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 editors: Matculevich, Svetlana; Wolfmayr, Monika
Journal or series: Applied Mathematics and Computation
ISSN: 0096-3003
eISSN: 1873-5649
Publication year: 2018
Volume: 339
Issue number: 0
Pages range: 779-804
Publisher: Elsevier
Publication country: Netherlands
Publication language: English
DOI: https://doi.org/10.1016/j.amc.2018.05.050
Publication open access: Not open
Publication channel open access:
Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/59753
Publication is parallel published: https://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.
Keywords: partial differential equations; diffusion (physical phenomena); error analysis
Free keywords: a posteriori error estimation; convection-dominated diffusion problems; elliptic partial differential equations; parabolic partial differential equations; mesh-adaptivity
Contributing organizations
Related projects
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- Research Council of Finland
Ministry reporting: Yes
Reporting Year: 2018
JUFO rating: 1