@Article{CiCP-30-396, author = {Li , RichenWu , 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2020-0018}, url = {http://global-sci.org/intro/article_detail/cicp/19119.html} }