Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system

被引:5
|
作者
Lukacova-Medvid'ova, M.
Warnecke, G.
Zahaykah, Y.
机构
[1] Univ Magdeburg, Inst Anal & Numer, D-39106 Magdeburg, Germany
[2] TU Hamburg Harburg, Arbeitsbereich Math, D-21073 Hamburg, Germany
[3] Al Quds Univ, Dept Math, Jerusalem, Israel
关键词
hyperbolic systems; wave equation; evolution galerkin schemes; recovery stage; finite volume;
D O I
10.1016/j.apnum.2006.09.011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The subject of the paper is the derivation of finite volume evolution Galerkin schemes for the three-dimensional wave equation system. The aim is to construct methods which take into account all of the infinitely many directions of propagation of bicharacteristics. The idea is to evolve the initial function using the characteristic cone and then to project onto a finite element space. Numerical experiments are presented to demonstrate the accuracy and the multidimensional behaviour of the solutions. Moreover, we construct further new EG schemes by neglecting the so-called source term, i.e. we mimic Kirchhoff's formula. The numerical test shows that such schemes are more accurate and some of them are of second order. (C) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:1050 / 1064
页数:15
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