A numerical method for singularly perturbed convection-diffusion problems posed on smooth domains
Numerical Analysis
2021-12-23 v1 Numerical Analysis
Abstract
A finite difference method is constructed to solve singularly perturbed convection-diffusion problems posed on smooth domains. Constraints are imposed on the data so that only regular exponential boundary layers appear in the solution. A domain decomposition method is used, which uses a rectangular grid outside the boundary layer and a Shishkin mesh, aligned to the curvature of the outflow boundary, near the boundary layer. Numerical results are presented to demonstrate the effectiveness of the proposed numerical algorithm.
Cite
@article{arxiv.2112.11835,
title = {A numerical method for singularly perturbed convection-diffusion problems posed on smooth domains},
author = {Alan F. Hegarty and Eugene O'Riordan},
journal= {arXiv preprint arXiv:2112.11835},
year = {2021}
}
Comments
24 pages, 7 figures