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Comparison of adaptive meshes for a singularly perturbed reaction–diffusion problem

    Andrej Bugajev Affiliation
    ; Raimondas Čiegis Affiliation

Abstract

We consider a singular second-order boundary value problem. The differential problem is approximated by the Galerkin finite element scheme. The main goal is to compare the well known apriori Bakhvalov and Shishkin meshes with the adaptive mesh based on the aposteriori dual error estimators. Results of numerical experiments are presented.

Keyword : singularly perturbed boundary value problem, Galerkin method, adaptive meshes, a posteriori error estimates, Shishkin mesh, Bakhvalov mesh

How to Cite
Bugajev, A., & Čiegis, R. (2012). Comparison of adaptive meshes for a singularly perturbed reaction–diffusion problem. Mathematical Modelling and Analysis, 17(5), 732-748. https://doi.org/10.3846/13926292.2012.736416
Published in Issue
Nov 1, 2012
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This work is licensed under a Creative Commons Attribution 4.0 International License.