Abstract
We show that the Schwarz alternating procedure offers a good algorithm for the numerical solution of singular perturbation problems, provided the domain decomposition is properly designed to resolve the boundary and transition layers. We give sharp estimates for the optimal position of the domain boundaries and study the convergence rates of the algorithm for various linear second-order singular perturbation problems. We report on implementation results for a turning-point problem and a combustion problem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1175-1201 |
| Number of pages | 27 |
| Journal | SIAM Journal on Scientific Computing |
| Volume | 17 |
| Issue number | 5 |
| DOIs | |
| State | Published - Sep 1996 |
Keywords
- Boundary layers
- Domain decomposition
- Singular perturbations
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics