On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems
Abstract
This work is aimed at the derivation of reliable and efficient a posteriori error estimates for convection-dominated diffusion problems motivated by a linear Fokker–Planck problem appearing in computational neuroscience. We obtain computable error bounds of functional type for the static and time-dependent case and for different boundary conditions (mixed and pure Neumann boundary conditions). Finally, we present a set of various numerical examples including discussions on mesh adaptivity and space-time discretisation. The numerical results confirm the reliability and efficiency of the error estimates derived.
Main Authors
Format
Articles
Research article
Published
2018
Series
Subjects
Publication in research information system
Publisher
Elsevier
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201810034329Use this for linking
Review status
Peer reviewed
ISSN
0096-3003
DOI
https://doi.org/10.1016/j.amc.2018.05.050
Language
English
Published in
Applied Mathematics and Computation
Citation
- Matculevich, S., & Wolfmayr, M. (2018). On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems. Applied Mathematics and Computation, 339, 779-804. https://doi.org/10.1016/j.amc.2018.05.050
Funder(s)
Academy of Finland
Funding program(s)
Akatemiahanke, SA
Academy Project, AoF
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Additional information about funding
The authors gratefully acknowledge the financial support by the Austrian Science Fund (FWF) through the NFN S117-03 project, and by the Academy of Finland, grant 295897.
Copyright© 2018 Elsevier Inc