Preprints

  1. V. C. Le, V. Giunzioni, P. Cordel, F. P. Andriulli, and K. Cools. On the late-time instability of the solution to the time-domain PMCHWT equation. preprint, 2025
  2. V. C. Le and K. Cools. Boundary element methods for the magnetic field integral equation on polyhedra. preprint, 2024 (arXiv)

Journal publications

  1. Q. H. Nguyen, V. C. Le, P. C. Hoang, and T. T. M. Ta. A fitted space-time finite element method for an advection-diffusion problem with moving interfaces. Appl. Numer. Math., 211: 61-77, 2025 (DOI)
  2. V. C. Le and K. Cools. An operator preconditioned combined field integral equation for electromagnetic scattering. SIAM J. Numer. Anal., 62(6): 2484-2505, 2024 (DOI)
  3. V. C. Le, M. Slodička, and K. Van Bockstal. A numerical scheme for solving an induction heating problem with moving non-magnetic conductor. Comput. Math. Appl. (invited paper), 171:60-81, 2024 (DOI)
  4. V. C. Le, P. Cordel, F. P. Andriulli, and K. Cools. A stabilized time-domain combined field integral equation using the quasi-Helmholtz projectors. IEEE Trans. Antennas Propag. (invited paper), 72(7):5852-5864, 2024 (DOI)
  5. V. C. Le, M. Slodička, and K. Van Bockstal. A space-time discretization for an electromagnetic problem with moving non-magnetic conductor. Appl. Numer. Math., 173:345-364, 2022 (DOI)
  6. V. C. Le, M. Slodička, and K. Van Bockstal. Existence of a weak solution to a nonlinear induction hardening problem with Leblond-Devaux model for a steel workpiece. Commun. Nonlinear Sci. Numer. Simul., 107:106156, 2022 (DOI)
  7. V. C. Le, M. Slodička, and K. Van Bockstal. A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body. Appl. Math. Lett., 124:107660, 2022 (DOI)
  8. V. C. Le and T.T.M. Ta. Constrained shape optimization problem in elastic mechanics. Comput. Appl. Math., 40:240, 2021 (DOI)
  9. V. C. Le, M. Slodička, and K. Van Bockstal. A time discrete scheme for an electromagnetic contact problem with moving conductor. Appl. Math. Comput., 404:125997, 2021 (DOI)
  10. V. C. Le, M. Slodička, and K. Van Bockstal. Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor. Comput. Math. Appl., 87:27-40, 2021 (DOI)
  11. T. T. M. Ta, V. C. Le, and H. T. Pham. Shape optimization for stokes flows using sensitivity analysis and finite element method. Appl. Numer. Math., 126:160-179, 2018 (DOI)

Conference proceedings

  1. V. C. Le, F. P. Andriulli, and K. Cools. A DC stable, well-conditioned and low-frequency regularized time-domain PMCHWT equation, in Proc. IEEE AP-S/URSI,, 2024 (DOI)
  2. V. C. Le, P. Cordel, F. P. Andriulli, and K. Cools. A Yukawa-Calderón time-domain combined field integral equation for electromagnetic scattering, in Proc. ICEAA, 2023 (DOI)
  3. P. Cordel, V. C. Le, A. Merlini, K. Cools, and F. P. Andriulli. On a time domain Calderón preconditioned CFIE discretized with convolution quadratures, in Proc. IEEE AP-S/URSI, 2023 (DOI)