Area of Research:
 Numerical method for partial differential equations
 Finite element approximation
 Highorder absorbing boundary condition, PML method
 Wave propagation, scattering problems, acoustic and photonic resonances
Publications:

Wellposedness of the wave equation with complete radiation boundary conditions (in preparation)

Complete radiation boundary conditions for the Helmholtz equation II: domains with corners (in preparation)

Complete radiation boundary conditions for the Helmholtz equation I: waveguides (in preparation)

Analysis of the nonreflecting boundary condition for the timeharmonic electromagnetic wave propagation in waveguides
 J. Math. Anal. Appl. 453(1) (2017), 82103
 S. Kim
 preprint

Optimized double sweep Schwarz method by complete radiation boundary conditions
 Comput. Math. Appl. 72(6) (2016), 15731589
 S. Kim and H. Zhang
 preprint

Convergence of the supercell method for computation of defect modes
in onedimensional photonic crystals
 Appl. Math. Lett. 49 (2015), 159165
 S. Kim and T. Kwon
 preprint

Optimized Schwarz method with complete radiation transmission conditions
for the Helmholtz equation in waveguides
 SIAM J. Numer. Anal. 53(3) (2015), 15371558
 S. Kim and H. Zhang
 preprint

Cartesian PML approximation to resonances in open systems in R^2
 Appl. Numer. Math. 81 (2014), 5075
 S. Kim
 preprint

Suppression of the resonant scattering in imperfect acoustic cloaking with a lossy medium in R^3
 Chin. Phys. Lett. 31(5) (2014), 054301
 M. Li and S. Kim
 preprint

Analysis of an approximate cloaking for acoustic scattering problems in R^3
 Appl. Math. Comput. 232(1) (2014), 117131
 S. Kim
 preprint

Analysis of the convected Helmholtz equation with a uniform mean flow
in a waveguide with complete radiation boundary conditions
 J. Math. Anal. Appl. 410(1) (2014), 275291
 S. Kim
 preprint

Analysis of Imperfect Acoustic Cloaking Resonances
 Chin. Phys. Lett. 29(12) (2012), 124301
 S. Kim
 preprint

Analysis of a Cartesian PML approximation to acoustic scattering problems in R^2
 J. Math. Anal. Appl. 370(1) (2010), 168186
 S. Kim and J. E. Pasciak
 preprint

Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to
acoustic scattering problems
 J. Math. Anal. Appl. 361(2) (2010), 420430
 S. Kim and J. E. Pasciak
 preprint

The computation of resonances in open systems using a perfectly matched layer
 Math. Comp. 78 (2009), 13751398
 S. Kim and J. E. Pasciak
 preprint