@Article{IJNAM-4-3-4,
author = {Lee, Hyung-Chun and Sung-Whan, Lee and Piao, Guang-Ri},
title = {Reduced-Order Modeling of Burgers Equations Based on Centroidal Voronoi Tessellation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2007},
volume = {4},
number = {3-4},
pages = {559--583},
abstract = {<p style="text-align: justify;">In this paper, we study a reduced-order modeling for Burgers
equations. Review of the CVT (centroidal Voronoi tessellation)
approaches to reduced-order bases are provided. In CVT-reduced order
modelling, we start with a snapshot set just as is done in a POD (Proper
Orthogonal Decomposition)-based setting. We shall investigate the
technique of CVT as a procedure to determine the basis elements for the
approximating subspaces. Some numerical experiments including comparison
of CVT-based algorithm with numerical results obtained from FEM (finite
element method) and POD-based algorithm are reported. Finally, we apply
CVT-based reduced order modeling technique to a feedback control problem
for Burgers equation.</p>},
issn = {2617-8710},
doi = {https://doi.org/2007-IJNAM-878},
url = {https://global-sci.com/article/83791/reduced-order-modeling-of-burgers-equations-based-on-centroidal-voronoi-tessellation}
}