Helsing: all papers

Work in progress:

Papers in peer reviewed journals: Downloadable preprints and links to finalized papers at publisher's site.

  1. On the polarizability and capacitance of the cube
    Appl. Comput. Harmon. Anal. vol. 34(3), pp. 445-468, 2013. (link)
    [with Karl-Mikael Perfekt ]

  2. Spectral super-resolution in metamaterial composites
    New J. Phys. vol. 13(11), 115005, 2011. (link)
    [with Ross McPhedran and Graeme Milton]

  3. Features of the Nyström method for the Sherman-Lauricella equation on piecewise smooth contours
    EAJAM, vol. 1(4), pp. 403-414, 2011. (link)
    [with Victor Didenko ]

  4. 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)

  5. A fast and stable solver for singular integral equations on piecewise smooth curves
    SIAM J. Sci. Comput., vol. 33(1), pp. 153-174, 2011. (link)

  6. Stability of the Nyström method for the Sherman-Lauricella equation
    SIAM J. Numer. Anal., vol. 49(3), pp. 1127-1148, 2011. (link)
    [with Victor Didenko ]

  7. Fast reconstruction of harmonic functions from Cauchy data using the Dirichlet-to-Neumann map and integral equations
    Inverse Probl. Sci. Engn., vol. 19(5), pp. 717-727, 2011. (link)
    [with B. Tomas Johansson]

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

  9. Fast reconstruction of harmonic functions from Cauchy data using integral equation techniques
    Inverse Probl. Sci. Engn., vol. 18(3), pp. 381--399, 2010. (link)
    [with B. Tomas Johansson]

  10. Integral equation methods for elliptic problems with boundary conditions of mixed type
    J. Comput. Phys., vol. 228(23), pp. 8892-8907, 2009. (link)

  11. Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions
    Internat. J. Solids Structures, vol. 46(25/26), pp. 4437-4450, 2009. (link)
    [with Rikard Ojala]

  12. Faster convergence and higher accuracy for the Dirichlet-Neumann map
    J. Comput. Phys., vol. 228(7), pp. 2578-2586, 2009. (link)

  13. Corner singularities for elliptic problems: integral equations, graded meshes, quadrature, and compressed inverse preconditioning
    J. Comput. Phys., vol. 227(20), pp. 8820-8840, 2008. (link)
    [with Rikard Ojala]

  14. On the evaluation of layer potentials close to their sources
    J. Comput. Phys., vol. 227(5), pp. 2899-2921, 2008. (link)
    [with Rikard Ojala]

  15. Approximate inverse preconditioners for some large dense random electrostatic interaction matrices
    BIT Numer. Math., vol. 46(2), pp. 307-323, 2006. (link)

  16. Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method
    J. Comput. Phys., vol. 202(2), pp. 391-410, 2005. (link)
    [with Eddie Wadbro]

  17. A comparison of splittings and integral equation solvers for a nonseparable elliptic equation
    BIT Numer. Math., vol. 44(4), pp. 675-697, 2004. (link)
    [with Jonas Englund]

  18. A seventh order accurate and stable algorithm for the computation of stress inside cracked rectangular domains
    Internat. J. Multiscale Comput. Engrg., vol. 2(1), pp. 47-68, 2004. (link)
    [with Anders Jonsson]

  19. Stress computations on perforated polygonal domains
    Engrg. Anal. Boundary Elem., vol. 27(5), pp. 533-546, 2003. (link)
    [with Jonas Englund]

  20. Stress calculations on multiply connected domains
    J. Comput. Phys., vol. 176(2), pp. 456-482, 2002. (link)
    [with Anders Jonsson]

  21. On the computation of stress fields on polygonal domains with V-notches
    Internat. J. Numer. Methods Engrg., vol. 53(2), pp. 433-454, 2002. (link)
    [with Anders Jonsson]

  22. On the accuracy of benchmark tables and graphical results in the applied mechanics literature
    ASME J. Appl. Mech., vol. 69(1), pp. 88-90, 2002. (link)
    [with Anders Jonsson]

  23. Some computational aspects of iterated structures
    Composites B, vol. 32(6), pp. 485-490, 2001. (link)
    [with Johan Byström and Anette Meidell]

  24. Complex variable boundary integral equations for perforated infinite planes
    Engrg. Anal. Boundary Elem., vol. 25(3), pp. 191-202, 2001. (link)
    [with Anders Jonsson]

  25. Evaluation of stress intensity factors for a square crack in 3D
    Engn Fracture Mech., vol. 68(5), pp. 605-612, 2001. (link)
    [with Anders Jonsson and Gunnar Peters]

  26. On the interior stress problem for elastic bodies
    ASME J. Appl. Mech., vol. 67(4), pp. 658-662, 2000. (link)

  27. An efficient numerical algorithm for cracks partly in frictionless contact
    SIAM J. Appl. Math., vol. 61(2), pp. 551-566, 2000. (link)
    [with Gunnar Peters]

