Matemática

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http://repositorio.ufes.br/handle/10/17495
Programa de Pós-Graduação em Matemática

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Telefone: (27) 4009 2474
URL do programa: http://www.matematica.ufes.br/pos-graduacao/PPGMAT

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Navegando Matemática por Assunto "Análise isogeométrica"

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    Método dos elementos finitos através da análise isogeométrica: uma introdução
    (Universidade Federal do Espírito Santo, 2016-06-24) Gomes Filho, Hélio; Gonçalves Junior, Etereldes; Carmo, Fabiano Petronetto do; Sousa, Fabrício Simeoni de
    The Isogeometric Analysis is a method that combine the Finite Elements Method with NonUniform Rational Basis Spline (NURBS). The NURBS is used to describe the geometry with great flexibility, and it can also work as basis functions. The main concepts of NURBS are presented in this study, and how to apply the method to solve ordinary and partial differential equations. A comparison between the isogeometric analysis and the classical finite elements method is showed to contrast the error behavior in both methods, and the advantages of describe exactly a domain. The elasticity problem in two-dimensional and three-dimensional model are performed as application of the isogeometric analysis, and as exemple it was developed a model of a shell based on a real structure.
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    NURBS e o método isogeométrico
    (Universidade Federal do Espírito Santo, 2016-02-26) Rocha, Franciane Fracalossi; Carmo, Fabiano Petronetto do; Gonçalves Junior, Etereldes; Sousa, Fabrício Simeoni de
    The isogeometric method proposes the use of NURBS (Non Uniform Rational Basis Spline) basis of functions for the partial differential equations solutions space, it is inspired by the finite element method. NURBS curves and surfaces are tools used in geometric computational modeling to represent objects. This dissertation deals with the NURBS basis and the NURBS curves and surfaces construction, considering mathematical concepts and emphasizing the main properties. It also presents the NURBS basis application on isogeometric method, detailing the formulation in one and two dimensions. With this, we will approach the Laplace and heat partial differential equations solution through the isogeometric method.