Hyea Hyun Kim

Vitae

I received my B.S. degree in Mathematics from POSTECH (Pohang University of Science and Technology), Pohang, Republic of Korea, in 1997 and M.S., and Ph. D. degrees in Applied Mathematics from KAIST (Korea Advanced Institute of Science and Technology), Daejeon, Republic of Korea, in 1999 and 2004, respectively. My thesis advisor was professor Chang-Ock Lee and the title is "Preconditioners for FETI-DP formulations with mortar methods." This study is applied to elliptic problems with highly discontinuous coefficients in both two and three spatial dimensions, and the Stokes problem in two dimensions. From March 2004 to August 2004, I was a post doctoral fellow at Division of Applied Mathematics in KAIST. Currently, I'm a postdoc in the Courant Institute and working with professor Olof B. Widlund.

Research Interest

My research interests include domain decomposition methods, scientific computing, and its application on computational fluid dynamics. I'm currently working on the FETI-DP (Dual-Primal FETI) methods for elasticity problems with mortar discretizations and the BDDC (Balancing Domain Decomposition with Constraints) methods for elliptic problems. If you are more interested in my research, see my research statement .

Journal Publications

1. "Two Level Schwarz algorithms, using overlapping subdomains, for mortar finite element methods ", with Olof B. Widlund, to appear in SIAM J. Numer. Anal. [Full Text]
2. "A Neumann-Dirichlet preconditioner for a FETI--DP formulation of the two-dimensional Stokes problem with mortar methods", with Chang-Ock Lee, SIAM J. Sci. Comput. (2006) Vol. 28 no. 3, pp 1133--1152. [Full Text]
3. "Preconditioners for the Dual-Primal FETI Methods on nonmatching grids: numerical study", with Yeon-Woo Chang and Chang-Ock Lee, Computers & Mathematics with Applications. (2006) Vol. 51 no. 5, pp 697--712. [Full Text]
4. "A preconditioner for the FETI--DP formulation with mortar methods in two dimensions ", with Chang-Ock Lee, SIAM J. Numer. Anal. (2005) Vol. 42 no. 5, pp 2159--2175. [Full Text]
5. "Meshless method for the stationary incompressible Navier-Stokes equations", Discrete and Continuous Dynamical Systems Series B, 1 (2001) no. 4, pp 495--526, with Hi Jun Choe, Do Wan Kim and Yongsik Kim. [Full Text]

Conference Papers and Presentations

1. "Domain Decomposition Algorithms for mortar discretizations", An invited talk to ``The 17th International Conference on Domain Decomposition Methods'' (July,2006), St. Wolfgang/Strobl, Austria. [Slide]
2. "Domain Decomposition Algorithms for mortar discretization", Numerical Analysis Seminar, Courant Institute (April,2006), New York. [Slide]
3. "BDDC and FETI-DP algorithms for mortar finite element methods", SIAM Conference on Parallel Processing for Scientific Computing (February,2006), San Francisco. [Slide]
4. "A FETI-DP formulation for the three dimensional elasticity problem with mortar methods", Sixteenth International Conference on Domain Decomposition Methods (January,2005), New York. [Slide]
5. "A FETI-DP formulation for the Stokes problem on nonmatching grids", Proceedings of Fifteenth International Conference on Domain Decomposition Methods (2003), with Chang-Ock Lee, Domain Decomposition Methods in Science and Engineering, Lecture Notes in Computational Science and Engineering (LNCSE), Vol. 40, Springer [Full Text]

Preprints

1. "A FETI--DP algorithm for elasticity problems with mortar discretization on geometrically non--conforming partitions", Submitted, 2006. [Full Text]
2. "A BDDC algorithm for mortar discretization of elasticity problems", Submitted, 2006. [Full Text]
3. "A BDDC algorithm for problems with mortar discretization", with Maksymilian Dryja and Olof B. Widlund, Submitted, 2005. [Full Text]
4. "A preconditioner for the FETI--DP formulation with mortar methods in three dimensions", Submitted, 2005. [Full Text]