Efficient Solvers for 3-D Homogenized Elasticity Model
R.H.W. Hoppe, S. Petrova, in: J. Dongarra, K. Madsen, J. Waśniewski (Eds.), Applied Parallel Computing. State of the Art in Scientific Computing, Springer, Berlin, Heidelberg, 2006, pp. 857–863.
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Konferenzbeitrag
| Veröffentlicht
| Englisch
Autor*in
Hoppe, Ronald H. W.;
Petrova, Svetozara
Herausgeber*in
Dongarra, Jack;
Madsen, Kaj;
Waśniewski, Jerzy
Abstract
The optimization of the macroscopic behavior of microstructured materials using microscopic quantities as design variables is a well established discipline in materials science. The paper deals with recently produced microcellular biomorphic ceramics. The mechanical macromodel corresponding to these composite materials is obtained by homogenization. The homogenized elasticity tensor and its dependence on the design variables are computed numerically involving adaptive finite element approximations of elasticity problems in the 3-D periodicity cell. Efficient iterative solvers based on incomplete Cholesky (IC) decomposition and algebraic multigrid method (AMG) as preconditioners of the stiffness matrix are proposed in the application of PCG method.
Erscheinungsjahr
Titel des Konferenzbandes
Applied Parallel Computing. State of the Art in Scientific Computing
Seite
857-863
Konferenz
Applied Parallel Computing. State of the Art in Scientific Computing PARA
Konferenzort
Umeå, Schweden
Konferenzdatum
2006-06-18 – 2006-06-21
ISBN
ISSN
eISSN
FH-PUB-ID
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Hoppe, Ronald H. W. ; Petrova, Svetozara: Efficient Solvers for 3-D Homogenized Elasticity Model. In: Dongarra, J. ; Madsen, K. ; Waśniewski, J. (Hrsg.): Applied Parallel Computing. State of the Art in Scientific Computing, Lecture Notes in Computer Science. Berlin, Heidelberg : Springer, 2006, S. 857–863
Hoppe RHW, Petrova S. Efficient Solvers for 3-D Homogenized Elasticity Model. In: Dongarra J, Madsen K, Waśniewski J, eds. Applied Parallel Computing. State of the Art in Scientific Computing. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer; 2006:857-863. doi:10.1007/11558958_103
Hoppe, R. H. W., & Petrova, S. (2006). Efficient Solvers for 3-D Homogenized Elasticity Model. In J. Dongarra, K. Madsen, & J. Waśniewski (Eds.), Applied Parallel Computing. State of the Art in Scientific Computing (pp. 857–863). Berlin, Heidelberg: Springer. https://doi.org/10.1007/11558958_103
@inproceedings{Hoppe_Petrova_2006, place={Berlin, Heidelberg}, series={Lecture Notes in Computer Science}, title={Efficient Solvers for 3-D Homogenized Elasticity Model}, DOI={10.1007/11558958_103}, booktitle={Applied Parallel Computing. State of the Art in Scientific Computing}, publisher={Springer}, author={Hoppe, Ronald H. W. and Petrova, Svetozara}, editor={Dongarra, Jack and Madsen, Kaj and Waśniewski, JerzyEditors}, year={2006}, pages={857–863}, collection={Lecture Notes in Computer Science} }
Hoppe, Ronald H. W., and Svetozara Petrova. “Efficient Solvers for 3-D Homogenized Elasticity Model.” In Applied Parallel Computing. State of the Art in Scientific Computing, edited by Jack Dongarra, Kaj Madsen, and Jerzy Waśniewski, 857–63. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer, 2006. https://doi.org/10.1007/11558958_103.
R. H. W. Hoppe and S. Petrova, “Efficient Solvers for 3-D Homogenized Elasticity Model,” in Applied Parallel Computing. State of the Art in Scientific Computing, Umeå, Schweden, 2006, pp. 857–863.
Hoppe, Ronald H. W., and Svetozara Petrova. “Efficient Solvers for 3-D Homogenized Elasticity Model.” Applied Parallel Computing. State of the Art in Scientific Computing, edited by Jack Dongarra et al., Springer, 2006, pp. 857–63, doi:10.1007/11558958_103.
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