NURBS e o método isogeométrico
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 obje...
| Author: | |
|---|---|
| Format: | master thesis |
| Status: | Published version |
| Publication Date: | 2016 |
| Country: | Brasil |
| Institution: | Universidade Federal do Espírito Santo (UFES) |
| Repository: | Repositório Institucional da Universidade Federal do Espírito Santo (riUfes) |
| Language: | Portuguese |
| OAI Identifier: | oai:repositorio.ufes.br:10/7511 |
| Online Access: | http://repositorio.ufes.br/handle/10/7511 |
| Access Level: | Open access |
| Keyword: | Análise isogeométrica B-splines Curvas NURBS Superfícies NURBS Isogeometric analysis NURBS curves NURBS surfaces Computação gráfica Método dos elementos finitos Equações diferenciais - Soluções numéricas Matemática 51 |
| Summary: | 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. |
|---|