Geometrically Consistent Mesh Modification

A. Bonito; R. H. Nochetto; M. S. Pauletti

doi:10.1137/100781833

Geometrically Consistent Mesh Modification

A. Bonito, R. H. Nochetto, M. S. Pauletti

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1877-1899
Number of pages	23
Journal	SIAM Journal on Numerical Analysis
Volume	48
Issue number	5
DOIs	https://doi.org/10.1137/100781833
State	Published - Jan 2010
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: 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).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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title = "Geometrically Consistent Mesh Modification",

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. {\textcopyright} 2010 Society for Industrial and Applied Mathematics.",

author = "A. Bonito and Nochetto, {R. H.} and Pauletti, {M. S.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUS-C1-016-04 Acknowledgements: 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). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2010",

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doi = "10.1137/100781833",

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AU - Pauletti, M. S.

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JF - SIAM Journal on Numerical Analysis

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Geometrically Consistent Mesh Modification

Abstract

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