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Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F11%3A00182131" target="_blank" >RIV/68407700:21110/11:00182131 - isvavai.cz</a>

  • Result on the web

    <a href="http://parallel.bas.bg/Conferences/SciCom11.html" target="_blank" >http://parallel.bas.bg/Conferences/SciCom11.html</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials

  • Original language description

    In this contribution, we present a new approach to accelerating the convergence of a FFT-based solver for numerical homogenization of complex periodic media proposed by Moulinec and Suquet. The approach relies on discretization of the governing integralequation by the trigonometric collocation method due to Vainikko, resulting in a linear system which can be efficiently solved using conjugate gradient methods. Computational experiments presented below confirm robustness of the algorithm with respect tosetting of internal parameters and a significant increase of the convergence rate for problems with high-contrast coefficients at a negligible overhead cost per iteration.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    JI - Composite materials

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů