The high order control volume discontinuous Petrov-Galerkin finite element method for the hyperbolic conservation laws based on Lax-Wendroff time discretization

被引：1
|
作者：
Zhao, Guozhong [1 ]
Yu, Xijun [2 ]
机构：
[1] Baotou Teachers Coll, Fac Math, Baotou 014030, Peoples R China
[2] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 252卷
基金：
中国国家自然科学基金;
关键词：
Hyperbolic conservation laws; Control volume discontinuous finite element method; Lax-Wendroff time discretization; WENO SCHEMES; SYSTEMS;
D O I：
10.1016/j.amc.2014.12.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we constructed a high order control volume discontinuous finite element method for both scalar and systems of hyperbolic conservation laws based on Lax-Wendroff time discretization. The method combines advantages of both control volume discontinuous finite element methods and Lax-Wendroff time discretization. The method can preserve local conservation. It is high order and high resolution. The limiter is only used once in each temporal discretization step. Several numerical examples are used to demonstrate the accuracy and high resolution of the method. (c) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：175 / 188
页数：14
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