A new equilibrated residual method improving accuracy and efficiency of flux-free error estimates
Visualitza/Obre
Cita com:
hdl:2117/99967
Tipus de documentArticle
Data publicació2017-01-01
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
This paper presents a new methodology to compute guaranteed upper bounds for the energy norm of the error in the context of linear finite element approximations of the reaction–diffusion equation. The new approach revisits the ideas in Parés et al. (2009) [6, 4], with the goal of substantially reducing the computational cost of the flux-free method while retaining the good quality of the bounds. The new methodology provides also a technique to compute equilibrated boundary tractions improving the quality of standard equilibration strategies. The zeroth-order equilibration conditions are imposed using an alternative less restrictive form of the first-order equilibration conditions, along with a new efficient minimization criterion. This new equilibration strategy provides much more accurate upper bounds for the energy and requires only doubling the dimension of the local linear systems of equations to be solved.
CitacióPares, N., Diez, P. A new equilibrated residual method improving accuracy and efficiency of flux-free error estimates. "Computer methods in applied mechanics and engineering", 1 Gener 2017, vol. 313, p. 785-816.
ISSN0045-7825
Versió de l'editorhttp://www.sciencedirect.com/science/article/pii/S004578251630250X
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
2016-CMAME-PD-blanc.pdf | 4,012Mb | Visualitza/Obre |