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dc.contributor.authorGargallo-Peiró, Abel
dc.contributor.authorSarrate, Josep
dc.contributor.authorRoca Navarro, Francisco Javier
dc.date.accessioned2017-03-10T18:00:44Z
dc.date.available2017-03-10T18:00:44Z
dc.date.issued2013-09
dc.date.submitted2013-02
dc.identifier.issn0178-7675
dc.identifier.issn1432-0924
dc.identifier.urihttp://hdl.handle.net/1721.1/107382
dc.description.abstractA method to optimize triangular and quadrilateral meshes on parameterized surfaces is proposed. The optimization procedure relocates the nodes on the surface to improve the quality (smooth) and ensures that the elements are not inverted (untangle). We detail how to express any measure for planar elements in terms of the parametric coordinates of the nodes. The extended measures can be used to check the quality and validity of a surface mesh. Then, we detail how to optimize any Jacobian-based distortion measure to obtain smoothed and untangled meshes with the nodes on the surface. We prove that this method is independent of the surface parameterization. Thus, it can optimize meshes on CAD surfaces defined by low-quality parameterizations. The examples show that the method can optimize meshes composed by a large number of inverted elements. Finally, the method can be extended to obtain high-order meshes with the nodes on the CAD surfaces.en_US
dc.description.sponsorshipSpain. Ministerio de Ciencia e Innovación (DPI2011-23058)en_US
dc.description.sponsorshipGeneralitat de Catalunya (CUR from DIUE and European Social Fund (Grants FI-DGR and BE-DGR))en_US
dc.publisherSpringer Berlin Heidelbergen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s00466-013-0920-1en_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.sourceSpringer Berlin Heidelbergen_US
dc.titleA surface mesh smoothing and untangling method independent of the CAD parameterizationen_US
dc.typeArticleen_US
dc.identifier.citationGargallo-Peiró, Abel, Xevi Roca, and Josep Sarrate. “A Surface Mesh Smoothing and Untangling Method Independent of the CAD Parameterization.” Comput Mech 53, no. 4 (September 11, 2013): 587–609.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Aeronautics and Astronauticsen_US
dc.contributor.mitauthorRoca Navarro, Francisco Javier
dc.relation.journalComputational Mechanicsen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2016-05-23T12:10:46Z
dc.language.rfc3066en
dc.rights.holderSpringer-Verlag Berlin Heidelberg
dspace.orderedauthorsGargallo-Peiró, Abel; Roca, Xevi; Sarrate, Josepen_US
dspace.embargo.termsNen
dc.identifier.orcidhttps://orcid.org/0000-0001-7978-4116
mit.licensePUBLISHER_POLICYen_US


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