A1 Journal article (refereed)
On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems (2018)


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


JYU authors or editors


Publication details

All authors or editorsMatculevich, Svetlana; Wolfmayr, Monika

Journal or seriesApplied Mathematics and Computation

ISSN0096-3003

eISSN1873-5649

Publication year2018

Volume339

Issue number0

Pages range779-804

PublisherElsevier

Publication countryNetherlands

Publication languageEnglish

DOIhttps://doi.org/10.1016/j.amc.2018.05.050

Publication open accessNot open

Publication channel open access

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/59753

Publication is parallel publishedhttps://arxiv.org/abs/1803.09232


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.


Keywordspartial differential equationsdiffusion (physical phenomena)error analysis

Free keywordsa posteriori error estimation; convection-dominated diffusion problems; elliptic partial differential equations; parabolic partial differential equations; mesh-adaptivity


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Ministry reportingYes

Reporting Year2018

JUFO rating1


Last updated on 2023-03-10 at 13:51