Artículo
Jouglard, C.E.; Coutinho, A.L.G.A. "A comparison of iterative multi-level finite element solvers" (1998) Computers and Structures. 69(5):655-670
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Abstract:
A comparison is made of two iterative algorithms: Preconditioned Conjugate Gradients (PCG) and Multigrid methods (MG), applying them to a series of test problems of plane elasticity. These problems are discretized by multilevel finite element meshes, that is, a coarse mesh whose elements are successively refined to obtain a fine mesh. In particular, uniform refinement was adopted in conjunction with triangular finite element discretizations, to obtain the hierarchy of meshes needed by the multilevel algorithms. A numerical analysis is made of convergence criteria based on the energy variation of the incremental correction to the solution through the iterative process, which seems to be a more convenient choice to the usual criteria based on the norm of the residual. Performance comparisons are made using diagonal and hierarchical preconditioners, and in all the examples tested the hierarchical PCG is found to be faster than the multigrid solvers. © 1998 Elsevier Science Ltd. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | A comparison of iterative multi-level finite element solvers |
| Autor: | Jouglard, C.E.; Coutinho, A.L.G.A. |
| Filiación: | Lab. de Mecánica Compl., Departamento de Física, Universidad de Buenos Aires, Paseo Colón 850, 1063, Buenos Aires, Argentina Department of Civil Engineering, COPPE/Fed. Univ. of Rio de Janeiro, P.O.Box 68506, Río de Janeiro, RJ 21945-970, Brazil |
| Palabras clave: | Algorithms; Computational geometry; Computer simulation; Convergence of numerical methods; Elasticity; Finite element method; Iterative methods; Multigrid methods; Preconditioned conjugate gradients (PCG); Structural analysis |
| Año: | 1998 |
| Volumen: | 69 |
| Número: | 5 |
| Página de inicio: | 655 |
| Página de fin: | 670 |
| DOI: | http://dx.doi.org/10.1016/S0045-7949(98)00123-0 |
| Título revista: | Computers and Structures |
| Título revista abreviado: | Comput Struct |
| ISSN: | 00457949 |
| CODEN: | CMSTC |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00457949_v69_n5_p655_Jouglard |
Referencias:
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Citas:
---------- APA ----------
Jouglard, C.E. & Coutinho, A.L.G.A. (1998) . A comparison of iterative multi-level finite element solvers. Computers and Structures, 69(5), 655-670.http://dx.doi.org/10.1016/S0045-7949(98)00123-0
---------- CHICAGO ----------
Jouglard, C.E., Coutinho, A.L.G.A. "A comparison of iterative multi-level finite element solvers" . Computers and Structures 69, no. 5 (1998) : 655-670.http://dx.doi.org/10.1016/S0045-7949(98)00123-0
---------- MLA ----------
Jouglard, C.E., Coutinho, A.L.G.A. "A comparison of iterative multi-level finite element solvers" . Computers and Structures, vol. 69, no. 5, 1998, pp. 655-670.http://dx.doi.org/10.1016/S0045-7949(98)00123-0
---------- VANCOUVER ----------
Jouglard, C.E., Coutinho, A.L.G.A. A comparison of iterative multi-level finite element solvers. Comput Struct. 1998;69(5):655-670.http://dx.doi.org/10.1016/S0045-7949(98)00123-0
