Homogenization of random media

  1. The effective conductivity of arrays of squares: large random unit cells and extreme contrast ratios
    J. Comput. Phys., vol. 230(20), pp. 7533-7547, 2011. (link)

  2. The effective conductivity of random checkerboards
    J. Comput. Phys., vol. 230(4), pp. 1171-1181, 2011. (link)

  3. Fast and accurate numerical solution to an elastostatic problem involving ten thousand randomly oriented cracks
    Int. J. Fract., vol. 100(4), pp. 321-327, 1999. (link)

  4. On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites
    J. Mech. Phys. Solids, vol. 46(8), pp. 1441-1462, 1998. (link)
    [with Leslie Greengard]

  5. A high-order accurate algorithm for electrostatics of overlapping disks
    J. Stat. Phys., vol. 90(5/6), pp. 1461-1473, 1998. (link)

  6. Thin bridges in isotropic electrostatics
    J. Comput. Phys., vol. 127(1), pp. 142-151, 1996. (link)

  7. A numerical study of the zeta2 parameter for random suspensions of disks
    J. Appl. Phys., vol. 77(5), pp. 2015-2019, 1995. (link)
    [with Leslie Greengard]

  8. Fast and accurate calculations of structural parameters for suspensions
    Proc. Roy. Soc. Lond. A, vol. 445(1923), pp. 127-140, 1994. (link)