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dc.contributor.authorChiu, Edmond Kwan-Yu
dc.contributor.authorWang, Qiqi
dc.contributor.authorHu, Rui
dc.contributor.authorJameson, Antony
dc.date.accessioned2013-03-12T18:27:48Z
dc.date.available2013-03-12T18:27:48Z
dc.date.issued2012-11
dc.date.submitted2011-07
dc.identifier.issn1064-8275
dc.identifier.issn1095-7197
dc.identifier.urihttp://hdl.handle.net/1721.1/77631
dc.description.abstractWe present a novel mesh-free scheme for solving partial differential equations. We first derive a conservative and stable formulation of mesh-free first derivatives. We then show that this formulation is a special case of a general conservative mesh-free framework that allows flexible choices of flux schemes. Necessary conditions and algorithms for calculating the coefficients for our mesh-free schemes that satisfy these conditions are also discussed. We include numerical examples of solving the one- and two-dimensional inviscid advection equations, demonstrating the stability and convergence of our scheme and the potential of using the general mesh-free framework to extend finite volume discretization to a mesh-free context.en_US
dc.language.isoen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1137/110842740en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceSIAMen_US
dc.titleA Conservative Mesh-Free Scheme and Generalized Framework for Conservation Lawsen_US
dc.typeArticleen_US
dc.identifier.citationKwan-yu Chiu, Edmond et al. “A Conservative Mesh-Free Scheme and Generalized Framework for Conservation Laws.” SIAM Journal on Scientific Computing 34.6 (2012): A2896–A2916. © 2012, Society for Industrial and Applied Mathematicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Aeronautics and Astronauticsen_US
dc.contributor.mitauthorWang, Qiqi
dc.contributor.mitauthorHu, Rui
dc.relation.journalSIAM Journal on Scientific Computingen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsKwan-yu Chiu, Edmond; Wang, Qiqi; Hu, Rui; Jameson, Antonyen
dc.identifier.orcidhttps://orcid.org/0000-0001-9669-2563
mit.licensePUBLISHER_POLICYen_US


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