Publications

Forthcoming

2021

A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: Application to the hybridizable discontinuous Galerkin method
Parés, N., Nguyen, N.C., Díez, P. and Peraire, J.
Computer Methods in Applied Mechanics and Engineering , 2021
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Structural Damage Classification in a Jacket-Type Wind-Turbine Foundation Using Principal Component Analysis and Extreme Gradient Boosting
Leon-Medina, J.X., Anaya, M., Parés, N., Tibaduiza, D.A. and Pozo, F.
Sensors , Vol. 21, Issue 8, 2021
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2019

A new 3D equilibrated residual method improving accuracy and efficiency of flux-free error estimates
Parés, N. and Díez, P.
International Journal for Numerical Methods in Engineering , Vol. 120, pp. 391-432, 2019
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2017

Enhanced goal-oriented error assessment and computational strategies in adaptive reduced basis solver for stochastic problems
Serafin, K.; Magnain, B.; Florentin, E.; Parés, N. and Díez, P.
International Journal for Numerical Methods in Engineering , Vol. 110, Issue 5, pp. 440-466, 2017
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A new equilibrated residual method improving accuracy and efficiency of flux-free error estimates
N. Parés, N. and Díez, P.
Computer Methods in Applied Mechanics and Engineering , Vol. 313, Issue 1, pp. 785-816, 2017
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2016

Adaptividade e Estimativas de Erro Orientadas por Metas Aplicadas a um Benchmark Test de Propagação de Onda
Steffens, L.M.; Díez, P.; Parés, N. and Alves, M.K.
Tendências em Matemática Aplicada e Computacional , Vol. 17, Issue 1, pp. 35-53, 2016
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2014

Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution
Verdugo, F.; Parés, N.; and Díez, P.
Computational Mechanics , Vol. 54, Issue 2, pp. 331-352, 2014
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Error assessment in structural transient dynamics
Verdugo, F.; Parés, N.; and Díez, P.
Archives of Computational Methods in Engineering , Vol. 21, Issue 1, pp. 59-90, 2014
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2013

Computable exact bounds for linear outputs from stabilized solutions of the advection-diffusion-reaction equation
Parés, N.; Díez, P. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 96, Num. 5, pp. 483-509, 2013
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Modal based goal-oriented error assessment for timeline-dependent quantities in transient dynamics
F. Verdugo, N. Parés and P. Díez
International Journal for Numerical Methods in Engineering, Vol. 95, Issue: 8, pp. 685-720, 2013
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2011

Estimation of the dispersion error in the numerical wave number of standard and stabilized finite element approximations of the Helmholtz equation
Steffens, L. M.; Parés, N. and Díez, P.
International Journal for Numerical Methods in Engineering, Vol. 86 Issue 10, pp. 1197-1224, 2011
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Goal-oriented h-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies
Steffens, L. M.; Parés, N. and Díez, P.
Computational Mechanics, Vol. 47 Number 6, pp. 681-699, 2011
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2010

Error Estimation and Quality Control
Diez, P.; Parés, N. and Huerta, A.
Encyclopedia of Aerospace Engineering, Wiley, Vol. 3, Part 15, Chapter 144, pp. 1725-1734, 2010
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2009

Exact bounds for linear outputs of the advection-diffusion-reaction equation using flux-free error estimates
Parés, N., Díez, P., Huerta, A.
Journal on Scientific Computing, SIAM, Vol. 31, Issue 4, pp. 3064-3089, 2009
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Guaranteed energy error bounds for the Poisson equation using a flux-free approach: solving the local problems in subdomains
Parés, N., Santos, H., and Díez, P.
International Journal for Numerical Methods in Engineering, Vol. 79, Issue 10, pp. 1203-1244, 2009
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2008

Bounds for quantities of interest and adaptivity in the Element Free Galerkin method
Vidal, Y., Parés, N., Díez, P., Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 76, Issue 11, pp. 1782-1818, 2008
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Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the Discontinuous Galerkin time discretization
Parés, N., Díez, P. and Huerta, A..
Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issues 19-20, pp. 1641-1660, 2008
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Bounds of functional outputs for parabolic problems. Part II: Bounds of the exact solution
Parés, N., Díez, P. and Huerta, A..
Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issues 19-20, pp. 1661-1679, 2008
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2006

Computing upper and lower bounds for the J-integral in two-dimensional linear elasticity
Z.C. Xuan, N. Parés and J. Peraire
Computer Methods in Applied Mechanics and Engineering, Vol. 195, pp. 430-443, 2006
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Subdomain-based flux-free a posteriori error estimators
Núria Parés, Pedro Díez and Antonio Huerta
Computer Methods in Applied Mechanics and Engineering, Vol. 195, Issues 4-6, pp. 297-323, 2006
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The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
N. Parés, J. Bonet, A. Huerta and J. Peraire
Computer Methods in Applied Mechanics and Engineering, Vol. 195, Issues 4-6, pp. 406-429, 2006
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2004

Accurate upper and lower error bounds by solving flux-free local problems in "stars"
Díez, P., Parés, N. y Huerta, A.
Revue européenne des éléments finis, Vol. 13, Issue 5-6-7/2004, pp. 497-507, 2004
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2003

Recovering lower bounds of the error by postprocessing implicit residual a posteriori error estimates
Díez, P., Parés; N. And Huerta,A.
International Journal for Numerical Methods in Engineering, Vol. 56, Issue 10, pp. 1465-1488, 2003
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Internal reports

Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the Discontinuous Galerkin time discretization
N. Parés, P. Díez and A. Huerta
CIMNE Internal Report, PI298, December 2006.
Published at Comp. Meth. Appl. Mech. Eng.. Vol 197, Issues 19-20, pp. 1641-1660,2008.
 
Bounds of functional outputs for parabolic problems. Part II: Bounds of the exact solution
N. Parés, P. Díez and A. Huerta
CIMNE Internal Report, PI299, January 2007.
Published at Comp. Meth. Appl. Mech. Eng.. Vol 197, Issues 19-20, pp. 1661-1679,2008.


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