Name
Abstract | ||
|---|---|---|
We present an iterative, non-overlapping domain decomposition method for solving the convection–diffusion equation. A reformulation of the problem leads to an equivalent problem, where the unknowns are on the boundary of the subdomains [F. Nataf, F. Rogier, E. de Sturler, in: A. Sequeira (Ed.), Navier–Stokes Equations on Related Nonlinear Analysis, Plenum Press, New York, 1995, pp. 307–377]. The solving of this interface problem by a Krylov type algorithm [Y. Saad, Iterative Methods for Sparse Linear Systems, PWS Publishing Company, 1996] is done by the solving of independent problems in each subdomain, so it permits to use efficiently parallel computation. In order to have very fast convergence, we use differential interface conditions of order 1 in the normal direction and of order 2 in the tangential direction to the interface, which are optimized approximations of absorbing boundary conditions [C. Japhet, Méthode de décomposition de domaine et conditions aux limites artificielles en mécanique des fluides: méthode optimisée d’Ordre 2, Thèse de Doctorat, Université Paris XIII, 1998; F. Nataf, F. Rogier, M3 AS 5 (1) (1995) 67–93]. Numerical tests illustrate the efficiency of the method. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1016/S0167-739X(00)00072-8 | Future Generation Computer Systems - I. High Performance Numerical Methods and Applications. II. Performance Data Mining: Automated Diagnosis, Adaption, and Optimization |
Keywords | Field | DocType |
optimized order,parallel computer,domain decomposition,convection diffusion equation,iteration method | Convergence (routing),Boundary value problem,Convection–diffusion equation,Applied mathematics,Mathematical optimization,Nonlinear system,Linear system,Iterative method,Computer science,Normal,Domain decomposition methods,Distributed computing | Journal |
Volume | Issue | ISSN |
18 | 1 | 0167-739X |
ISBN | Citations | PageRank |
0-7923-8588-8 | 12 | 1.12 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Caroline Japhet | 1 | 38 | 6.64 |
| Frédéric Nataf | 2 | 248 | 29.13 |
| Francois Rogier | 3 | 31 | 6.37 |