Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints
dc.bibliographicCitation.firstPage | 99 | eng |
dc.bibliographicCitation.journalTitle | Numerische Mathematik | eng |
dc.bibliographicCitation.lastPage | 149 | eng |
dc.bibliographicCitation.volume | 151 | eng |
dc.contributor.author | Gaudeul, Benoît | |
dc.contributor.author | Fuhrmann, Jürgen | |
dc.date.accessioned | 2022-06-16T11:54:02Z | |
dc.date.available | 2022-06-16T11:54:02Z | |
dc.date.issued | 2022 | |
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/123456789/9057 | |
dc.identifier.uri | https://doi.org/10.34657/8095 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin ; Heidelberg : Springer | eng |
dc.relation.doi | https://doi.org/10.1007/s00211-022-01279-y | |
dc.relation.essn | 0945-3245 | |
dc.rights.license | CC BY 4.0 Unported | eng |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | eng |
dc.subject.ddc | 510 | eng |
dc.title | Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints | eng |
dc.type | Article | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Zeitschriftenartikel | eng |
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