On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems
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
Published inApplied Mathematics and Computation
© 2018 Elsevier Inc
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.
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Related funder(s)Academy of Finland
Funding program(s)Academy Project, AoF
Additional information about fundingThe 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.
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