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List of works by Pedro Diez

A flux-free a posteriori error estimator for the incompressible Stokes problem using a mixed FE formulation

A posteriori error estimation for standard finite element analysis

article by Pedro Diez et al published September 1998 in Computer Methods in Applied Mechanics and Engineering

A simple strategy to assess the error in the numerical wave number of the finite element solution of the Helmholtz equation

article by Lindaura Maria Steffens et al published March 2009 in Computer Methods in Applied Mechanics and Engineering

A unified approach to remeshing strategies for finite element h-adaptivity

Adaptive finite element strategies based on error assessment

scholarly article by Antonio Huerta et al published 10 December 1999 in International Journal for Numerical Methods in Engineering

Adaptive reduced basis strategy based on goal oriented error assessment for stochastic problems

Adaptivity based on error estimation for viscoplastic softening materials

Algebraic and Parametric Solvers for the Power Flow Problem: Towards Real-Time and Accuracy-Guaranteed Simulation of Electric Systems

scholarly article by Raquel García-Blanco et al published 25 April 2017 in Archives of Computational Methods in Engineering

An error estimator for real-time simulators based on model order reduction

An error estimator for separated representations of highly multidimensional models

Assembling sparse matrices in MATLAB

scholarly article by Sergio Zlotnik published in January 2010

Bounds for quantities of interest and adaptivity in the element-free Galerkin method

scholarly article by Yolanda Vidal et al published 10 December 2008 in International Journal for Numerical Methods in Engineering

Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization

Bounds of functional outputs for parabolic problems. Part II: Bounds of the exact solution

Computable bounds of functional outputs in linear visco-elastodynamics

Computable exact bounds for linear outputs from stabilized solutions of the advection-diffusion-reaction equation

article published in 2012

Effect of the separated approximation of input data in the accuracy of the resulting PGD solution

Encapsulated PGD Algebraic Toolbox Operating with High-Dimensional Data

scientific article published on 28 November 2019

Enrichissement des interpolations d'éléments finis en utilisant des méthodes sans maillage

Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error

article

Error Assessment in Structural Transient Dynamics

Error estimation for proper generalized decomposition solutions: Dual analysis and adaptivity for quantities of interest

scientific article published on 30 September 2020

Estimation of the dispersion error in the numerical wave number of standard and stabilized finite element approximations of the Helmholtz equation

Exact Bounds for Linear Outputs of the Advection-Diffusion-Reaction Equation Using Flux-Free Error Estimates

article

Goal-oriented error estimation for transient parabolic problems

Goal-oriented h-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies

article

Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution

Hierarchical X-FEM for n-phase flow

Modeling steel fiber reinforced concrete: numerical immersed boundary approach and a phenomenological mesomodel for concrete-fiber interaction

article published in 2011

Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena

Modelling Gravitational Instabilities: Slab Break–off and Rayleigh–Taylor Diapirism

article published in 2008

Nonintrusive parametric NVH study of a vehicle body structure

scientific article published in 2022

Numerical modeling of erosion using an improvement of the extended finite element method

Numerical modeling of the double punch test for plain concrete

Numerical modeling of undersea acoustics using a partition of unity method with plane waves enrichment

scholarly article by Raúl Hospital-Bravo et al published 19 January 2016 in Computational Mechanics

Numerical modelling of tectonic plates subduction using X-FEM

PROBABILISTIC ANALYSIS OF AN A POSTERIORI ERROR ESTIMATOR FOR FINITE ELEMENTS

Proper generalized decomposition of a geometrically parametrized heat problem with geophysical applications

Recovering lower bounds of the error by postprocessing implicit residuala posteriorierror estimates

article

Reduced order modeling for transient simulation of power systems using trajectory piece-wise linear approximation

article by Muhammad Haris Malik et al published December 2016 in Advanced modeling and simulation in engineering sciences

Remeshing criteria and proper error representations for goal oriented h-adaptivity

Simulation of tectonic plates subduction with a multi-phase X-FEM model: level set representation, functional enrichment and numerical integration

Streamline upwind/Petrov-Galerkin-based stabilization of proper generalized decompositions for high-dimensional advection-diffusion equations

Strict error bounds for linear and nonlinear solid mechanics problems using a patch-based flux-free method

Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method

Subdomain-based flux-free a posteriori error estimators

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