Year: 2021
Author: Richen Li, Qingbiao Wu, Shengfeng Zhu
Communications in Computational Physics, Vol. 30 (2021), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2020-0018
Communications in Computational Physics, Vol. 30 (2021), Iss. 2 : pp. 396–422
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Isogeometric analysis proper orthogonal decomposition reduced order modelling elastic wave generalized-$α$ method.
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