TY - JOUR
T1 - Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics
AU - Li , Richen
AU - Wu , Qingbiao
AU - Zhu , Shengfeng
JO - Communications in Computational Physics
VL - 2
SP - 396
EP - 422
PY - 2021
DA - 2021/05
SN - 30
DO - http://doi.org/10.4208/cicp.OA-2020-0018
UR - https://global-sci.org/intro/article_detail/cicp/19119.html
KW - Isogeometric analysis, proper orthogonal decomposition, reduced order modelling,
elastic wave, generalized-$α$ method.
AB - <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>