AN ACA ACCELERATED ISOGEOMETRIC BOUNDARY ELEMENT ANALYSIS

This paper presents an adaptive cross approximation (ACA) accelerated Isogeometric Boundary Element Method (IBEM) using Non-Uniform Rational B-Splines (NURBS) as shape and interpolation functions. Provided that NURBS are used in CAD programs to describe geometry, the mesh generation in the IBEM is n...

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Detalles Bibliográficos
Autores: Campos, Lucas Silveira, Albuquerque, Éder Lima de, Wrobel, Luiz
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Brasil
Institución:Universidade de Brasília (UnB)
Repositorio:Revista Interdisciplinar de Pesquisa em Engenharia
Idioma:inglés
OAI Identifier:oai:ojs.pkp.sfu.ca:article/21720
Acceso en línea:https://periodicos.unb.br/index.php/ripe/article/view/21720
Access Level:acceso abierto
Palabra clave:Boundary Element Method. Isogeometric analysis. ACA.
Descripción
Sumario:This paper presents an adaptive cross approximation (ACA) accelerated Isogeometric Boundary Element Method (IBEM) using Non-Uniform Rational B-Splines (NURBS) as shape and interpolation functions. Provided that NURBS are used in CAD programs to describe geometry, the mesh generation in the IBEM is no longer necessary. For large and complex models the traditional BEM quickly becomes very time and memory consuming and, to overcome this problem, the use of ACA is considered in this paper. Mesh generation is also found to be one of the most time consuming tasks in numerical simulations, therefore the coupling between ACA and IBEM is very promising. Numerical examples are presented in order to assess the accuracy and feasibility of the method.