Numerical representation of the quality measures of triangles and triangular meshes

In this note a new procedure to represent the quality measure for triangles is proposed. The triangles are identified by their three angles and are represented in a bounded domain, called angle representation region, according to the area co-ordinates, which are common and well known by finite eleme...

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Detalles Bibliográficos
Autores: Sarrate Ramos, Josep|||0000-0003-0182-934X, Palau, J, Huerta, Antonio|||0000-0003-4198-3798
Tipo de recurso: artículo
Fecha de publicación:2003
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/8472
Acceso en línea:https://hdl.handle.net/2117/8472
https://dx.doi.org/10.1002/cnm.585
Access Level:acceso abierto
Palabra clave:Finite element method
Numerical grid generation (Numerical analysis)
Finite element meshes
triangular elements
quality measure
Elements finits, Mètode dels -- Anàlisi numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Descripción
Sumario:In this note a new procedure to represent the quality measure for triangles is proposed. The triangles are identified by their three angles and are represented in a bounded domain, called angle representation region, according to the area co-ordinates, which are common and well known by finite element users. The developed representation can also be used in order to visualize the characteristics of any quality measure. This new procedure is extended to graphically represent triangular meshes in the angle representation region.