Assessment of spectral representation and Karhunen-Loève expansion methods for the simulation of Gaussian stochastic fields

From MaRDI portal
Publication:1033503

DOI10.1016/j.cma.2007.01.009zbMath1173.65302OpenAlexW2081656419MaRDI QIDQ1033503

Manolis Papadrakakis, George Stefanou

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://doi.org/10.1016/j.cma.2007.01.009




Related Items (33)

Numerical analysis for time-dependent advection-diffusion problems with random discontinuous coefficientsThe Method of Separation: A Novel Approach for Accurate Estimation of Evolutionary Power SpectraEffective Generation of Compressed Stationary Gaussian FieldsA Chebyshev polynomial-based Galerkin method for the discretization of spatially varying random propertiesMachine learning aided stochastic elastoplastic analysisStochastic finite element analysis of structures in the presence of multiple imprecise random field parametersAn efficient forward propagation of multiple random fields using a stochastic Galerkin scaled boundary finite element methodRobust shape optimization of continuous structures via the level set methodKarhunen-Loève decomposition of random fields based on a hierarchical matrix approachPast, current and future trends and challenges in non-deterministic fracture mechanics: a reviewFull-field order-reduced Gaussian process emulators for nonlinear probabilistic mechanicsA novel algorithm for the stochastic analysis of electric field problems considering material and spatial uncertaintiesAn interval framework for uncertain frequency response of multi-cracked beams with application to vibration reduction via tuned mass dampersAccurate estimation of evolutionary power spectra for strongly narrow-band random fieldsNumerical methods for the discretization of random fields by means of the Karhunen-Loève expansionThe stochastic finite element method: past, present and futureStochastic meshfree method for elasto-plastic damage analysisA versatile technique for the optimal approximation of random processes by functional quantizationNumerical approximation of 2D Fredholm integral eigenvalue problems by orthogonal waveletsSpectral stochastic isogeometric analysis of free vibrationEffects of base flow uncertainty on Couette flow stabilityBuckling analysis of imperfect I-section beam-columns with stochastic shell finite elementsA Galerkin method with two-dimensional Haar basis functions for the computation of the Karhunen-Loève expansionUncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approachTurbulent wind field representation and conditional mean-field simulationEfficient high-dimensional material reliability analysis with explicit voxel-level stochastic microstructure representationAddressing the curse of dimensionality in SSFEM using the dependence of eigenvalues in KL expansion on domain sizeAn efficient stochastic framework to propagate the effect of the random solid-pore geometry of porous media on the pore-scale flowHybrid uncertain static analysis with random and interval fieldsSimulation of multi-dimensional random fields by Karhunen-Loève expansionHybrid uncertain natural frequency analysis for structures with random and interval fieldsRisk-averse structural topology optimization under random fields using stochastic expansion methodsSpectral stochastic isogeometric analysis of linear elasticity



Cites Work


This page was built for publication: Assessment of spectral representation and Karhunen-Loève expansion methods for the simulation of Gaussian stochastic fields