Construction of a probabilistic model for impedance matrices

DOI10.1016/j.cma.2006.12.001zbMath1173.74467OpenAlexW2016079822MaRDI QIDQ1033485

Christian Soize, Didier Clouteau, Régis Cottereau

Publication date: 6 November 2009

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

Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-00686151/file/publi-2007-CMAME-196_17-20_2252-2268-cottereau-clouteau-soize-preprint.pdf

zbMATH Keywords

unbounded domainsmodal identificationcomputational stochastic mechanicsimpedance matrixnonparametric probabilistic method

Mathematics Subject Classification ID

Related Items (6)

A non-parametric probabilistic model for soil-structure interaction ⋮ Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation ⋮ Fast \(r\)-adaptivity for multiple queries of heterogeneous stochastic material fields ⋮ Identification and sampling of Bayesian posteriors of high-dimensional symmetric positive-definite matrices for data-driven updating of computational models ⋮ Nonparametric probabilistic approach of uncertainties for elliptic boundary value problem ⋮ A modal strategy devoted to the hidden state variables method with large interfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Random matrix theory for modeling uncertainties in computational mechanics
• A parallel algorithm for discrete least squares rational approximation
• Numerical solution of problems on unbounded domains. A review
• A unified variational approach to domain-based computation of exterior problems of time-harmonic acoustics
• Orthogonal basis functions in discrete least-squares rational approximation.
• Generalizations of orthogonal polynomials
• Orthonormal polynomial vectors and least squares approximation for a discrete inner product
• Analytic continuation, singular-value expansions, and Kramers-Kronig analysis
• A UNIFIED MATRIX POLYNOMIAL APPROACH TO MODAL IDENTIFICATION
• Information Theory and Statistical Mechanics
• Errors in geotechnics and their impact on safety
• Frequency domain system identification with missing data
• Elastic wave propagation in a 3-D unbounded random heterogeneous medium coupled with a bounded medium. Application to seismic soil-structure interaction (SSSI)
• Numerically robust transfer function modeling from noisy frequency domain data

This page was built for publication: Construction of a probabilistic model for impedance matrices