Codice | 21/2008 |
Titolo | Domain Decomposition Preconditioning for Discontinuous Galerkin Approximation of Convection-Diffusion Problems |
Data | 2008-09-29 |
Autore/i | Antonietti, Paola; Suli, Endre |
Link | Download full text |
Abstract | We study a class of nonoverlapping Schwarz preconditioners for DG ap- proximations of convection-di usion equations. The generalized minimal residual (GMRES) Krylov space-based iterative solver is accelerated with the proposed preconditioners. We discuss the issue of convergence of the re- sulting preconditioned iterative method, and demonstrate through numer- ical computations that the classical Schwarz convergence theory for non- symmetric and indefinite problems developed by Cai and Widlund [SIAM J. Sci. Statist. Comput. 13 (1992) 243--258], [SIAM J. Numer. Anal.
30 (1993) 936--952] cannot be applied to explain theoretically the converge observed numerically |
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