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dc.contributor.authorAggarwal, Aekta
dc.contributor.authorHolden, Helge
dc.contributor.authorVaidya, Ganesh
dc.date.accessioned2024-10-10T09:11:26Z
dc.date.available2024-10-10T09:11:26Z
dc.date.created2024-09-25T22:59:08Z
dc.date.issued2024
dc.identifier.citationIMA Journal of Numerical Analysis. 2024, 00 1-39.en_US
dc.identifier.issn0272-4979
dc.identifier.urihttps://hdl.handle.net/11250/3157481
dc.description.abstractThis article deals with the error estimates for numerical approximations of the entropy solutions of coupled systems of nonlocal hyperbolic conservation laws. The systems can be strongly coupled through the nonlocal coefficient present in the convection term. A fairly general class of fluxes is being considered, where the local part of the flux can be discontinuous at infinitely many points, with possible accumulation points. The aims of the paper are threefold: (1) Establishing existence of entropy solutions with rough local flux for such systems, by deriving a uniform bound on the numerical approximations; (2) Deriving a general Kuznetsov-type lemma (and hence uniqueness) for such systems with both smooth and rough local fluxes; (3) Proving the convergence rate of the finite volume approximations to the entropy solutions of the system as 1/2 and 1/3 ⁠, with homogeneous (in any dimension) and rough local parts (in one dimension), respectively. Numerical experiments are included to illustrate the convergence rates.en_US
dc.language.isoengen_US
dc.publisherOxford University Pressen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleWell-posedness and error estimates for coupled systems of nonlocal conservation lawsen_US
dc.title.alternativeWell-posedness and error estimates for coupled systems of nonlocal conservation lawsen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.description.versionpublishedVersionen_US
dc.source.pagenumber1-39en_US
dc.source.journalIMA Journal of Numerical Analysisen_US
dc.identifier.doi10.1093/imanum/drad101
dc.identifier.cristin2303177
dc.relation.projectNorges forskningsråd: 325114en_US
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode2


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