Time-accurate solution of stabilized convection-diffusion-reaction equations: II - accuracy analysis and examples

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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	Huerta, Antonio
dc.contributor.author	Roig, B
dc.contributor.author	Donea, J
dc.date	2002-08
dc.identifier.citation	Huerta, A.; Roig, B.; Donea, J. Time-accurate solution of stabilized convection-diffusion-reaction equations: II - accuracy analysis and examples. "Communications in numerical methods in engineering", Agost 2002, vol. 18, núm. 8, The definitive version is available at http://www3.interscience.wiley.com/journal/93520035/abstract, p. 575-584.
dc.identifier.citation	1069-8299
dc.identifier.citation	10.1002/cnm.518
dc.identifier.uri	http://hdl.handle.net/2117/8474
dc.language.iso	eng
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject	Finite element method
dc.subject	Spatial analysis
dc.subject	convection-diffusion-reaction
dc.subject	time-stepping schemes
dc.subject	stabilization
dc.subject	least squares
dc.subject	finite element method
dc.subject	Elements finits, Mètode dels -- Anàlisi numèrica
dc.title	Time-accurate solution of stabilized convection-diffusion-reaction equations: II - accuracy analysis and examples
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The paper addresses the development of time-accurate methods for solving transient convection-diffusion -reaction problems using finite elements. The accuracy characteristics of the spatially stabilized implicit multi-stage time-stepping schemes developed in a companion paper (Part I of this work) are analysed and compared here. This is done by means of a Fourier analysis. An important improvement is observed when the order of the method is increased. Moreover, the stabilization techniques proposed (streamline-upwind Petrov-Galerkin (SUPG), Galerkin least-square (GLS), sub-grid scale (SGS) and least squares) do not degrade the phase accuracy. Finally, some examples are presented to show the applicability of these schemes.
dc.description.abstract	Peer Reviewed

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