Optimized Schwarz Waveform Relaxation Algorithms with Nonconforming Time Discretization for Coupling Convection-diffusion Problems with Discontinuous Coefficients

Lecture Notes in Computational Science and Engineering

Volumn 55, Issue , 2007, Pages 267-274

  Blayo, Eric ^a   Halpern, Laurence ^b   Japhet, Caroline ^b  

^a UNIV GRENOBLE ALPES   (France)

^b UNIVERSITÉ PARIS 13   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN LIQUIDS; DOMAIN DECOMPOSITION METHODS; GALERKIN METHODS; HEAT CONVECTION; NON NEWTONIAN FLOW;

CONVECTION DIFFUSION PROBLEMS; DISCONTINUOUS COEFFICIENTS; DISCONTINUOUS GALERKIN METHODS; HIGHER ORDER SCHEMES; RELAXATION ALGORITHM; SCHWARZ WAVEFORM RELAXATION ALGORITHM; TIME DISCRETIZATION; TRANSMISSION CONDITIONS;

ITERATIVE METHODS;

EID: 84868555136     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-34469-8_31     Document Type: Article

References (6)

1. D. Bennequin, M. J. Gander, and L. Halpern, Optimized Schwarz waveform relaxation methods for convection reaction diffusion problems, Tech. Rep. 24, Institut Galilée, Paris XIII, 2004.
2. M. J. Gander, L. Halpern, and M. Kern, A Schwarz Waveform Relaxation method for advection-diffusion-reaction problems with discontinuous coefficients and non-matching grids, in Proceedings of the 16th International Conference on Domain Decomposition Methods, O. B. Widlund and D. E. Keyes, eds., Springer, 2006. these proceedings.
3. M. J. Gander, L. Halpern, and F. Nataf, Optimal Schwarz waveform relaxation for the one dimensional wave equation, SIAM J. Numer. Anal., 41 (2003), pp. 1643-1681.
4. C. Johnson, Numerical Solutions of Partial Differential Equations by the Finite Element Method, Cambridge University Press, Cambridge, 1987.
5. V. Martin, An optimized Schwarz Waveform Relaxation method for the unsteady convection diffusion equation in two dimensions, Appl. Numer. Math., 52 (2005), pp. 401-428.
6. P. Pellerin, H. Ritchie, F. J. Saucier, F. Roy, S. Desjardins, M. Valin, and V. Lee, Impact of a two-way coupling between an atmospheric and an oceanice model over the gulf of St. Lawrence, Monthly Weather Review, 32 (2004), pp. 1379-1398.