Stochastic modeling and identification of an uncertain computational dynamical model with random fields properties and model uncertainties

DOI10.1007/s00419-012-0720-7zbMath1293.74223OpenAlexW2062446563MaRDI QIDQ398139

Christian Soize, Anas Batou

Publication date: 12 August 2014

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-00759467/file/publi-2012-Archive-of-Applied-Mechanics-batou-soize-preprint.pdf

zbMATH Keywords

structural dynamicsrandom fieldsmodel uncertaintiesnonparametric probabilistic approachhigh stochastic dimension

Mathematics Subject Classification ID

Random vibrations in dynamical problems in solid mechanics (74H50) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (2)

Epistemic uncertainty-based model validation via interval propagation and parameter calibration ⋮ Interval Identification of Structural Parameters Using Interval Deviation Degree and Monte Carlo Simulation

Cites Work

• Unnamed Item
• A Mathematical Theory of Communication
• Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems
• On the statistical dependence for the components of random elasticity tensors exhibiting material symmetry properties
• Identification of parametric models from experimental data. Transl. from an upd. French version by the authors, with the help of John Norton
• Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
• A probabilistic construction of model validation
• Identification of chaos representations of elastic properties of random media using experimental vibration tests
• A multiscale stochastic finite element method on elliptic problems involving uncertainties
• Statistical and computational inverse problems.
• Ingredients for a general purpose stochastic finite elements implementation
• Sparse grid collocation schemes for stochastic natural convection problems
• On the construction and analysis of stochastic models: characterization and propagation of the errors associated with limited data
• Modeling of random anisotropic elastic media and impact on wave propagation
• Information Theory and Statistical Mechanics
• Approximation Theorems of Mathematical Statistics
• Asymptotic Sampling Distribution for Polynomial Chaos Representation from Data: A Maximum Entropy and Fisher Information Approach
• Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
• Stochastic finite elements: Computational approaches to stochastic partial differential equations
• Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions
• Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
• Strain and stress computations in stochastic finite element methods
• Spectral Methods for Uncertainty Quantification
• Introduction to Stochastic Search and Optimization
• Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
• Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

This page was built for publication: Stochastic modeling and identification of an uncertain computational dynamical model with random fields properties and model uncertainties