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A stochastic computational multiscale approach; Application to MEMS resonators
16 references·8 citing·29 second hop
A stochastic computational multiscale approach; Application to MEMS resonators (2015)A stochastic computational multiscale app…Spectral Methods for Uncertainty Quantification (2010)Spectral Methods for Uncertai…Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (2010)Spectral methods for uncertai…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Statistical volume element method for predicting microstructure–constitutive property relations (2008)Statistical volume element me…Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators (2005)Non-Gaussian positive-definit…Random matrix theory for modeling uncertainties in computational mechanics (2004)Random matrix theory for mode…Maximum entropy approach for modeling random uncertainties in transient elastodynamics (2001)Maximum entropy approach for …Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Uncertainties in probabilisti…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…The stochastic finite element method in structural reliability (1988)The stochastic finite element…Response Variability Of Stochastic Finite Element Systems (1988)Response Variability Of Stoch…Neumann Expansion for Stochastic Finite Element Analysis (1988)Neumann Expansion for Stochas…The stochastic finite element method in structural reliability (1987)The stochastic finite element…Random Eigenvalue Problems in Structural Analysis (1972)Random Eigenvalue Problems in…Digital simulation of random processes and its applications (1972)Digital simulation of random …Simulation of Multivariate and Multidimensional Random Processes (1971)Simulation of Multivariate an…The effect of random field parameter uncertainty on the response variability of composite structures (2022)The effect of random field pa…Stochastic Constitutive Model of Isotropic Thin Fiber Networks Based on Stochastic Volume Elements (2019)Stochastic Constitutive Model…A Bayesian Framework to Identify Random Parameter Fields Based on the Copula Theorem and Gaussian Fields: Application to Polycrystalline Materials (2019)A Bayesian Framework to Ident…Two reduction methods for stochastic FEM based homogenization using global basis functions (2018)Two reduction methods for sto…Fuzzy‐stochastic FEM–based homogenization framework for materials with polymorphic uncertainties in the microstructure (2018)Fuzzy‐stochastic FEM–based ho…Propagation of material and surface profile uncertainties on MEMS micro‐resonators using a stochastic second‐order computational multi‐scale approach (2016)Propagation of material and s…A stochastic multi-scale approach for the modeling of thermo-elastic damping in micro-resonators (2016)A stochastic multi-scale appr…A computational stochastic multiscale methodology for MEMS structures involving adhesive contact (2016)A computational stochastic mu…Random Fields: Analysis and Synthesis (1983)Latin Hypercube Sampling for Stochastic Finite Element Analysis (2002)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Methods of structural safety (2006)Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Monte Carlo solution of structural dynamics (1972)Stochastic Finite Element Expansion for Random Media (1989)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Probability Concepts in Engineering Planning and Design (1975)Bayesian Updating with Structural Reliability Methods (2014)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Estimation of small failure probabilities in high dimensions by subset simulation (2001)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Non-Normal Dependent Vectors in Structural Safety (1981)Structural Reliability under Incomplete Probability Information (1986)Second‐Order Reliability Approximations (1987)Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients (2011)An Introduction to Computational Stochastic PDEs (2014)Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey (2020)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies (2014)Stochastic finite element methods for partial differential equations with random input data (2014)Simulation of Stationary Gaussian Processes in [0, 1]d (1994)Simulation of Ergodic Multivariate Stochastic Processes (1996)
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183 cited
  • 2008Statistical volume element method for predicting microstructure–constitutive property relations133 cited
  • Cited by

    • 2019Stochastic Constitutive Model of Isotropic Thin Fiber Networks Based on Stochastic Volume Elements35 cited
    • 2019A Bayesian Framework to Identify Random Parameter Fields Based on the Copula Theorem and Gaussian Fields: Application to Polycrystalline Materials20 cited
    • 2016A computational stochastic multiscale methodology for MEMS structures involving adhesive contact17 cited
    • 2018Fuzzy‐stochastic FEM–based homogenization framework for materials with polymorphic uncertainties in the microstructure16 cited
    • 2016A stochastic multi-scale approach for the modeling of thermo-elastic damping in micro-resonators15 cited
    • 2018Two reduction methods for stochastic FEM based homogenization using global basis functions15 cited
    • 2016Propagation of material and surface profile uncertainties on MEMS micro‐resonators using a stochastic second‐order computational multi‐scale approach13 cited
    • 2022The effect of random field parameter uncertainty on the response variability of composite structures11 cited