Hongkai Zhao


Professor, Mathematics
School of Physical Sciences

Ph.D., University of California, Los Angeles, 1996

Phone: (949) 824-5420
Fax: (949) 824-7993
Email: zhao@math.uci.edu

University of California, Irvine
Department of Mathematics
Rowland Hall 510D
Mail Code: 3875
Irvine, CA 92697
Research Interests
The Level Set Method, Moving Interface and Free Boundary, Image Processing and Computer Graphics, Time Reversal and Wave Propagation, Domain Decomposition
URL
Academic Distinctions
Alfred Sloan Research Fellowship (2002).
Outstanding Contributions to Undergraduate Education Award, UC Irvine (2002).
UC Irvine Faculty Career Development Award (2000).
Appointments
2003-present: Associate Professor, Department of Mathematics, University of California, Irvine.
1999-2003: Assistant Professor, Department of Mathematics, University of California, Irvine.
1996-1998: Gabor Szego Assistant Professor, Department of Mathematics, Stanford University.
Research Abstract
Applied mathematics and scientific computing with applications to sciences and engineering.
Publications
Patents:

US Patent (7,031,538) "Method and apparatus for feature based quantization and compression of data", L.T. Cheng, B. Merriman, S. Osher, H. Zhao, and H. Zhou.

US Patent (7,027,658) "Geometrically accurate compression and decompression", S. Osher and H. Zhao.
 
(with P. Blomgen and G. Papanicolaou) "Super-resolution in time reversal acoustics". Journal of the Acoustical Society of America, Vol.111 (2002), pp 230-248.
 
(with J. K. Hunter and Z. Li) "Reactive autophobic spreading of drops". To appear in J. Comp. Phys.
 
(with S. Osher and R. Fedkiw) "Fast surface reconstruction and deformation using the level set method". Proceedings of IEEE Workshop on Variational and Level Set Methods in Computer Vision (VLSM), July 2001, Vancouver.
 
(with B. Merriman, S. Osher, and M. Kang)"Implicit and non-parametric shape reconstruction from unorganized points using variational level set method". Computer Vision and Image Understanding, Vol.80 (2000), pp 295-319.
 
(with Z. Li and H. Gao) "A numerical study of surface diffusion generated electro-migration voiding problem". J. Comp. Phys. Vol.152 (1999), pp 281-304.
 
(with B. Merriman, S. Osher and L. Wang) "Capturing the behavior of bubbles and drops using the variational level set approach". J. Comp. Phys. Vol.143 (1998), pp 495-518.
 
(with D. Peng, B. Merriman, S. Osher and M. Kang) "A PDE based fast local level set method". J. Comp. Phys. Vol.155 91999), pp 410-438.
 
(with B. Engquist) "Absorbing boundary conditions for domain decomposition", Applied Numerical Mathematics, Vol.27 (1998), pp 341-365.
 
(with T. Y. Hou, Z. Li and S. Osher) "A hybrid method for moving interface problems with application to the Hele-Shaw Flow". J. Comp. Phys. Vol.134 (1997), pp 236-252.
 
(with T. F. Chan, B. Merriman, and S. Osher) "A Variational Level Set Approach to Multiphase Motion". J. Comp. Phys. Vol. 127 (1996), pp 179-195.
Grant
Sloan Foundation, National Science Foundation NSF), The Office of Naval Research (ONR), The Defense Advanced Research Projects Agency (DARPA), MURI (Army Research Office)
Professional Societies
Society for Applied and Industrial Mathematics (SIAM)
American Mathematical Society (AMS)
Last updated
06/16/2010