Comparação entre as técnicas de interpolação direta e dupla reciprocidade na solução do problema de autovalor
Comparison of direct interpolation and double reciprocity techniques for solving the eigenvalue problem
DOI:
https://doi.org/10.34117/bjdv8n11-198Keywords:
método dos elementos de contorno, dupla reciprocidade, método interpolação diretaAbstract
O presente trabalho apresenta os princípios matemáticos e compara duas técnicas do Método dos Elementos de Contorno que usam funções de base radial para resolver a integral relacionada ao termo reativo da Equação de Helmholtz. Assim, em um primeiro momento, apresenta-se a técnica da Dupla Reciprocidade, a qual usa procedimentos relacionados com a aplicação de princípios de reciprocidade para transformar a integração do domínio em integral de contorno. Em um segundo momento, a apresenta-se a técnica da Interpolação Direta, que se baseia em um procedimento de interpolação, no qual todo o núcleo do integral do domínio é aproximado. A comparação entre as duas técnicas é realizada por meio da análise de precisão das frequências naturais, encontradas pela solução dos problemas de autovalor. Um exemplo clássico foi escolhido para a avaliação dos resultados.
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