Optimized finite difference iterative scheme based on POD te

发布时间：2021-12-27 20:27

　　This study develops an optimized finite difference iterative（OFDI） scheme for the two-dimensional（2D） viscoelastic wave equation. The OFDI scheme is obtained using a proper orthogonal decomposition（POD） method. It has sufficiently high accuracy with very few unknowns for the 2D viscoelastic wave equation. Existence, stability, and convergence of the OFDI solutions are analyzed. Numerical simulations verify efficiency and feasibility of the proposed scheme. 

【文章来源】：Applied Mathematics and Mechanics（English Edition）. 2017,38(12)EISCICSCD

【文章页数】：12 页

【参考文献】：
期刊论文
[1]Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations[J]. Zhendong LUO,Fei TENG.  Applied Mathematics and Mechanics（English Edition）. 2017(02)
[2]Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation[J]. Jing AN,Zhendong LUO,Hong LI,Ping SUN.  Frontiers of Mathematics in China. 2015(05)



本文编号：3552677