Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system

Journal of Numerical Mathematics

Volumn 11, Issue 3, 2003, Pages 235-251

  Lukacova Medvidova, M ^a,b   Warnecke, G ^a   Zahaykah, Y ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

^b HAMBURG UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Evolution Galerkin schemes; Finite volume; Hyperbolic systems; Recovery stage; Wave equation

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; FINITE VOLUME METHOD; MATRIX ALGEBRA; POLYNOMIAL APPROXIMATION; VECTORS; WAVE EQUATIONS;

HYPERBOLIC SYSTEMS; TRUNCATION ERRORS;

GALERKIN METHODS;

EID: 0242720677     PISSN: 15702820     EISSN: None     Source Type: Journal    
DOI: 10.1163/156939503322553108     Document Type: Article

References (14)

1. R. A. Adams, Sobolev Spaces. Academic Press, New York-San Francisco-London, 1975.
2. J.Li, M. Lukáčová-Medvidová, and G. Warnecke, Evolution Galerkin schemes for the two-dimensional Riemann problems. Discrete Cont. Dynam. Syst. (A) (2003) 9, No. 3, 559-576.
3. M. Lukáčová-Medvidová, K. W. Morton, and G.Warnecke, Finite volume evolution Galerkin methods for Euler equations of gas dynamics. Int. J. Numer. Meth. Fluids (2002) 40, No. 4, 425-434.
4. M. Lukáčová-Medvidová, K. W. Morton, and G. Warnecke, Finite volume evolution Galerkin (FVEG) methods for hyperbolic systems. Submitted to SISC (2002).
5. M. Lukáčová-Medvidová, K. W. Morton, and G. Wamecke, High resolution finite volume evolution Galerkin schemes for multidimensional conservation laws. European Conference on Numerical Mathematics and Advanced Applications. World Scientific Publishing Company, Singapore, 1999, pp. 633-640.
6. M. Lukáčová-Medvidová, K. W. Morton, and G. Warnecke, Evolution Galerkin methods for hyperbolic systems in two space dimensions. Math. Comp. (2000) 69, No. 232, 1355-1384.
7. M. Lukáčová-Medvidová, K. W. Morton, and G. Warnecke, Evolution Galerkin methods for multidimensional hyperbolic systems. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 (Eds. Onate et al.). CIMNE, Barcelona, 2000, pp.1-14.
8. M. Lukáčová-Medvidová, J. Saibertová, and G.Warnecke, Finite volume evolution Galerkin methods for nonlinear hyperbolic systems. J. Comp. Phys. (2002) 183, 533-562.
9. M. Lukáčová-Medvidová, J. Saibertová, G. Warnecke, and Y. Zahaykah, On evolution Galerkin methods for the Maxwell and the linearized Euler equations. Appl. Math. (2002) (to appear).
10. S. Ostkamp, Multidimensional characteristic Galerkin schemes and evolution operators for hyperbolic systems. Math. Meth. Appl. Sci. (1997) 20, 1111-1125.
11. Th. Sonar, On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: polynomial recovery, accuracy and stencil selection. Comp. Meth. Appl. Mech. Engrg. (1997) 140, 157-181.
12. Th. Sonar, Mehrdimensionale ENO-Verfahren. Teubner, Stuttgart, 1997.
13. D. D. Stancu, The remainder of certain linear approximation formulas in two variables. SIAM J. Numer. Anal. (1964) 1, 137-163.
14. Y. Zahaykah, Evolution Galerkin Schemes and Discrete Boundary Conditions for Multidimensional First Order Systems. Dissertation, University of Magdeburg, Magdeburg, 2002.