Enrichment and coupling of the finite element and meshless methods

A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a finite element...

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Detalles Bibliográficos
Autores: Huerta, Antonio|||0000-0003-4198-3798, Fernández Méndez, Sonia|||0000-0002-9305-7684
Tipo de recurso: artículo
Fecha de publicación:2000
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:2117/8264
Acceso en línea:https://hdl.handle.net/2117/8264
https://dx.doi.org/10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S
Access Level:acceso abierto
Palabra clave:Finite element method
Adaptivity
h-p refinement
Meshless method
Mixed interpolation
Convergence
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Descripción
Sumario:A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a finite element mesh with particles. Thus, there is no need to remesh in adaptive refinement processes. In both cases the same formulation is used, convergence is studied and examples are shown.