A Schwarz Alternating Procedure for Singular Perturbation Problems

Authors:
Marc Garbey
Affiliations:
-
Venue:
SIAM Journal on Scientific Computing
Year:
1996

Citing 0
Cited 6

A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Applied Mathematics and Computation
The convergence of classical schwarz methods applied to convection-diffusion problems with regular boundary layers

Applied Numerical Mathematics
Parallel Schwarz methods for convection-dominated semilinear diffusion problems

Journal of Computational and Applied Mathematics
Schwarz Methods for Convection-Diffusion Problems

NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems

The Journal of Supercomputing
On an uniform multidomain decomposition method applied to a singularly perturbed problem with regular boundary layers

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on boundary and interior layers - computational and asymptotic methods (BAIL 2002)

Quantified Score

Hi-index	0.00

Visualization

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.