Browsing by Author "Díez, Pedro"
Now showing items 1-20 of 145
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A flux-free a posteriori error estimator for the incompressible Stokes problem using a mixed FE formulation
(2010-08-01)
Article
Open AccessIn this contribution, we present an a posteriori error estimator for the incompressible Stokes problem valid for a conventional mixed FE formulation. Due to the saddle-point property of the problem, conventional error ... -
A multiparametric advection-diffusion reduced-order model for molecular transport in scaffolds for osteoinduction
(Springer Nature, 2022-05-05)
Article
Open AccessScaffolds are microporous biocompatible structures that serve as material support for cells to proliferate, differentiate and form functional tissue. In particular, in the field of bone regeneration, insertion of scaffolds ... -
A new 3D equilibrated residual method improving accuracy and efficiency of flux-free error estimates
(John Wiley & sons, 2019-01-01)
Article
Open AccessThe paper presents a novel strategy providing fully computable upper bounds for the energy norm of the error in the context of three-dimensional linear finite element approximations of the reaction-diffusion equation. The ... -
A new equilibrated residual method improving accuracy and efficiency of flux-free error estimates
(2017-01-01)
Article
Open AccessThis 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 ... -
A non-intrusive proper generalized decomposition scheme with application in biomechanics
(John Wiley & Sons, 2017-09-07)
Article
Open AccessProper generalized decomposition (PGD) is often used for multiquery and fast-response simulations. It is a powerful tool alleviating the curse of dimensionality affecting multiparametric partial differential equations. ... -
A nonintrusive reduced order method for the NVH assessment and automotive structural dynamics
(2021)
Conference report
Restricted access - publisher's policyThe goal of this work is to develop a computational method able to optimize the design process of a car structure and provide a tool which can support designers during the decision-making phase. The design of a car ... -
A note on the convergence of the secant method for simple and multiple roots
(Elsevier, 2003-11)
Article
Open AccessThe secant method is one of the most popular methods for root finding. Standard text books in numerical analysis state that the secant method is super linear: the rate of convergence is set by the gold number. Never- theless, ... -
A numerical study on hydraulic fracturing problems via the proper generalized decomposition method
(2020-02-01)
Article
Open AccessThe hydraulic fracturing is a nonlinear, fluid-solid coupling and transient problem, in most cases it is always time-consuming to simulate this process numerically. In recent years, although many numerical methods were ... -
A posteriori error estimation for standard finite element analysis
(1998-09)
Article
Open AccessA new residual type estimator based on projections of the error on subspaces of locally-supported functions is presented. The estimator is defined by a standard element-by-element refinement. First, an approximation of the ... -
A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: Application to the hybridizable discontinuous Galerkin method
(2021-12-01)
Article
Open AccessWe present a general framework to compute upper and lower bounds for linear-functional outputs of the exact solutions of the Poisson equation based on reconstructions of the field variable and flux for both the primal and ... -
A Proper Generalized Decomposition (PGD) approach to crack propagation in brittle materials: with application to random field material properties
(Springer, 2020-02)
Article
Open AccessUnderstanding the failure of brittle heterogeneous materials is essential in many applications. Heterogeneities in materialproperties are frequently modeled through random fields, which typically induces the need to solve ... -
A real time solution reconstruction and material identification with data obtained from measures in combination with the proper generalized decomposition
(CIMNE, 2015)
Conference report
Open AccessSome industrial processes, such as polymer curing, require control algorithms in order to guarantee a certain level of quality for the components that are being processed. These control algorithms work in a real time ... -
A recovery-explicit error estimator in energy norm for linear elasticity
(2015-04-15)
Article
Open AccessSignificant research effort has been devoted to produce one-sided error estimates for Finite Element Analyses, in particular to provide upper bounds of the actual error. Typically, this has been achieved using residual-type ... -
A Reduced Order Modeling approach for optimal allocation of Distributed Generation in power distribution systems
(2016)
Conference report
Restricted access - publisher's policyThis paper presents an “offline-online” strategy for optimal allocation and sizing of Distributed Generation. In traditional optimization approaches, each function evaluation requires the solution of a power flow problem, ... -
A semi-analytical scheme for highly oscillatory integrals over tetrahedra
(John Wiley & Sons, 2017-08)
Article
Open AccessThis paper details a semi-analytical procedure to efficiently integrate the product of a smooth function and a complex exponential over tetrahedral elements. These highly oscillatory integrals appear at the core of different ... -
A simple strategy to assess the error in the numerical wave number of the finite element solution of the Helmholtz equation
(2009-03)
Article
Open AccessThe standard approach for goal oriented error estimation and adaptivity uses an error representation via an adjoint problem, based on the linear functional output representing the quantity of interest. For the assessment ... -
A stable XFEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers
(2013-11-02)
Article
Open AccessWhen applied to diffusion problems in a multi-phase setup, the popular extended finite element method (XFEM) strategy suffers from an inaccurate representation of the local fluxes in the vicinity of the interface. The XFEM ... -
A unified approach to remeshing strategies for finite element h-adaptativity
(1999-07)
Article
Open AccessIn h-adaptivity, a remeshing strategy is needed to compute the distribution of required element size using the estimated error distribution. Several authors have introduced different remeshing strategies yielding very ... -
Acciones térmicas en puentes de vigas de hormigón
(1990-01)
Article
Open AccessEn este artículo se presenta un estudio sobre la respuesta térmica de puentes de vigas frente a los efectos térmicos ambientales. La aplicación de una metodología general de obtención de las acciones térmicas que hay que ... -
Accuracy assessment of PGD-latin method for power flow problems in electric grids
(CIMNE, 2015)
Conference report
Open AccessA “Smart Grid” is an efficient management of the electricity that uses computer technology in order to achieve a safe and sustainable electricity supply. They promise to improve the efficiency of power grid systems through ...
