Título: | ADVANCED NUMERICAL INTEGRATION TECHNIQUES AND OBJECT ORIENTED PROGRAMMING APPLIED TO BOUNDARY ELEMENT METHODS | ||||||||||||
Autor: |
MARCOS AURELIO MARQUES NORONHA |
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Colaborador(es): |
NEY AUGUSTO DUMONT - Orientador |
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Catalogação: | 31/OUT/2001 | Língua(s): | PORTUGUESE - BRAZIL |
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Tipo: | TEXT | Subtipo: | THESIS | ||||||||||
Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
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Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=2060&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=2060&idi=2 |
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DOI: | https://doi.org/10.17771/PUCRio.acad.2060 | ||||||||||||
Resumo: | |||||||||||||
In Boundary Element Method analysis, the integration
procedure is one of the most important tasks, since one has
to deal with singular and quasi-singular integrals which
introduce numerical errors in the results, if they are not
evaluated adequately. In the last years, several
researchers have suggested different techniques with the
aim of handling the problem adequately. This work begins
presenting some basic concepts and a review of the most
important work published before. Following, it introduces a
unified integration technique which has a simple form and
provides highly accurate results. The proposed scheme also
deals with one- or two-dimensional singular or quasi-
singular integrals having single or multiple poles.
Besides the study of the integrals, a computational code
was developed using an objectoriented computer language
(C++). This code takes into account the conventional and
hybrid formulations of the Boundary Element Method and
supports different types of engineering analysis.
This computer program was developed in a frame of a joint
project with some researchers from the University of
Stuttgart.Finally, several numerical examples and analysis
results are displayed, showing the good performance of the
proposed technique and the influence of the integration
task in analysis using Boundary Element Methods.
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