Work in progress

Journal articles

Downloadable (errata-corrected) e-prints and links to finalized papers at publisher's site.

  1. The spectra of harmonic layer potential operators on domains with rotationally symmetric conical points
    J. Math. Pures Appl., vol. 118, pp. 235-287, 2018. (link)
    [with Karl-Mikael Perfekt ]

  2. On integral equation methods for the first Dirichlet problem of the biharmonic and modified biharmonic equations
    SIAM J. Sci. Comput., vol. 40(4), pp. A2609-A2630, 2018. (link)
    [with Shidong Jiang]

  3. On a Helmholtz transmission problem in planar domains with corners
    J. Comput. Phys., vol. 371, pp. 315-332, 2018. (link)
    [with Anders Karlsson]

  4. Corner effects on the perturbation of an electric potential
    SIAM J. Appl. Math., vol. 78(3), pp. 1577-1601, 2018. (link)
    [with Doo Sung Choi and Mikyoung Lim]

  5. Resonances in axially symmetric dielectric objects
    IEEE Trans. Microw. Theory Tech., vol. 65(7), pp. 2214-2227, 2017. (link)
    [with Anders Karlsson]

  6. Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance
    Ann. I. H. Poincaré - AN, vol. 34(4), pp. 991-1011, 2017. (link)
    [with Hyeonbae Kang and Mikyoung Lim]

  7. Determination of normalized electric eigenfields in microwave cavities with sharp edges
    J. Comput. Phys., vol. 304, pp. 465-486, 2016. (link)
    [with Anders Karlsson]

  8. Determination of normalized magnetic eigenfields in microwave cavities
    IEEE Trans. Microw. Theory Tech., vol. 63(5), pp. 1457-1467, 2015. (link)
    [with Anders Karlsson]

  9. Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems
    Adv. Comput. Math., vol. 41(3), pp. 691-708, 2015. (link)
    [with Anders Holst]

  10. An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces
    J. Comput. Phys., vol. 272, pp. 686-703, 2014. (link)
    [with Anders Karlsson]

  11. An accurate boundary value problem solver applied to scattering from cylinders with corners
    IEEE Trans. Antennas Propag., vol. 61(7), pp. 3693-3700, 2013. (link)
    [with Anders Karlsson]

  12. Solving integral equations on piecewise smooth boundaries using the RCIP method: a tutorial
    Abstr. Appl. Anal., vol. 2013 , article ID 938167, 20 pp., 2013. (link)

  13. On the stability of the Nyström method for the Muskhelishvili equation on contours with corners
    SIAM J. Numer. Anal., vol. 51(3), pp. 1757-1776, 2013. (link)
    [with Victor Didenko ]

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

  15. Spectral super-resolution in metamaterial composites
    New J. Phys., vol. 13(11), 115005, 2011. (Animation 1), (Animation 2), (link)
    [with Ross McPhedran and Graeme Milton]

  16. Features of the Nyström method for the Sherman-Lauricella equation on piecewise smooth contours
    East Asian J. Applied Math., vol. 1(4), pp. 403-414, 2011. (link)
    [with Victor Didenko ]

  17. 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)

  18. 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)

  19. 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]

  20. 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 ]

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

  22. 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]

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

  24. 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]

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

  26. 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]

  27. On the evaluation of layer potentials close to their sources
    J. Comput. Phys., vol. 227(5), pp. 2899-2921, 2008. (link)
    [with Rikard Ojala]
    A MATLAB code which produces (an improved version of) Figure 3 is here: diridemo1.m , diridemo1.txt .

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

  29. 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 ]

  30. 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]

  31. 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]

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

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

  34. 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]

  35. 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]

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

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

  38. 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]

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

  40. 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]

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

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

  43. 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)

  44. 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)

  45. 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]

  46. 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]

  47. 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]

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

  49. 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 AlexanderMovchan]

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

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

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

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

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

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

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

  57. A numerical study of the ζ2 and η2 structural parameters for a class of fiber reinforced composites
    J. Appl. Phys., vol. 77(9), pp. 4734-4738, 1995. (link)
    [with Henrik Christiansson]

  58. A numerical study of the ζ2 parameter for random suspensions of disks
    J. Appl. Phys., vol. 77(5), pp. 2015-2019, 1995. (link)
    [with Leslie Greengard]

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

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

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

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

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

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

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

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

  67. 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]

