Research

My research interests are in Numerical Analysis. In particular, they focus on Generalized Finite Element Methods and Isogeometric Analysis. I am currently working on projects in fractures on plates and shells.


Refereed Publications:

  1. (with Hae-Soo Oh, Hyunju Kim) Enriched Isogeometric Analysis of Elliptic Boundary Value Problems in Domains with Cracks and/or Corners, submitted International Journal for Numerical Methods in Engineering
  2. (with Hae-Soo Oh, Sunbu Kang, Hyunju Kim) Mapping techniques for isogeometric analysis of elliptic boundary value problems containing singularities, Computer Methods in Applied Mechanics and Engineering, 254 (2013) 334-352
  3. (with Hae-Soo Oh, Christopher Davis) Meshfree particle methods for thin plates, Computer Methods in Applied Mechanics and Engineering, 209-212 (2012) 156-171
  4. (with Hae-Soo Oh, Won Tak Hong) The generalized product partition of unity for the meshless methods, Journal of Computational Physics, 229 (2010) 1600-1620
  5. (with Hae-Soo Oh) Almost everywhere partiton of unity to deal with essential boundary conditions in meshless methods, Computer Methods in Applied Mechanics and Engineering, 198 (2009) 3299-3312
  6. (with Hae-Soo Oh) Reproducing polynomial particle methods(RPPM) and adaptive meshfree particle methods for two-dimensional elliptic boundary value problems, Computer Methods in Applied Mechanics and Engineering, 198 (2009) 933-946
  7. (with Hae-Soo Oh, June G. Kim) The reproducing singularity particle shape functions for problems containing singularities, Computational Mechanics, 41 (2007) 135-157
  8. (with Hae-Soo Oh, June G. Kim) The smooth piecewise polynomial particle shape functions corresponding to patch-wise non-uniformly spaced particles for meshfree particle methods, Computational Mechanics, 40 (2007) 569-594
  9. (with Hae-Soo Oh, June G. Kim) The closed form reproducing polynomial particle shape functions for meshfree particle methods, Computer Methods in Applied Mechanics and Engineering, 196 (2007) 3435-3461
  10. Implementation of reproducing polynomial particle(RPP) shape functions in meshless particle methods for two-dimensional partial differential equations, Ph.D. dissertation, University of North Carolina at Charlotte, 2008