Area of Research:

Publications:

  1. Well-posedness of the wave equation with complete radiation boundary conditions (in preparation)
  2. Complete radiation boundary conditions for the Helmholtz equation II: domains with corners (in preparation)
  3. Complete radiation boundary conditions for the Helmholtz equation I: waveguides (in preparation)
  4. Analysis of the non-reflecting boundary condition for the time-harmonic electromagnetic wave propagation in waveguides
  5. Optimized double sweep Schwarz method by complete radiation boundary conditions
  6. Convergence of the supercell method for computation of defect modes in one-dimensional photonic crystals
  7. Optimized Schwarz method with complete radiation transmission conditions for the Helmholtz equation in waveguides
  8. Cartesian PML approximation to resonances in open systems in R^2
  9. Suppression of the resonant scattering in imperfect acoustic cloaking with a lossy medium in R^3
  10. Analysis of an approximate cloaking for acoustic scattering problems in R^3
  11. Analysis of the convected Helmholtz equation with a uniform mean flow in a waveguide with complete radiation boundary conditions
  12. Analysis of Imperfect Acoustic Cloaking Resonances
  13. Analysis of a Cartesian PML approximation to acoustic scattering problems in R^2
  14. Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to acoustic scattering problems
  15. The computation of resonances in open systems using a perfectly matched layer