TY - JOUR
T1 - Nonlinear Model Reduction Using Group Proper Orthogonal Decomposition
AU - Dickinson , B. T.
AU - Singler , J. R.
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 356
EP - 372
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/724.html
KW - Model reduction, proper orthogonal decomposition, group finite element, nonlinear.
AB - <p style="text-align: justify;">We propose a new method to reduce the cost of computing nonlinear terms in projection based reduced order models with global basis functions. We develop this method by extending ideas from the group finite element (GFE) method to proper orthogonal decomposition (POD) and call it the group POD method. Here, a scalar two-dimensional Burgers&#39; equation is used as a model problem for the group POD method. Numerical results show that group POD models of Burgers&#39; equation are as accurate and are computationally more efficient than standard POD models of Burgers&#39; equation.</p>