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

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

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

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

  72. 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]

Papers/abstracts in conference proceedings and book contributions

  1. Approximate solution of boundary integral equations for biharmonic problems in non-smooth domains
    Proc. Appl. Math. Mech., vol. 13(1), pp. 435-438, 2013. (link)
    [with Victor Didenko ]

  2. An accurate near-field solver for scattering from cylinders with corners
    Proceedings of 2013 URSI International Symposium on Electromagnetic Theory (EMTS), pp. 49-52, Hiroshima, Japan, May 20-24, 2013. (link)
    [with Anders Karlsson]

  3. Resonances and Fields near Metamaterial Inclusions
    IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, Chicago July 8-14, 2012. (link)
    [with Ross McPhedran and Graeme Milton]

  4. Metamaterial composites and super-resolution
    Proceedings of Metamaterials 2011: The Fifth International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, Barcelona, Spain, 2011.
    [with Ross McPhedran and Graeme Milton]

  5. Features of the Nyström Method for the Sherman-Lauricella Equation on Piecewise Smooth Contours
    Proceedings of the 7th East Asia SIAM Conference & RIMS Workshop on Methods in Industrial and Applied Mathematics, pp. 50-51, Waseda University, Japan, 2011. (link )
    [with Victor Didenko ]

  6. Fast and stable reconstruction of harmonic functions from Cauchy Data using integral equation methods
    Abstracts of the Fifth International Conference "Inverse Problems: Modelling and Simulation", pp. 108-109, Antalya, Turkey, 2010.
    [with B. Tomas Johansson]

  7. Numerical and mathematical methods for calculation of effective properties of multiphase materials
    Proceedings of the ICCE/4, vol. 4, pp. 1031-1032, (Ed: David Hui), Hawaii, 1997.
    [with Lars-Erik Persson and Peter Wall]

  8. Electrostatics of thin bridges
    in Mathematics is for solving problems, A volume in honor of Julian D. Cole on his 70th birthday
    (Ed: L. Pamela Cook, Victor Roytburd, and Marshall Tulin), SIAM, Philadelphia, 1996. (link)

  9. Joule heat distribution in inhomogeneous materials
    Physica A, vol. 157(1), pp. 618-618, 1989. (link)
    [with Jörgen Axell and Göran Grimvall]

Supervised papers

  1. A robust and accurate solver of Laplace's equation with general boundary conditions on general domains in the plane
    J. Comp. Math., vol. 30(4), pp. 433-448, 2012. (Animation), (link)
    [by Rikard Ojala]

  2. A higher order scheme for two-dimensional quasi-static crack growth simulations
    Comp. Meth. Appl. Mech. Engrg., vol. 196(21-24), pp. 2527-2538, 2007. (Animation) , (link)
    [by Jonas Englund]

  3. A Nyström scheme with rational quadrature applied to edge crack problems
    Comm. Numer. Methods Engrg., vol. 23(10), pp. 945-960, 2007. (link)
    [by Jonas Englund]

  4. Efficient algorithm for edge cracked geometries
    Internat. J. Numer. Methods Engrg., vol. 66(11), pp. 1791-1816, 2006. (link)
    [by Jonas Englund]

  5. Stable algorithm for the stress field around a multiply branched crack
    Internat. J. Numer. Methods Engrg., vol. 63(6), pp. 926-946, 2005. (link)
    [by Jonas Englund]

  6. Fast, accurate, and stable algorithm for the stress field around a zig-zag-shaped crack
    Engrg. Fracture Mech., vol. 70(2), pp. 355-364, 2003. (link)
    [by Jonas Englund]

  7. Large scale computations for cracks with corners
    in Advances in Boundary Element Techniques, BeTeQ IV, (Ed: R. Gallego and M. H. Aliabadi)
    Queen Mary University of London, 2003; pp. 71-76
    [by Jonas Englund]

  8. Discrete dislocation dynamics by an O(N) algorithm
    Comput. Mater. Sci., vol. 27(3), pp. 271-288, 2003. (link)
    [by Anders Jonsson]

  9. Hall effect in two-dimensional composites
    Phys. Rev. B, vol. 56(2), pp. 572-578, 1997. (link)
    [by Henrik Christiansson]

Working papers

  1. A higher-order singularity subtraction technique for the discretization of singular operators on curved surfaces
    (link to arXiv)

  2. Hermite interpolation outperforms Nyström interpolation