Evolution Galerkin methods for multidimensional hyperbolic systems

European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Volumn , Issue , 2000, Pages

  Lukacova Medvid'ova M ^a,b   Morton, K W ^c,d   Warnecke, G ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

^b BRNO UNIVERSITY OF TECHNOLOGY   (Czech Republic)

^c University of Bath   (United Kingdom)

^d UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Bicharacteristics; Evolution Galerkin methods; Finite volume methods; Multidimensional hyperbolic systems

Indexed keywords

BICHARACTERISTICS; FINITE-VOLUME FORMULATION; FIRST ORDER; HYPERBOLIC EQUATIONS; HYPERBOLIC SYSTEM; NUMERICAL EXPERIMENTS; NUMERICAL SCHEME;

COMPUTATIONAL METHODS; FINITE VOLUME METHOD;

GALERKIN METHODS;

EID: 84893405329     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. D.S. Butler, "The numerical solution of hyperbolic systems of partial differential equations in three independent variables", Proc. Roy. S oc., 255, 233-252 (1960).
2. P. Lin, K.W. Morton, and E. Suli, "Euler characteristic Galerkin scheme with recovery", M2AN, 27(7), 863-894 (1993).
3. P. Lin, K.W. Morton, and E. Suli, "Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions", SIAM J. Numer. Anal. 34(2), 779-796 (1997).
4. M. Lukacova - Medvid'ova, K.W. Morton, and G. Warnecke, "Evolution Galerkin methods for hyperbolic systems in two space dimensions", to appear in MathComp.
5. M. Lukacova-Medvid'ova, K.W. Morton, and G. Warnecke, "On the evolution Galerkin method for solving multidimensional hyperbolic systems", Proceedings of the Second European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), World Scientific Publishing Company, Singapore, 445-452(1998).
6. M. Lukacova-Medvid'ova, K. W. Morton, G. Warnecke: "Finite Volume Evolution Galerkin Methods for Multidimensional Hyperbolic Problems", Proceedings of the Finite Volumes for Complex Applications (ed. R. Vilsmeier et.al.), Hermes, 289-296 (1999).
7. M. Lukacova-Medvid'ova, K. W. Morton, G. Warnecke: "High-Resolution Finite Volume Evolution Galerkin Schemes for Multidimensional Hyperbolic Conservation Laws", Proceedings of the 3rd European Conference on Numerical Mathematics and Advanced Applications, 26-30:7. 1999, Jyvaskyla, Finland.
8. M. Lukacova-Medvid'ova, G.Warnecke, Y. Zahaykah: "On Evolution Galerkin Methods for Wave Equation System in Two and Three Dimensions", Technical Report, Otto-von-Guericke-Universitat Magdeburg (2000).
9. K.W. Morton, "Approximation of multidimensional hyperbolic partial differential equations", In I.S. Duff and G.A. Watson, editors, Procedings of the State of the Art in Numerical Analysis Conference, OUP, 473-502(1997).
10. K.W. Morton, "On the analysis of finite volume methods for evolutionary problems", SIAM J. Numer. Anal., 35(6), 2195-2222 (1998).
11. S. Ostkamp, "Multidimensional characterisitic Galerkin schemes and evolution operators for hyperbolic systems", Math. Meth. Appl. Sci., 20, 1111-1125 (1997).