Centroidal Voronoi tessellations: applications and algorithms;
SIAM Review, 41, 1999, 637-676; with Q. Du and
V. Faber.
(Alternative pdf link )
Model reduction by proper orthogonal decomposition coupled with centroidal
Voronoi tessellation;
Proc. Fluids Engineering Division Summer Meeting,
FEDSM2002-31051, ASME, 2002; with Q. Du.
Probabilistic algorithms for centroidal Voronoi tessellations and their
parallel implementation;
Parallel Comput., 28 2002, 1477-1500; with Q.
Du and L. Ju.
(Alternative pdf link)
Grid
generation and optimization based on centroidal Voronoi tessellations;
Appl. Math. Comput., 133 2002, 591-607; with
Q. Du.
(Alternative pdf link)
Meshfree,
probabilistic determination of point sets and support regions for meshless
methods;
Comp. Meth. Appl. Mech. Engrg., 191 2002,
1349-1366; with Q. Du and L. Ju.
(Alternative pdf link)
Centroidal Voronoi tessellation based proper orthogonal decomposition analysis;
in
Control and Estimation of Distributed Parameter Systems,
Birkhauser, Basel, 2003, 137-150; with Q. Du.
Constrained centroidal Voronoi tessellations for surfaces;
SIAM J. Sci. Comput., 24 2003, 1488-1506; with
Q. Du and L. Ju.
(Alternative pdf link)
Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the
sphere;
Comp. Meth. Appl. Mech. Engrg., 192 2003,
3933-3957; with Q. Du and L. Ju.
(Alternative pdf link)
Initial application and evaluation of a promising new sampling method for
response surface generation: Centroidal Voronoi tessellations; AIAA Paper
03-2008,
Proc. 44th AIAA/AME/ASCE/AHS/ASC Structures, Structural
Dynamics, and Materials Conference, AIAA, 2003; with J. Burkardt, K.
Krishnamurthy, J. Peterson, and V. Romero.
Initial
evaluation of centroidal Voronoi tessellation method for statistical sampling
and function integration; in
Fourth Internatioal Sumposium on Uncertainty Modeling and
Analysis, ISUMA 2003, 174-183; with J. Burkardt, J. Peterson, and V.
Romero.
(Alternative pdf link)
Reduced-order modeling of Navier-Stokes equations via centroidal Voronoi
tessellation; in
Recent Advances in Adaptive Computation, AMS,
Providence, 2004, 213-224; with H. Lee.
Centroidal
Voronoi tessellation algorithms for image compression and segmentation;
J. Math. Imag. Vision 24 2005,
DOI: 10.1007/s10851-005-3620-4; with Q. Du, L. Ju, and X. Wang.
(Alternative pdf link)
Centroidal Voronoi tessellation-based reduced-order modeling of complex systems
;
SIAM J. Sci. Comput. 28, 459 (2006); with J.
Burkardt and H.-C. Lee.
(Alternative pdf link)