Nonlocal integral formulations of plasticity and damage: survey of progress

ZP Bažant, M Jirásek - Journal of engineering mechanics, 2002 - ascelibrary.org
Modeling of the evolution of distributed damage such as microcracking, void formation, and
softening frictional slip necessitates strain-softening constitutive models. The nonlocal …

[图书][B] Mastering calculations in linear and nonlinear mechanics

P Ladevèze, JP Pelle - 2005 - Springer
Mechanical engineering, an engineering discipline forged and shaped by the needs of the
industrial revolution, is once again asked to do its substantial share in the call for industrial …

[HTML][HTML] A review of VMS a posteriori error estimation with emphasis in fluid mechanics

G Hauke, D Irisarri - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
This article outlines the research on the application of the variational multiscale theory
(VMS) to a posteriori error estimation. VMS theory was initially developed by Professor …

Efficient unstructured quadrilateral mesh generation

J Sarrate, A Huerta - International journal for numerical …, 2000 - Wiley Online Library
This work is devoted to the description of an algorithm for automatic quadrilateral mesh
generation. The technique is based on a recursive decomposition of the domain into …

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

P Díez, A Huerta - Computer methods in applied mechanics and …, 1999 - Elsevier
In 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 …

Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery

OA González-Estrada, E Nadal, JJ Ródenas… - Computational …, 2014 - Springer
Goal-oriented error estimates (GOEE) have become popular tools to quantify and control the
local error in quantities of interest (QoI), which are often more pertinent than local errors in …

Adaptive finite element strategies based on error assessment

A Huerta, A Rodríguez‐Ferran, P Díez… - … Journal for Numerical …, 1999 - Wiley Online Library
Two main ingredients are needed for adaptive finite element computations. First, the error of
a given solution must be assessed, by means of either error estimators or error indicators …

The background of error estimation and adaptivity in finite element computations

OC Zienkiewicz - Computer Methods in Applied Mechanics and …, 2006 - Elsevier
The background of error estimation and adaptivity in finite element computations - ScienceDirect
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Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error

P Díez, J José Ródenas… - International journal for …, 2007 - Wiley Online Library
This paper introduces a new recovery‐type error estimator ensuring local equilibrium and
yielding a guaranteed upper bound of the error. The upper bound property requires the …

Accurate recovery-based upper error bounds for the extended finite element framework

JJ Ródenas, OA González-Estrada, P Díez… - Computer Methods in …, 2010 - Elsevier
This paper introduces a recovery-type error estimator yielding upper bounds of the error in
energy norm for linear elastic fracture mechanics problems solved using the extended finite …