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On the natural stabilization of convection dominated problems using high order Bubnov–Galerkin finite elements
Cai, Quanji; Kollmannsberger, Stefan; Sala Lardies, Esther; Huerta, Antonio; Rank, Ernst
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
Inthecaseofdominatingconvection,standardBubnov–Galerkinfiniteelementsareknown 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 poly- nomialdegreedestabilizesthediscretesolution. Thistreatisealsoprovidesexplicitexpres- sionsastowhichpolynomialdegreeissufficientlyhightoobtainstablesolutionsforagiven P ´ eclet number at the nodes of a mesh.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis
Group theory
p -FEM Convection–diffusion problems Singular-perturbation problem with boundary laye
Grups, Teoria de
Classificació AMS::20 Group theory and generalizations::20P05 Probabilistic methods in group theory
Attribution-NonCommercial-NoDerivs 3.0 Spain

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