Accurate FIC-FEM formulation for the multidimensional steady-state advection–diffusion–absorption equation

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/114549

dc.contributor	Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor	Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria
dc.contributor	Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
dc.contributor.author	Oñate Ibáñez de Navarra, Eugenio
dc.contributor.author	Nadukandi, Prashanth
dc.contributor.author	Miquel Canet, Juan
dc.date	2017-12
dc.identifier.citation	Oñate, E., Nadukandi, P., Miquel, J. Accurate FIC-FEM formulation for the multidimensional steady-state advection–diffusion–absorption equation. "Computer methods in applied mechanics and engineering", Desembre 2017, vol. 327, p. 352-368.
dc.identifier.citation	0045-7825
dc.identifier.citation	10.1016/j.cma.2017.08.012
dc.identifier.uri	http://hdl.handle.net/2117/114549
dc.language.iso	eng
dc.relation	http://www.sciencedirect.com/science/article/pii/S0045782517305923
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::Anàlisi numèrica::Mètodes en elements finits
dc.subject	Àrees temàtiques de la UPC::Física::Física de fluids
dc.subject	Fluid dynamics--Mathematical models
dc.subject	Advection-diffusion-absorption
dc.subject	Finite element method
dc.subject	Finite increment calculus
dc.subject	Dinàmica de fluids -- Models matemàtics
dc.title	Accurate FIC-FEM formulation for the multidimensional steady-state advection–diffusion–absorption equation
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	In this paper we present an accurate stabilized FIC-FEM formulation for the multidimensional steady-state advection-diffusion-absorption equation.The stabilized formulation is based on the Galerkin FEM solution of the governing differential equations derived via the Finite Increment Calculus (FIC) method using two stabilization parameters. The value of the two stabilization parameters ensuring an accurate nodal FEM solution using uniform meshes of linear elements is obtained from the optimal values for the 1D problem.The accuracy of the new FIC-FEM formulation is demonstrated in the solution of 2D steady-state advection-diffusion-absorption problems for a range of physical parameters and boundary conditions.
dc.description.abstract	Peer Reviewed

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