Entropy and convergence analysis for two finite volume schemes for a Nernst--Planck--Poisson system with ion volume constraints
dc.bibliographicCitation.volume | 2811 | |
dc.contributor.author | Gaudeul, Benoît | |
dc.contributor.author | Fuhrmann, Jürgen | |
dc.date.accessioned | 2022-07-05T14:00:01Z | |
dc.date.available | 2022-07-05T14:00:01Z | |
dc.date.issued | 2021 | |
dc.description.abstract | In this paper, we consider a drift-diffusion system with cross-coupling through the chemical potentials comprising a model for the motion of finite size ions in liquid electrolytes. The drift term is due to the self-consistent electric field maintained by the ions and described by a Poisson equation. We design two finite volume schemes based on different formulations of the fluxes. We also provide a stability analysis of these schemes and an existence result for the corresponding discrete solutions. A convergence proof is proposed for non-degenerate solutions. Numerical experiments show the behavior of these schemes. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9529 | |
dc.identifier.uri | https://doi.org/10.34657/8567 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2811 | |
dc.relation.hasversion | https://doi.org/10.1007/s00211-022-01279-y | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject | finite volume methods | eng |
dc.subject | drift-diffusion equations | eng |
dc.subject | generalized Nernst--Planck--Poisson system | eng |
dc.subject | finite size effects | eng |
dc.subject.ddc | 510 | |
dc.title | Entropy and convergence analysis for two finite volume schemes for a Nernst--Planck--Poisson system with ion volume constraints | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dcterms.extent | 38 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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