Revista: | Journal of the Brazilian Society of Mechanical Sciences and Engineering |
Base de datos: | PERIÓDICA |
Número de sistema: | 000312222 |
ISSN: | 1678-5878 |
Autores: | Araujo, F.C. de1 Mansur, W.J2 Dors, C Martins, C.J |
Instituciones: | 1Universidade Federal de Ouro Preto, Departamento de Engenharia Civil, Ouro Preto, Minas Gerais. Brasil 2Universidade Federal do Rio de Janeiro, Programa de Engenharia Civil, Rio de Janeiro. Brasil |
Año: | 2004 |
Periodo: | Abr-Jun |
Volumen: | 26 |
Número: | 2 |
Paginación: | 231-248 |
País: | Brasil |
Idioma: | Inglés |
Tipo de documento: | Artículo |
Enfoque: | Aplicado |
Resumen en inglés | In this paper, new developments concerning the use of BE/BE coupling algorithms for solving 3D time-harmonic problems are reported. The algorithms are derived by considering different iterative solvers. Their chief idea is to work with the global sparse matrix of the coupled system, however without considering the many zero blocks associated with the non-coupled nodes of different subregions. The use of iterative solvers makes it possible to store and manipulate only the block matrices with non-zero coefficients. Preconditioned iterative solvers based on the Lanczos, bi-conjugate gradient, and GMRES (generalized minimal residual) methods are used to derive the BE/BE coupling algorithms. A description of the formulation of these solvers, which are completely general and can be applied to any non-singular, non-hermitian systems of equations, is provided. The performance of the algorithms is verified by solving some foundation-soil interaction problems. Important parameters for estimating the efficiency of the algorithms as required CPU times, matrix sparsity, and accuracy of the obtained responses are presented in the results of the paper |
Disciplinas: | Matemáticas |
Palabras clave: | Matemáticas aplicadas, Elementos de frontera, Acoplamiento, Algoritmos, Análisis de frecuencia, Modelos 3D, Interacción tierra-estructura, Sistemas complejos, Iteración, Solucionadores |
Keyword: | Mathematics, Applied mathematics, Boundary elements, Coupling, Algorithms, Frequency analysis, 3D modeling, Soil-structure interaction, Complex systems, Iteration, Solvers |
Texto completo: | Texto completo (Ver HTML) |