Geometrically Consistent Mesh Modification

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

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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 languageEnglish (US)
Pages (from-to)1877-1899
Number of pages23
JournalSIAM Journal on Numerical Analysis
Issue number5
StatePublished - Jan 2010
Externally publishedYes

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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