New developments on BE/BE multi-zone algorithms based on krylov solvers - applications to 3D frequency-dependent problems.

Araújo, Francisco Célio deMansur, Webe JoãoDors, ClebersonMartins, Cláudio José2013-01-282013-01-282004ARAÚJO, F. C. de et al. New developments on BE/BE multi-zone algorithms based on krylov solvers - applications to 3D frequency-dependent problems. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 26, n. 2, p. 231-248, 2004. Disponível em: <http://www.scielo.br/pdf/jbsmse/v26n2/21059.pdf>. Acesso em: 28 jan. 2013.16785878http://www.repositorio.ufop.br/handle/123456789/2068In 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.en-USIterative solvers for complex-valued systemsSoil-foundations interactionBoundary elements-BEBE/BE coupling algorithmsFrequency-dependent analysisNew developments on BE/BE multi-zone algorithms based on krylov solvers - applications to 3D frequency-dependent problems.Artigo publicado em periodicoTodo o conteúdo do periódico Journal of the Brazilian Society of Mechanical Sciences and Engineering, exceto onde identificado, está sob uma licença Creative Commons que permite copiar, distribuir e transmitir o trabalho em qualquer suporte ou formato desde que sejam citados o autor e o licenciante. Não permite o uso para fins comerciais. Fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering <http://www.scielo.br/scielo.php?script=sci_serial&pid=1678-5878&lng=pt&nrm=iso>. Acesso em: 19 mar. 2019.