Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation

被引：0
作者：
Hong Xia
Zhendong Luo
机构：
[1] North China Electric Power University,School of Control and Computer Engineering
[2] North China Electric Power University,School of Mathematics and Physics
来源：
Applied Mathematics and Mechanics | 2017年 / 38卷
关键词：
optimized finite difference iterative (OFDI) scheme; viscoelastic wave equation; proper orthogonal decomposition (POD); existence; stability; convergence; numerical simulation; O241; 65M60; 65N30; 65N15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：1721 / 1732
页数：11
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