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Defining quality measures for validation and generation of high-order meshes

Authors: Gargallo Peiró, Abel; Roca Navarro, Francisco Javier; Peraire Guitart, Jaume; Sarrate Ramos, Josep;

Defining quality measures for validation and generation of high-order meshes

Abstract

A procedure to quantify the distortion (quality) of a high-order mesh composed by curved tetrahedral elements is presented. The proposed technique has two main applications. First, it can be used to check the validity and quality of a high-order tetrahedral mesh. Second, it allows the generation of curved meshes composed by valid and high-quality high-order tetrahedral elements. To this end, we describe a method to simultaneously smooth and untangle high-order tetrahedral meshes by minimizing the proposed mesh distortion. Finally, we present several results to illustrate the two main applications of the proposed technique.

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Keywords

Anàlisi numèrica, :74 Mechanics of deformable solids::74P Optimization [Classificació AMS], :Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics [Àrees temàtiques de la UPC], Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Optimització, Classificació AMS::74 Mechanics of deformable solids::74P Optimization, Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods, Strength of materials, :74 Mechanics of deformable solids::74S Numerical methods [Classificació AMS], Resistència de materials, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics, :Matemàtiques i estadística::Investigació operativa::Optimització [Àrees temàtiques de la UPC], Numerical analysis

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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