@Article{CiCP-30-2,
author = {Richen, Li and Wu, Qingbiao and Zhu, Shengfeng},
title = {Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics},
journal = {Communications in Computational Physics},
year = {2021},
volume = {30},
number = {2},
pages = {396--422},
abstract = {<p style="text-align: justify;">We consider reduced order modelling of elastodynamics with proper orthogonal decomposition and isogeometric analysis, a recent novel and promising discretization method for partial differential equations. The generalized-$α$ method for
transient problems is used for additional flexibility in controlling high frequency dissipation. We propose a fully discrete scheme for the elastic wave equation with isogeometric analysis for spatial discretization, generalized-$α$ method for time discretization,
and proper orthogonal decomposition for model order reduction. Numerical convergence and dispersion are shown in detail to show the feasibility of the method. A variety of numerical examples in both 2D and 3D are provided to show the effectiveness
of our method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2020-0018},
url = {https://global-sci.com/article/79572/isogeometric-analysis-with-proper-orthogonal-decomposition-for-elastodynamics}
}