On the a posteriori error analysis for linear Fokker–Planck models in convection-dominated diffusion problems

Svetlana Matculevich and Monika Wolfmayr

Applied Mathematics and Computation, 2018, vol. 339, issue C, 779-804

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: A posteriori error estimation; Convection-dominated diffusion problems; Elliptic partial differential equations; Parabolic partial differential equations; Mesh-adaptivity (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:339:y:2018:i:c:p:779-804

DOI: 10.1016/j.amc.2018.05.050

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