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

First published in
Preprints des Institutes für Mathematik;Bericht 80
Preprints des Institutes für Mathematik 
Number in series
80
Citation
Preprint. Published in: Applied Numerical MathematicsVolume 57, Issue 9, September 2007, Pages 1050-1064
Publisher DOI
10.1016/j.apnum.2006.09.011
Scopus ID
2-s2.0-34347258097
The subject of the paper is the derivation of finite volume evolution Galerkin schemes for 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.
Schlagworte
Hyperbolic systems
wave equation
evolution Galerkin schemes
recovery stage
finite volume
DDC Class
510: Mathematik