文章基本信息

标题：Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation
本地全文：下载
作者：Dojin Kim
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：464
DOI：10.1186/s13662-018-1919-x
语种：English
出版社：Hindawi Publishing Corporation
摘要：We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R 2 $\mathbb{R}^,$ . In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (LDG) method. Also, we study an a priori L 2 $L^,$ -norm error estimate for the semi-discretized LDG method for the system under additional regularity assumptions. Further, numerical tests are presented to support the theoretical analysis.
关键词：Local discontinuous Galerkin method ; Damped acoustic wave equation ; A-priori error estimates