The choice of representative volumes in the approximation of effective properties of random materials

@article{Fischer2018TheCO,
  title={The choice of representative volumes in the approximation of effective properties of random materials},
  author={J. Fischer},
  journal={arXiv: Analysis of PDEs},
  year={2018}
}
  • J. Fischer
  • Published 2018
  • Mathematics
  • arXiv: Analysis of PDEs
  • The effective large-scale properties of materials with random heterogeneities on a small scale are typically determined by the method of representative volumes: A sample of the random material is chosen - the representative volume - and its effective properties are computed by the cell formula. Intuitively, for a fixed sample size it should be possible to increase the accuracy of the method by choosing a material sample which captures the statistical properties of the material particularly well… CONTINUE READING

    Figures from this paper.

    Variance reduction for effective energies of random lattices in the Thomas-Fermi-von Weizsäcker model
    A priori error analysis of a numerical stochastic homogenization method
    • 2
    • PDF
    Quantitative normal approximation for sums of random variables with multilevel local dependence structure.
    • 2
    • PDF

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 95 REFERENCES
    Tensor-based numerical method for stochastic homogenisation
    • 1
    • PDF
    Construction of Statistically Similar Representative Volume Elements
    • 13
    Optimal artificial boundary condition for random elliptic media
    • 2
    • PDF
    The Structure of Fluctuations in Stochastic Homogenization
    • 39
    • Highly Influential
    • PDF
    Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations
    • 27
    • Highly Influential
    • PDF
    Effective multipoles in random media
    • 3
    • PDF
    The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations
    • 35
    • Highly Influential
    • PDF
    Normal approximation for the net flux through a random conductor
    • 12
    • Highly Influential
    • PDF