On the natural stabilization of convection dominated problems using high order Bubnov–Galerkin finite elements

Home | About RECERCAT | Contact

Català | Castellano

All of RECERCAT

By Communities &
Collections By Defense Date By Authors By Titles By Subject

This Collection

By Defense Date By Authors By Titles By Subject

Statistics

View Statistics All RECERCAT

My RECERCAT

Other repositories directory

RECERCAT Home > Universitat Politècnica de Catalunya > Documents de recerca > View document

To access the full text documents, please follow this link: http://hdl.handle.net/2117/28463

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.contributor.author	Cai, Quanji
dc.contributor.author	Kollmannsberger, Stefan
dc.contributor.author	Sala Lardies, Esther
dc.contributor.author	Huerta, Antonio
dc.contributor.author	Rank, Ernst
dc.date	2014-01
dc.identifier.citation	Cai, Q. [et al.]. On the natural stabilization of convection dominated problems using high order Bubnov–Galerkin finite elements. "Computers & mathematics with applications", Gener 2014, vol. 66, núm. 12, p. 2545-2558.
dc.identifier.citation	0898-1221
dc.identifier.citation	10.1016/j.camwa.2013.09.009
dc.identifier.uri	http://hdl.handle.net/2117/28463
dc.language.iso	eng
dc.relation	http://www.sciencedirect.com/science/article/pii/S0898122113005609
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis
dc.subject	Group theory
dc.subject	p -FEM Convection–diffusion problems Singular-perturbation problem with boundary laye
dc.subject	Grups, Teoria de
dc.subject	Classificació AMS::20 Group theory and generalizations::20P05 Probabilistic methods in group theory
dc.title	On the natural stabilization of convection dominated problems using high order Bubnov–Galerkin finite elements
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	In the case of dominating convection, standard Bubnov–Galerkin finite elements are known to deliver oscillating discrete solutions for the convection–diffusion equation. This paper demonstrates that increasing the polynomial degree (p-extension) limits these artificial numerical oscillations. This is contrary to a widespread notion that an increase of the polynomial degree destabilizes the discrete solution. This treatise also provides explicit expressions as to which polynomial degree is sufficiently high to obtain stable solutions for a given Peclet number at the nodes of a mesh.
dc.description.abstract	Peer Reviewed

Show simple item record

All of RECERCAT

This Collection

Statistics

My RECERCAT

Related documents

Other documents of the same author