Model verification in dynamics through strict upper error bounds

DOI10.1016/j.cma.2008.12.020zbMath1227.74027OpenAlexW4298086033MaRDI QIDQ649418

Julien Waeytens, Pierre Ladevèze

Publication date: 30 November 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2008.12.020

zbMATH Keywords

verificationupper bounddynamicserroroutput of interest

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Numerical and other methods in solid mechanics (74S99)

Related Items (11)

New bounding techniques for goal-oriented error estimation applied to linear problems ⋮ Modal-based goal-oriented error assessment for timeline-dependent quantities in transient dynamics ⋮ Guaranteed error bounds on pointwise quantities of interest for transient viscodynamics problems ⋮ A new non-intrusive technique for the construction of admissible stress fields in model verification ⋮ Error assessment in structural transient dynamics ⋮ Strict upper bounds of the error in calculated outputs of interest for plasticity problems ⋮ Computable bounds of functional outputs in linear visco-elastodynamics ⋮ Calculation of strict error bounds for finite element approximations of non-linear pointwise quantities of interest ⋮ A unified approach to strict upper and lower bounds of quantities in linear elasticity based on constitutive relation error estimation ⋮ Strict upper and lower bounds of quantities in linear second-order systems ⋮ \textit{A posteriori} error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems

Cites Work

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• The generalized finite element method

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