Work in progress

Journal articles

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

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

  2. 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]

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

  4. 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]

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

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

  7. 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]

  8. 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]

  9. 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]

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

  11. 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 ]

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

  13. 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]

  14. 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 ]

  15. 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)

  16. 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)

  17. 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]

  18. 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 ]

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

  20. 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]

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

  22. 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]

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

  24. 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]

  25. 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 ,

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

  27. 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]

  28. 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]

  29. 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]

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

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

  32. 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]

  33. 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]

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

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

  36. 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]

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

  38. 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]

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

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

  41. 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)

  42. 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)

  43. 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]

  44. 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]

  45. 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]

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

  47. 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]

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

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

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

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

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

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

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

  55. 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]

  56. 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]

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

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

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

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

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

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

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

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

  65. 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]

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

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

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

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

  70. 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.

  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