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## An accurate FIC-FEM formulation for the 1D convection-diffusion-reaction equation

Autor
Oñate, E.; Miquel, J.; Nadukandi, P.
Tipus d'activitat
Article en revista
Revista
Computer methods in applied mechanics and engineering
Data de publicació
2016-01
Volum
298
Pàgina inicial
373
Pàgina final
406
DOI
https://doi.org/10.1016/j.cma.2015.09.022
COMP-DES-MAT: ADVANCED TOOLS FOR COMPUTATIONAL DESIGN OF ENGINEERING MATERIALS
Repositori
http://hdl.handle.net/2117/78518
URL
http://www.sciencedirect.com/science/article/pii/S0045782515003163
Resum
In this paper we present an accurate stabilized FIC-FEM formulation for the 1D advection-diffusion-reaction equation in the exponential and propagation regimes using two stabilization parameters. Both the steady-state and transient solutions are considered. The stabilized formulation is based on the standard Galerkin FEM solution of the governing differential equations derived via the Finite Increment Calculus (FIC) method. The steady-state problem is considered first. The optimal value of the ...
Citació
Oñate, E., Miquel, J., Nadukandi, P. An accurate FIC-FEM formulation for the 1D convection-diffusion-reaction equation. "Computer methods in applied mechanics and engineering", Gener 2016, vol. 298, The definitive version is available at http://www.sciencedirect.com/science/article/pii/S0045782515003163, p. 373–406.
Paraules clau
Finite Element Method, Stabilized Formulation, Convection-diffusion-reaction, Finite Increment Calculus, Finite Calculus, Fic, One Dimensional Problem, Comp-des-mat Project, Compdesmat Project
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
GMNE - Grup de Mètodes Numèrics en Enginyeria
RMEE - Grup de Resistència de Materials i Estructures a l'Enginyeria