  28. Corner singularities for elliptic problems: special basis functions versus "brute force"
    Comm. Numer. Methods Engrg., vol. 16(1), pp. 37-46, 2000. (link)

  29. Stress intensity factors for a crack in front of an inclusion
    Engn Fracture Mech., vol. 64(2), pp. 245-253, 1999. (link)

  30. 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)

  31. On the numerical evaluation of stress intensity factors for an interface crack of a general shape
    Internat. J. Numer. Methods Engrg., vol. 44(5), pp. 729-741, 1999. (link)

  32. Integral equation methods and numerical solutions of crack and inclusion problems in planar elastostatics
    SIAM J. Appl. Math., vol. 59(3), pp. 965-982, 1999. (link)
    [with Gunnar Peters]

  33. Statistical simulation of diffusional coarsening in finite clusters
    Phys. Rev. E, vol. 58(2), pp. 2119-2130, 1998. (link)
    [with Hrishikesh Mandyam, Martin Glicksman, and Steven Marsh]

  34. 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]

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

  36. Duality relations, correspondences, and numerical results for planar elastic composites
    J. Mech. Phys. Solids, vol. 45(4), pp. 565-590, 1997. (link)
    [with Graeme Milton and Alexander Movchan]

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

  38. Poisson's ratio of fiber-reinforced composites
    J. Appl. Phys., vol. 79(10), pp. 7582-7585, 1996. (link)
    [with Henrik Christiansson]

  39. Electrostatics of anisotropic inclusions in anisotropic media
    J. Appl. Phys., vol. 78(4), 2498-2503, 1995. (link)
    [with Klas Samuelsson]

  40. A Nyström algorithm for electrostatics of an anisotropic composite
    J. Math. Phys., vol. 36(6), pp. 2941-2950, 1995. (link)

  41. An integral equation method for elastostatics of periodic composites
    J. Mech. Phys. Solids, vol. 43(6), pp. 815-828, 1995. (link)

  42. An integral equation method for electrostatics of anisotropic composites
    Proc. Roy. Soc. Lond. A, vol. 450(1939), pp. 343-350, 1995. (link)

  43. Estimating effective properties of composites from cross-sectional photographs
    J. Comput. Phys., vol. 117(2), pp. 281-288, 1995. (link)

  44. A numerical study of the zeta2 and eta2 parameters for a class of fiber reinforced composites
    J. Appl. Phys., vol. 77(9), pp. 4734-4738, 1995. (link)
    [with Henrik Christiansson]

  45. 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]

  46. Bounds on the shear modulus of composites by interface integral methods
    J. Mech. Phys. Solids, vol. 42(7), pp. 1123-1138, 1994. (link)

  47. Third-order bounds on the conductivity of a random stacking of cubes
    J. Math. Phys., vol. 35(4), pp. 1688-1692, 1994. (link)

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

  49. Improved bounds on the conductivity of composites by interpolation
    Proc. Roy. Soc. Lond. A, vol. 444(1921), pp. 363-374, 1994. (link)

  50. Higher-order bounds on the conductivity of composites from symmetry considerations
    Proc. Roy. Soc. Lond. A, vol. 443(1918), pp. 451-455, 1993. (link)

  51. Improved bounds on the conductivity of composites by translation in a variational principle
    J. Appl. Phys., vol. 74(8), pp. 5061-5063, 1993. (link)

  52. Bounds to the conductivity of some two-component composites
    J. Appl. Phys., vol. 73(3), pp. 1240-1245, 1993. (link)

  53. Transport properties of two-dimensional tilings with corners
    Phys. Rev. B, vol. 44(21), pp. 11677-11682, 1991. (link)

  54. Conduction in a two-phase plane with diamond shaped tiling
    J. Math. Phys., vol. 32(7), pp. 1958-1960, 1991. (link)
    [with Göran Grimvall and Ke-Da Bao]

  55. Thermal conductivity of cast iron: Models and analysis of experiments
    J. Appl. Phys., vol. 70(3), pp. 1198-1206, 1991. (link)
    [with Göran Grimvall]

  56. Effective conductivity of aggregates of anisotropic grains
    J. Appl. Phys., vol. 69(6), pp. 3583-3588, 1991. (link)
    [with Andreas Helte]

  57. Conductance fluctuations in weakly inhomogeneous finite-size random media
    Phys. Rev. B, vol. 42(7), pp. 4471-4476, 1990. (link)
    [with Jörgen Axell]

  58. Conductance in random inductance-capacitance networks
    Phys. Rev. B, vol. 41(16), pp. 11364-11367, 1990. (link)
    [with Göran Grimvall]

  59. Conduction in inhomogeneous materials: Hot and high-field spots
    Phys. Rev. B, vol. 39(13), pp. 9231-9235, 1989. (link)
    [with Jörgen Axell and Göran Grimvall]