Solução Iterativa de Sistemas de Equações do Método dos Elementos Finitos no Computador IBM 3090
Abstract
In this work the implementation of Preconditioned Conjugate Gradients for the solution of finite element equations utilizing the vector facilities of IBM 3090 is presented. The numerical results obtained stress the remarkable computer effectiveness of the present implementation.
References
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Hughes, T.J.R.; Ferencz, R.M. e Hallquist, J.O. (1987) "Large-scale vectorized Implicit calculations in solid mechanics on a CRAY X-MP/48 utilizing EBE preconditioned conjugate gradients", Computer Methods in Applied Mechanics and Engineering, Vol. 61, pp. 215-248.
Fahrat C. e Crivelli L. (1987) "A general approach to nonlinear FE computations on shared memory multiprocessors', Center for Space Structures and controls, University of Colorado, Bouder, USA, Report CU-CSSC - 87-09.
Nour-Omid, B.; Raefsky, A. e Lyzenga, G. (1987) "Solving finite element equations on concurrent computers',Parallel Computations and Their Impact on Mechanics, Edt. by A.K. Noor, ASME, AMD-Vol. 86, pp. 209-228.
Winget, J.M. e Hughes, T.J.R. (1985) "Solution algorithms for nonlinear "transient heat conduction analysis employing element-by-element iterative strategies", Computer Methods in Applied Mechanics and Engineering, Vol. 52, pp. 711-815.
Coutinho, A.L.G.A.; Alves, J.L.D; Landau, L. e Ebecken, N.F.F. (1986) "Um procedimento elemento-por-elemento para a solução de grandes sistemas de equações do MEF pelo método dos gradientes conjugados", Proc. VII Congresso Latino-Americano Sobre Métodos Computacionais em Engenharia, São Carlos, SP, Vol. 1, pp. 243-258.
Coutinho, A.L.G.A.; Alves, J.L.D.; Landau, L.; Lima, E.C.P. e Ebecken, N.F.F. (1987) "On the application of an element-by-element Lanczos solver to large offshore structural engineering problems", Computer and Structures, Vol. 27, pp. 27-37.
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IBM VS FORTRAN Version 2 (1986)"Programming Guide", IBM Corporation SC26-4222-0.
Dubrulle, A.A., Scarborough, R.G. e Kolsky, H.G. (1985) "How to write good vectorizable FORTRAN", IBM Palo Alto Scientific Center, Report G320-3478.
Berger, P.; Brouaye, P.; e Syre, J. (1982) "A mesh coloring method for efficient MIMD processing in finite element problems", Proc. International Conference on Parallel Processing. Edts K.E. Batcher, W.C. Meilander e J.L. Potter, IEEE Computer Society Press, pp. 41-46.
Silvester, D.J. (1988) "Optimizing finite element matrix calculations using the general technique of element vectorization", Parallel Computing, Vol. 6, pp. 157-164.
Coutinho, A.L.G.A., Costa, A.M., Alves, J. L.D., Landau, L. e Ebecken, N.F.F. (1988) - "Pile driving simulation and analysis by the finite element method", 3rd International Conference on the Application of Stress-Wave Theory on Piles, Editor Blugt. H. Fllenius, Ottawa, Canada, pp.197-207.
Hughes, T.J.R.; Ferencz, R.M. e Hallquist, J.O. (1987) "Large-scale vectorized Implicit calculations in solid mechanics on a CRAY X-MP/48 utilizing EBE preconditioned conjugate gradients", Computer Methods in Applied Mechanics and Engineering, Vol. 61, pp. 215-248.
Fahrat C. e Crivelli L. (1987) "A general approach to nonlinear FE computations on shared memory multiprocessors', Center for Space Structures and controls, University of Colorado, Bouder, USA, Report CU-CSSC - 87-09.
Nour-Omid, B.; Raefsky, A. e Lyzenga, G. (1987) "Solving finite element equations on concurrent computers',Parallel Computations and Their Impact on Mechanics, Edt. by A.K. Noor, ASME, AMD-Vol. 86, pp. 209-228.
Winget, J.M. e Hughes, T.J.R. (1985) "Solution algorithms for nonlinear "transient heat conduction analysis employing element-by-element iterative strategies", Computer Methods in Applied Mechanics and Engineering, Vol. 52, pp. 711-815.
Coutinho, A.L.G.A.; Alves, J.L.D; Landau, L. e Ebecken, N.F.F. (1986) "Um procedimento elemento-por-elemento para a solução de grandes sistemas de equações do MEF pelo método dos gradientes conjugados", Proc. VII Congresso Latino-Americano Sobre Métodos Computacionais em Engenharia, São Carlos, SP, Vol. 1, pp. 243-258.
Coutinho, A.L.G.A.; Alves, J.L.D.; Landau, L.; Lima, E.C.P. e Ebecken, N.F.F. (1987) "On the application of an element-by-element Lanczos solver to large offshore structural engineering problems", Computer and Structures, Vol. 27, pp. 27-37.
Carey, G.F. e Jiang, B.N. (1986) "Element-by-element linear and nonlinear solution schemes", Communications in Applied Numerical Methods, Vol.2, 145-154.
Golub, G.H. e Van Loan, C.F. (1983)"Matrix computations", John Hopkins University Press, USA.
IBM VS FORTRAN Version 2 (1986)"Programming Guide", IBM Corporation SC26-4222-0.
Dubrulle, A.A., Scarborough, R.G. e Kolsky, H.G. (1985) "How to write good vectorizable FORTRAN", IBM Palo Alto Scientific Center, Report G320-3478.
Berger, P.; Brouaye, P.; e Syre, J. (1982) "A mesh coloring method for efficient MIMD processing in finite element problems", Proc. International Conference on Parallel Processing. Edts K.E. Batcher, W.C. Meilander e J.L. Potter, IEEE Computer Society Press, pp. 41-46.
Silvester, D.J. (1988) "Optimizing finite element matrix calculations using the general technique of element vectorization", Parallel Computing, Vol. 6, pp. 157-164.
Coutinho, A.L.G.A., Costa, A.M., Alves, J. L.D., Landau, L. e Ebecken, N.F.F. (1988) - "Pile driving simulation and analysis by the finite element method", 3rd International Conference on the Application of Stress-Wave Theory on Piles, Editor Blugt. H. Fllenius, Ottawa, Canada, pp.197-207.
Published
1988-09-26
How to Cite
COUTINHO, Álvaro L. G. et al.
Solução Iterativa de Sistemas de Equações do Método dos Elementos Finitos no Computador IBM 3090.
Proceedings of the International Symposium on Computer Architecture and High Performance Computing (SBAC-PAD), [S.l.], p. 243-248, sep. 1988.
ISSN 0000-0000.
Available at: <https://sol.sbc.org.br/index.php/sbac-pad/article/view/23545>. Date accessed: 18 may 2024.
doi: https://doi.org/10.5753/sbac-pad.1988.23545.
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