Please use this identifier to cite or link to this item: http://hdl.handle.net/11422/8813
Type: Artigo
Title: Galerkin projected residual method applied to diffusion–reaction problems
Author(s)/Inventor(s): Carmo, Eduardo Gomes Dutra do
Alvarez, Gustavo Benitez
Rochinha, Fernando Alves
Loula, Abimael Fernando Dourado
Abstract: Indisponível.
Abstract: A stabilized finite element method is presented for scalar and linear second-order boundary value problems. The method is obtained by adding to the Galerkin formulation multiple projections of the residual of the differential equation at element level. These multiple projections allow the generation of appropriate number of free stabilization parameters in the element matrix depending on the local space of approximation and on the differential operator. The free parameters can be determined imposing some convergence and/or stability criteria or by postulating the element matrix with the desired stability properties. The element matrix of most stabilized methods (such as, GLS and GGLS methods) can be obtained using this new method with appropriate choices of the stabilization parameters. We applied this formulation to diffusion–reaction problems. Optimal rates of convergency are numerically observed for regular solutions.
Keywords: Stabilization
GLS
GPR
Diffusion–reaction equation
Finite element method
Second-order boundary value problems
Subject CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Production unit: Núcleo Interdisciplinar de Dinâmica dos Fluidos
Publisher: Elsevier
In: Computer Methods in Applied Mechanics and Engineering
Volume: 197
Issue: 51-52
Issue Date: 31-May-2008
DOI: 10.1016/j.cma.2008.05.021
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
ISSN: 0045-7825
Appears in Collections:Engenharias

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