Year: 2010
Author: B. T. Dickinson, J. R. Singler
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 2 : pp. 356–372
Abstract
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' equation is used as a model problem for the group POD method. Numerical results show that group POD models of Burgers' equation are as accurate and are computationally more efficient than standard POD models of Burgers' equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-IJNAM-724
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 2 : pp. 356–372
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Model reduction proper orthogonal decomposition group finite element nonlinear.