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ArticleProbabilistic models for stochastic elliptic partial differential equations

Mircea Dan Grigoriu2010

Article2010

Probabilistic models for stochastic elliptic partial differential equations

Mircea Dan Grigoriu

37 citations·0/0 files stored·Journal of Computational Physics

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Probabilistic and Robust Engineering Design Differential Equations and Boundary Problems Model Reduction and Neural Networks

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References

2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data 2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations 1984Extremes and related properties of random sequences and processes 2004Finite elements for elliptic problems with stochastic coefficients 2006Karhunen–Loève approximation of random fields by generalized fast multipole methods 2002Stochastic Calculus: Applications in Science and Engineering 1995Applied non-Gaussian processes : examples, theory, simulation, linear random vibration, and MATLAB solutions 2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications

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2020Bayesian identification and model comparison for random property fields derived from material microstructure 2023A spectral surrogate model for stochastic simulators computed from trajectory samples 2012A method for solving stochastic equations by reduced order models and local approximations 2022Stochastic analysis of structures under limited observations using kernel density estimation and arbitrary polynomial chaos expansion

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Year2010

Typearticle

Published2010-08-05

VenueJournal of Computational Physics

ISSN-L0021-9991

Languageen

Citations37

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.jcp.2010.07.023

openalex_workW2018464171

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2016

Microstructure Models and Material Response by Extreme Value Theory

20213rd-order Spectral Representation Method: Simulation of multi-dimensional random fields and ergodic multi-variate random processes with fast Fourier transform implementation

2022Independent component analysis-based arbitrary polynomial chaos method for stochastic analysis of structures under limited observations

2020Modeling non-Gaussian random fields of material properties in multiscale mechanics of materials