A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes
Numerical Analysis
2022-01-19 v3 Numerical Analysis
Abstract
A numerical algorithm is presented to solve a benchmark problem proposed by Hemker. The algorithm incorporates asymptotic information into the design of appropriate piecewise-uniform Shishkin meshes. Moreover, different co-ordinate systems are utilized due to the different geometries and associated layer structures that are involved in this problem. Numerical results are presented to demonstrate the effectiveness of the proposed numerical algorithm.
Cite
@article{arxiv.2006.11096,
title = {A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes},
author = {Alan F. Hegarty and Eugene O'Riordan},
journal= {arXiv preprint arXiv:2006.11096},
year = {2022}
}
Comments
25 pages with 8 figures