Comparison of adaptive meshes for a singularly perturbed reaction–diffusion problem
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.
Keywords:
singularly perturbed boundary value problem, Galerkin method, adaptive meshes, a posteriori error estimates, Shishkin mesh, Bakhvalov meshHow to Cite
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.