Handle URI:
http://hdl.handle.net/10754/598410
Title:
Geometrically Consistent Mesh Modification
Authors:
Bonito, A.; Nochetto, R. H.; Pauletti, M. S.
Abstract:
A new paradigm of adaptivity is to execute refinement, coarsening, and smoothing of meshes on manifolds with incomplete information about their geometry and yet preserve position and curvature accuracy. We refer to this collectively as geometrically consistent (GC) mesh modification. We discuss the concept of discrete GC, show the failure of naive approaches, and propose and analyze a simple algorithm that is GC and accuracy preserving. © 2010 Society for Industrial and Applied Mathematics.
Citation:
Bonito A, Nochetto RH, Pauletti MS (2010) Geometrically Consistent Mesh Modification. SIAM J Numer Anal 48: 1877–1899. Available: http://dx.doi.org/10.1137/100781833.
Publisher:
Society for Industrial & Applied Mathematics (SIAM)
Journal:
SIAM Journal on Numerical Analysis
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
Jan-2010
DOI:
10.1137/100781833
Type:
Article
ISSN:
0036-1429; 1095-7170
Sponsors:
The work of these authors was partially supported by NSF grant DMS-0807811. The first author's work was also partially supported by NSF grant DMS-0914977. The last author's work was partially supported by award KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBonito, A.en
dc.contributor.authorNochetto, R. H.en
dc.contributor.authorPauletti, M. S.en
dc.date.accessioned2016-02-25T13:20:15Zen
dc.date.available2016-02-25T13:20:15Zen
dc.date.issued2010-01en
dc.identifier.citationBonito A, Nochetto RH, Pauletti MS (2010) Geometrically Consistent Mesh Modification. SIAM J Numer Anal 48: 1877–1899. Available: http://dx.doi.org/10.1137/100781833.en
dc.identifier.issn0036-1429en
dc.identifier.issn1095-7170en
dc.identifier.doi10.1137/100781833en
dc.identifier.urihttp://hdl.handle.net/10754/598410en
dc.description.abstractA new paradigm of adaptivity is to execute refinement, coarsening, and smoothing of meshes on manifolds with incomplete information about their geometry and yet preserve position and curvature accuracy. We refer to this collectively as geometrically consistent (GC) mesh modification. We discuss the concept of discrete GC, show the failure of naive approaches, and propose and analyze a simple algorithm that is GC and accuracy preserving. © 2010 Society for Industrial and Applied Mathematics.en
dc.description.sponsorshipThe work of these authors was partially supported by NSF grant DMS-0807811. The first author's work was also partially supported by NSF grant DMS-0914977. The last author's work was partially supported by award KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)en
dc.subjectAccuracy preservingen
dc.subjectCoarseningen
dc.subjectGeometric consistencyen
dc.subjectManifolden
dc.subjectMean curvatureen
dc.subjectMesh modificationen
dc.subjectParametric finite elementsen
dc.subjectRefinementen
dc.subjectSmoothingen
dc.subjectWillmore flowen
dc.titleGeometrically Consistent Mesh Modificationen
dc.typeArticleen
dc.identifier.journalSIAM Journal on Numerical Analysisen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionUniversity of Maryland, College Park, United Statesen
kaust.grant.numberKUS-C1-016-04en
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