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Efficient Solvers for 3-D Homogenized Elasticity Model

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Applied Parallel Computing. State of the Art in Scientific Computing (PARA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3732))

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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.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Augsburg, D-86159, Augsburg, Germany

    Ronald H. W. Hoppe & Svetozara I. Petrova

Authors
  1. Ronald H. W. Hoppe
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  2. Svetozara I. Petrova
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Editors and Affiliations

  1. Computer Science Department, University of Tennessee, 37996-3450, Knoxville, TN, USA

    Jack Dongarra

  2. Department of Informatics and Mathematical Modelling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Kaj Madsen

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2006 Springer-Verlag Berlin Heidelberg

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Hoppe, R.H.W., Petrova, S.I. (2006). 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. PARA 2004. Lecture Notes in Computer Science, vol 3732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558958_103

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  • DOI: https://doi.org/10.1007/11558958_103

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29067-4

  • Online ISBN: 978-3-540-33498-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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