Adaptive reduced basis strategy for rare-event simulations
type: Item
instance of: scholarly article
title: Adaptive reduced basis strategy for rare-event simulations
zbMATH Open document ID: 1548.65019
author: L. Gallimard
published in: International Journal for Numerical Methods in Engineering
publication date: 2024-06-04T00:00:00Z
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 62G32
Mathematics Subject Classification ID: 62N05
zbMATH DE Number: 7859738
zbMATH Keywords: cross-entropy
zbMATH Keywords: error bounds
zbMATH Keywords: failure probability
zbMATH Keywords: finite element analysis
zbMATH Keywords: model reduction
zbMATH Keywords: rare-event simulations
zbMATH Keywords: reduced basis
zbMATH Keywords: structural reliability
MaRDI profile type: Publication
Wikidata QID: Q127756684
cites work: Error bounds for the reliability index in finite element reliability analysis
cites work: Coupling finite element and reliability analysis through proper generalized decomposition model reduction
cites work: Q4232767
cites work: Stochastic finite element: a non intrusive approach by regression
cites work: Multi-element stochastic reduced basis methods
cites work: A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient
cites work: Reduced basis techniques for stochastic problems
cites work: Reduced order models for random functions. Application to stochastic problems
cites work: Adaptive reduced basis strategy based on goal oriented error assessment for stochastic problems
cites work: Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences Using the Karhunen--Loève Expansion
cites work: Accurate and efficient evaluation of failure probability for partial different equations with random input data
cites work: Towards error bounds of the failure probability of elastic structures using reduced basis models
cites work: A study on the cross-entropy method for rare-event probability estimation
cites work: An efficient surrogate-based method for computing rare failure probability
cites work: Multifidelity Preconditioning of the Cross-Entropy Method for Rare Event Simulation and Failure Probability Estimation
cites work: Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error
cites work: A class of optimum importance sampling strategies
cites work: The cross-entropy method for combinatorial and continuous optimization
cites work: A tutorial on the cross-entropy method
cites work: Reduced basis approximation anda posteriori error estimation for stress intensity factors
cites work: Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
cites work: Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system
cites work: A posteriori pointwise upper bound error estimates in the finite element method
cites work: On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
cites work: Local error estimates of FEM for displacements and stresses in linear elasticity by solving local Neumann problems.
cites work: Practical methods fora posteriori error estimation in engineering applications
cites work: New bounding techniques for goal-oriented error estimation applied to linear problems
cites work: Output bounds for reduced-order approximations of elliptic partial differential equations
cites work: A fast, certified and ``tuning free'' two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems
cites work: A posteriori global error estimator based on the error in the constitutive relation for reduced basis approximation of parametrized linear elastic problems
cites work: A constitutive relation error estimator based on traction-free recovery of the equilibrated stress
cites work: Local estimation of the error in the von Mises' stress and L2‐norm of the stress for linear elasticity problems
DOI: 10.1002/NME.6135
description: scientific article; zbMATH DE number 7859738