Geometrically Consistent Mesh Modification

Type
Article

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

KAUST Grant Number
KUS-C1-016-04

Date
2010-01

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.

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).

Publisher
Society for Industrial & Applied Mathematics (SIAM)

Journal
SIAM Journal on Numerical Analysis

DOI
10.1137/100781833

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