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
Julkaistu sarjassa
Applied Mathematics and ComputationPäivämäärä
2018Tekijänoikeudet
© 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.
Julkaisija
ElsevierISSN Hae Julkaisufoorumista
0096-3003Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/28252274
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Suomen AkatemiaRahoitusohjelmat(t)
Akatemiahanke, SA![](/themes/JYX2/images/funders/sa_logo_thumb.jpg)
Lisätietoja rahoituksesta
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.Lisenssi
Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
A posteriori error control for Maxwell and elliptic type problems
Anjam, Immanuel (University of Jyväskylä, 2014) -
Fully reliable a posteriori error control for evolutionary problems
Matculevich, Svetlana (University of Jyväskylä, 2015) -
A posteriori estimates for a coupled piezoelectric model
Langer, Ulrich; Repin, Sergey; Samrowski, Tatiana (Walter de Gruyter GmbH, 2017)The paper is concerned with a coupled problem describing piesoelectric effects in an elastic body. For this problem, we deduce majorants of the distance between the exact solution and any approximation in the respective ... -
Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey (Springer International Publishing, 2018)The paper is concerned with reliable space-time IgA schemes for parabolic initial-boundary value problems. We deduce a posteriori error estimates and investigate their applicability to space-time IgA approximations. ... -
Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey (Elsevier, 2019)The paper is concerned with space–time IgA approximations to parabolic initial–boundary value problems. We deduce guaranteed and fully computable error bounds adapted to special features of such type of approximations and ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.