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Random field simulation over curved surfaces: Applications to computational structural mechanics
16 references·12 citing·31 second hop
Random field simulation over curved surfaces: Applications to computational structural mechanics (2018)Random field simulation over curved surfa…Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Numerical methods for the dis…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Karhunen–Loève approximation of random fields by generalized fast multipole methods (2006)Karhunen–Loève approximation …Finite elements for elliptic problems with stochastic coefficients (2004)Finite elements for elliptic …Simulation of Stationary Non-Gaussian Translation Processes (1998)Simulation of Stationary Non-…Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Uncertainties in probabilisti…Simulation of Multi-Dimensional Gaussian Stochastic Fields by Spectral Representation (1996)Simulation of Multi-Dimension…Orthogonal Series Expansions of Random Fields in Reliability Analysis (1994)Orthogonal Series Expansions …Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…The stochastic finite element method in structural reliability (1988)The stochastic finite element…Digital Generation of Non‐Gaussian Stochastic Fields (1988)Digital Generation of Non‐Gau…The stochastic finite element method in structural reliability (1987)The stochastic finite element…Random field finite elements (1986)Random field finite elementsStochastic Finite Element Analysis of Simple Beams (1983)Stochastic Finite Element Ana…Stochastic modeling of periodic beams under uncertain boundary conditions and environmental fluctuations (2024)Stochastic modeling of period…Description of the spatial variability of concrete via composite random field and failure analysis of chimney (2024)Description of the spatial va…Stochastic analysis and reliability assessment of critical RC structural components considering material properties uncertainty (2023)Stochastic analysis and relia…Three‐stage non‐Gaussian homogeneous random field representation over manifolds (2022)Three‐stage non‐Gaussian homo…Stochastic modeling of geometrical uncertainties on complex domains, with application to additive manufacturing and brain interface geometries (2021)Stochastic modeling of geomet…Stochastic Modeling and identification of material parameters on structures produced by additive manufacturing (2021)Stochastic Modeling and ident…Stochastic dynamic stiffness for damped taut membranes (2021)Stochastic dynamic stiffness …Random fields representation over manifolds via isometric feature mapping‐based dimension reduction (2021)Random fields representation …Efficient stochastic finite element analysis of irregular wall structures with inelastic random field properties over manifold (2021)Efficient stochastic finite e…Buckling Sensitivity of Tow-Steered Plates Subjected to Multiscale Defects by High-Order Finite Elements and Polynomial Chaos Expansion (2021)Buckling Sensitivity of Tow-S…Multilevel Monte Carlo simulations of composite structures with uncertain manufacturing defects (2020)Multilevel Monte Carlo simula…Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains (2019)Stochastic multiscale modelin…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification (2009)Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design (2009)ON STATIONARY PROCESSES IN THE PLANE (1954)Fractional Brownian Motions, Fractional Noises and Applications (1968)Maximum entropy approach for modeling random uncertainties in transient elastodynamics (2001)Structural Reliability under Incomplete Probability Information (1986)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)The PHI2 method: a way to compute time-variant reliability (2003)Probabilistic Theory of Structural Dynamics (1976)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Probability Concepts in Engineering Planning and Design (1975)Random Fields: Analysis and Synthesis (1983)Methods of structural safety (2006)Bayesian Updating with Structural Reliability Methods (2014)Estimation of small failure probabilities in high dimensions by subset simulation (2001)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)Second‐Order Reliability Approximations (1987)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Improvements to and limitations of Latin hypercube sampling (1998)Simulation of Highly Skewed Non-Gaussian Stochastic Processes (2001)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Simulation of Ergodic Multivariate Stochastic Processes (1996)Fast Numerical Methods for Stochastic Computations: A Review 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  • 1998Simulation of Stationary Non-Gaussian Translation Processes

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303 cited
  • 1994Orthogonal Series Expansions of Random Fields in Reliability Analysis265 cited
  • Cited by

    • 2021Random fields representation over manifolds via isometric feature mapping‐based dimension reduction34 cited
    • 2020Multilevel Monte Carlo simulations of composite structures with uncertain manufacturing defects34 cited
    • 2021Buckling Sensitivity of Tow-Steered Plates Subjected to Multiscale Defects by High-Order Finite Elements and Polynomial Chaos Expansion32 cited
    • 2021Efficient stochastic finite element analysis of irregular wall structures with inelastic random field properties over manifold29 cited
    • 2021Stochastic modeling of geometrical uncertainties on complex domains, with application to additive manufacturing and brain interface geometries25 cited
    • 2019Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains20 cited
    • 2021Stochastic Modeling and identification of material parameters on structures produced by additive manufacturing19 cited
    • 2021Stochastic dynamic stiffness for damped taut membranes14 cited
    • 2023Stochastic analysis and reliability assessment of critical RC structural components considering material properties uncertainty12 cited
    • 2022Three‐stage non‐Gaussian homogeneous random field representation over manifolds11 cited
    • 2024Stochastic modeling of periodic beams under uncertain boundary conditions and environmental fluctuations11 cited
    • 2024Description of the spatial variability of concrete via composite random field and failure analysis of chimney10 cited