A domain decomposition method for hyperbolic problems in 2D. (English) Zbl 0860.65090
Ecer, A. (ed.) et al., Parallel computational fluid dynamics: new trends and advances. Proceedings of the parallel CFD ’93 conference, Paris, France, May 10-12, 1993. Amsterdam: North-Holland. 373-380 (1995).
Summary: Implicit time-discretizations of hyperbolic partial differential equations are considered. The linear system of equations that has to be solved in each time-step is solved with a conjugate gradient-like iterative method. The system is preconditioned with a new block-Toeplitz preconditioner with a fast solver based on a fast modified sine transform. The preconditioner is shown to work very well in a domain decomposition setting of the problem.
For the entire collection see [Zbl 0817.00022].
For the entire collection see [Zbl 0817.00022].
MSC:
| 65M55 | Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs |
| 65F10 | Iterative numerical methods for linear systems |
| 65F35 | Numerical computation of matrix norms, conditioning, scaling |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 35L45 | Initial value problems for first-order hyperbolic systems |
