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Stochastic Finite Elements
16 references·16 citing·32 second hopsampled
Stochastic Finite Elements (2009)Stochastic Finite ElementsStructural Reliability Analysis and Prediction (2017)Structural Reliability Analys…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Stochastic Partial Differential Equations (2007)Stochastic Partial Differenti…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…An introduction to stochastic partial differential equations (2006)An introduction to stochastic…Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Galerkin methods for linear a…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos (2002)Modeling uncertainty in stead…Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Convergence study of the trun…Stochastic Analysis (1997)Stochastic AnalysisOptimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equat…Stochastic Finite Element Analysis of Simple Beams (1983)Stochastic Finite Element Ana…The stochastic finite-element method (1980)The stochastic finite-element…Simulation of Multivariate and Multidimensional Random Processes (1971)Simulation of Multivariate an…ON STATIONARY PROCESSES IN THE PLANE (1954)ON STATIONARY PROCESSES IN TH…Stochastic Harmonic Function Representation of Random Fields for Material Properties of Structures (2018)Stochastic Harmonic Function …Numerical solution of the Duffing equation with random coefficients (2015)Numerical solution of the Duf…Application of random eigenvalue analysis to assess bridge flutter probability (2015)Application of random eigenva…Uncertainty propagation of a multiscale poromechanics-hydration model for poroelastic properties of cement paste at early-age (2013)Uncertainty propagation of a …Uncertainty Assessment of Lossy and Dispersive Lines in SPICE-Type Environments (2013)Uncertainty Assessment of Los…Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities (2013)Fundamental limitations of po…Stochastic Modeling-Based Variability Analysis of On-Chip Interconnects (2012)Stochastic Modeling-Based Var…Piecewise polynomial chaos expansion with an application to brake squeal of a linear brake system (2012)Piecewise polynomial chaos ex…Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems (2012)Non-intrusive generalized pol…Multidimensional Adaptive Relevance Vector Machines for Uncertainty Quantification (2012)Multidimensional Adaptive Rel…Identification of Polynomial Chaos Representations in High Dimension from a Set of Realizations (2012)Identification of Polynomial …Stochastic Analysis of Multiconductor Cables and Interconnects (2011)Stochastic Analysis of Multic…Polynomial chaos-based parameter estimation methods applied to a vehicle system (2009)Polynomial chaos-based parame…Parameter estimation for mechanical systems via an explicit representation of uncertainty (2009)Parameter estimation for mech…A method for solving stochastic eigenvalue problems (2009)A method for solving stochast…Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements (2007)Intrusive versus Non-Intrusiv…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)Stochastic Finite Elements: A Spectral Approach (1991)Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Structural Reliability under Incomplete Probability Information (1986)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)The PHI2 method: a way to compute time-variant reliability (2003)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)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)Uncertainties in risk analysis: Six levels of treatment (1996)Reliability analysis—a review and some perspectives (2001)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Extending the Martingale Measure Stochastic Integral With Applications to Spatially Homogeneous S.P.D.E.'s (1999)Lattice Approximations for Stochastic Quasi-Linear Parabolic Partial Differential Equations driven by Space-Time White Noise II (1999)Monte Carlo solution of structural dynamics (1972)Simulation of Stationary Gaussian Processes in [0, 1]d (1994)An Introduction to Computational Stochastic PDEs (2014)Estimation Methods for Models of Spatial Interaction (1975)Statistical Analysis of Non-Lattice Data (1975)A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model (1999)A Nonparametric Model of Term Structure Dynamics and the Market Price of Interest Rate Risk (1997)The dynamics of stochastic volatility: evidence from underlying and options markets (2003)Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk (2012)Applications of Malliavin calculus to Monte Carlo methods in finance (1999)Stochastic Calculus with Respect to Gaussian Processes (2001)Stein’s method on Wiener chaos (2008)
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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1987Stochastic Differential Equations: An Introduction with Applications.3,963 cited
  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 2006An introduction to stochastic partial differential equations2,216 cited
  • 1954ON STATIONARY PROCESSES IN THE PLANE1,496 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 1997Stochastic Analysis1,035 cited
  • 2008The stochastic finite element method: Past, present and future999 cited
  • 1993Optimal Discretization of Random Fields728 cited
  • 1971Simulation of Multivariate and Multidimensional Random Processes659 cited
  • 1980The stochastic finite-element method641 cited
  • 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 2001Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes466 cited
  • 2007Stochastic Partial Differential Equations

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461 cited
  • 1983Stochastic Finite Element Analysis of Simple Beams439 cited
  • Cited by

    • 2011Stochastic Analysis of Multiconductor Cables and Interconnects114 cited
    • 2012Stochastic Modeling-Based Variability Analysis of On-Chip Interconnects96 cited
    • 2012Piecewise polynomial chaos expansion with an application to brake squeal of a linear brake system91 cited
    • 2013Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities70 cited
    • 2018Stochastic Harmonic Function Representation of Random Fields for Material Properties of Structures69 cited
    • 2013Uncertainty Assessment of Lossy and Dispersive Lines in SPICE-Type Environments56 cited
    • 2012Identification of Polynomial Chaos Representations in High Dimension from a Set of Realizations50 cited
    • 2012Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems45 cited
    • 2015Numerical solution of the Duffing equation with random coefficients43 cited
    • 2009Parameter estimation for mechanical systems via an explicit representation of uncertainty42 cited
    • 2009Polynomial chaos-based parameter estimation methods applied to a vehicle system34 cited
    • 2015Application of random eigenvalue analysis to assess bridge flutter probability34 cited
    • 2009A method for solving stochastic eigenvalue problems29 cited
    • 2012Multidimensional Adaptive Relevance Vector Machines for Uncertainty Quantification25 cited
    • 2013Uncertainty propagation of a multiscale poromechanics-hydration model for poroelastic properties of cement paste at early-age24 cited
    • 2007Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements24 cited