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Networks and Heterogeneous Media

2010, Volume 5, Issue 1: 1-29. doi: 10.3934/nhm.2010.5.1
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Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings

  • 1.
    Laboratoire J. L. Lions, Université Pierre et Marie Curie, Boî te courrier 187, F-75252 Paris
  • 2.
    Université Paris-Est, CERMICS, Ecole Nationale des Ponts et Chaussées, 6 et 8 avenue Blaise Pascal, 77455 Marne-la-Valléauthore Cedex 2
  • Received: 01 May 2009 Revised: 01 October 2009

  • 35B27, 35Q74, 34B15, 74Q05.

  • In quasi-periodic homogenization of elliptic equations or nonlinear periodic homogenization of systems, the cell problem must be in general set on the whole space. Numerically computing the homogenization coefficient therefore implies a truncation error, due to the fact that the problem is approximated on a bounded, large domain. We present here an approach that improves the rate of convergence of this approximation.

    Citation: Xavier Blanc, Claude Le Bris. Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings[J]. Networks and Heterogeneous Media, 2010, 5(1): 1-29. doi: 10.3934/nhm.2010.5.1

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