A Numerical Method for Singularly Perturbed Convection-diffusion Problems Posed on Smooth Domains-Reference-Cited by-同舟云学术

A Numerical Method for Singularly Perturbed Convection-diffusion Problems Posed on Smooth Domains

Published:2022-07-23 Issue:3 Volume:92 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Hegarty A. F.,O’Riordan E.^ORCID

Abstract

AbstractA 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.

Funder

Dublin City University

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10915-022-01896-7.pdf

Reference18 articles.

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