Comparação entre o Método de Análise Isogeométrica e o Método dos Elementos Finitos
DOI:
https://doi.org/10.5540/tema.2017.018.01.0085Keywords:
Método Isogeométrico, Método dos Elementos Finitos, NURBS, Equações Diferenciais ParciaisAbstract
O Método de Análise Isogeométrica (AIG) é uma combinação entre o
Método dos Elementos Finitos (MEF) e NURBS (Non-Uniform Rational B-Splines)
onde as funções NURBS, além de representarem o domínio do problema, denem a
base do espaço no qual aproximamos a solução de uma Equação Diferencial Parcial.
Neste trabalho, a formulação básica do AIG é apresentada e discutiremos brevemente
a formulação fraca do problema a partir da base de funções NURBS. Além
disso, mostramos comparações numéricas entre o método dos elementos nitos e o
método isogeométrico em termos de convergência. Por último, destacamos em um
exemplo, uma das vantagens obtidas pelo AIG frente ao MEF devido à modelagem
do domínio pelas funções NURBS. Um dos objetivos deste trabalho é servir como
referência em português para uma introdução ao método AIG.
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