Fast Spectral

  • Accelerated Galerkin BEM for 3D potential theory S. Nintcheu Fata
  • A Fast Spectral Galerkin method for hypersingular integral equations S. Nintcheu Fata, L. J. Gray and T. Kaplan
  • An accelerated surface discretization-based BEM approach for non-homogeneous linear problems in 3D complex domains J. Ding, W. Ye and L. J. Gray

    Singular Integration

  • Direct evaluation of hypersingular Galerkin surface integrals L.J. Gray, J. Glaeser and T. Kaplan
  • Boundary integral evaluation of surface derivatives L.J. Gray, A.-V. Phan and T. Kaplan
  • Evaluation of supersingular integrals: second order boundary derivatives M. N. Moore, L.J. Gray and T. Kaplan
  • Direct evaluation of hypersingular Galerkin surface integrals II L.J. Gray, A. Salvadori, A.-V. Phan and V. Mantic

    Moving Boundary

  • On a Hermite boundary integral approximation L.J. Gray and M. Garzon
  • A coupled Level-Set boundary integral method for moving boundary simulations M. Garzon, D. Adalsteinsson, L. J. Gray and J. A Sethian
  • Galerkin boundary integral analysis for the axisymmetric Laplace equation L. J. Gray, M. Garzon, V. Mantic and E. Graciani
  • Iterative solution of Hermite boundary integral equations L. J. Gray, S. Nintcheu Fata and D. Ma

    Functionally Graded Materials

  • Green's function for a two-dimensional exponentially graded elastic medium Y.-S. Chan, L.J. Gray, T. Kaplan and G. H. Paulino
  • Green's function evaluation for three-dimensional graded elasticity R. Criado, L. J. Gray, V. Mantic, and F. Paris
  • Boundary element analysis of three-dimensional exponentially graded isotropic elastic solids R. Criado, J. E. Ortiz, V. Mantic, L.J. Gray, and F. Paris
  • On the efficiency of generic BE substructuring algorithms based upon Krylov solvers F. C. Araujo and L.J. Gray
  • Fundamental solutions for steady-state heat transfer in an exponentially graded anisotropic material J. R. Berger, P. A. Martin, V. Mantic and L.J. Gray
  • On hypersingular surface integrals in the symmetric-Galerkin boundary element method: Application to heat conduction in exponentially graded materials A. Sutradhar, G. H. Paulino and L.J. Gray
  • Gradient elasticity theory for Mode III fracture in functionally graded materials - Part II: Crack parallel to the material gradation Y.-S. Chan, G. H. Paulino and A. C. Fannjiang
  • Change of constitutive relations due to interaction between strain-gradient effect and material gradation Y.-S. Chan, G. H. Paulino and A. C. Fannjiang

    Fracture

  • Modeling of crack growth through particulate clusters in brittle matrix SGBEM R. Kitey, A.-V. Phan, H. V. Tippur, and T. Kaplan
  • SGBEM analysis of crack-particle interations due to elastic constant mismatch R. C. Williams, A.-V. Phan, H. V. Tippur, T. Kaplan and L. J. Gray
  • On some benchmark results for the interaction of a crack with a circular inclusion A.-V. Phan, L. J. Gray and T. Kaplan
  • Molecular dynamics simulations of crack propagation in Ni with defects M. Karimi, T. Roarty and and T. Kaplan
  • Analytic integrations and SIF computation in 2D fracture mechanics A. Salvadori and L. J. Gray

    Silicon recrystallization

  • Interfacial roughening during solid phase epitaxy: interaction of dopant, stress, and anisotropy effects Barvosa-Carter, M. J. Aziz, A.-V. Phan, T. Kaplan, and L. J. Gray
  • On the residue calculus evaluation of the 3D anisotropic Green's function A.-V. Phan, T. Kaplan, and L. J. Gray
  • Residue approach for evaluating the 3D anisotropic Green's function: Multiple roots A.-V. Phan, T. Kaplan, and L. J. Gray

    Inverse Problems

  • Elastic scatterer reconstruction via the regularized sampling method S. Nintcheu Fata and B. B. Guzina
  • A linear sampling method for near-field inverse problems in elastodynamics S. Nintcheu Fata and B. B. Guzina