. The conventional Boundary Element Method (BEM) uses Lagrangian polynomials to generate the shape and the basis functions of the problem under analysis. If NURBS are used instead of Lagrangian polynomials, the Isogeometric Boundary Element Method (IGABEM) is formed, offering precise geometry representation and improved accuracy in comparison to conventional BEM. This paper presents the IGABEM formulation and its application in solving potential and elastotastic problems. Numerical examples are included to compare the performance of conventional BEM and IGABEM.
Keywords
Isogemetric Approach, Boundary Element Method, IGABEM, CAD, NURBS
