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Effect of randomness on multi-frequency aeroelastic responses resolved by Unsteady Adaptive Stochastic Finite Elements
16 references·10 citing·32 second hop
Effect of randomness on multi-frequency aeroelastic responses resolved by Unsteady Adaptive Stochastic Finite Elements (2009)Effect of randomness on multi-frequency a…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…Uncertainty quantification of limit-cycle oscillations (2006)Uncertainty quantification of…Spectral and multiresolution Wiener expansions of oscillatory stochastic processes (2006)Spectral and multiresolution …Methods of structural safety (2006)Methods of structural safetyA Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations (2006)A Non-Intrusive Polynomial Ch…Stochastic Approaches to Uncertainty Quantification in CFD Simulations (2005)Stochastic Approaches to Unce…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…Uncertainty propagation using Wiener–Haar expansions (2004)Uncertainty propagation using…Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Multi-resolution analysis of …Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Galerkin Finite Element Appro…Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection (2003)Uncertainty quantification in…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Solution of stochastic partial differential equations using Galerkin finite element techniques (2001)Solution of stochastic partia…Direct incorporation of uncertainty in chemical and environmental engineering systems (1995)Direct incorporation of uncer…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Methods of structural safety (1987)Methods of structural safetyUncertainty analysis of mechanical dynamics by combining response surface method with signal decomposition technique (2021)Uncertainty analysis of mecha…Enforcing positivity in intrusive PC-UQ methods for reactive ODE systems (2014)Enforcing positivity in intru…Uncertainty Quantification of a Nonlinear Aeroelastic System Using Polynomial Chaos Expansion With Constant Phase Interpolation (2013)Uncertainty Quantification of…Refinement Criteria for Simplex Stochastic Collocation with Local Extremum Diminishing Robustness (2012)Refinement Criteria for Simpl…FRAMEWORK FOR CONVERGENCE AND VALIDATION OF STOCHASTIC UNCERTAINTY QUANTIFICATION AND RELATIONSHIP TO DETERMINISTIC VERIFICATION AND VALIDATION (2012)FRAMEWORK FOR CONVERGENCE AND…Simplex Elements Stochastic Collocation in Higher-Dimensional Probability Spaces (2010)Simplex Elements Stochastic C…Simplex Elements Stochastic Collocation for Uncertainty Propagation in Robust Design Optimization (2010)Simplex Elements Stochastic C…Potential problems with random parameters by the generalized perturbation-based stochastic finite element method (2010)Potential problems with rando…Higher Period Stochastic Bifurcation of Nonlinear Airfoil Fluid‐Structure Interaction (2009)Higher Period Stochastic Bifu…A TVD Uncertainty Quantification Method with Bounded Error Applied to Transonic Airfoil Flutter (2009)A TVD Uncertainty Quantificat…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)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Efficient Collocational Approach for Parametric Uncertainty Analysis (2007)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)The stochastic finite-element method (1980)Stochastic Differential Equations: An Introduction with Applications. (1987)Sparse grid collocation schemes for stochastic natural convection problems (2007)A non-adapted sparse approximation of PDEs with stochastic inputs (2011)Random vibration and statistical linearization (1990)Verification and Validation in Computational Science and Engineering (1998)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)An Introduction to Computational Stochastic PDEs (2014)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Uncertainty propagation in CFD using polynomial chaos decomposition (2006)The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications (2008)Stochastic finite element methods for partial differential equations with random input data (2014)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Optimization algorithms for structural reliability (1991)A New Study on Reliability-Based Design Optimization (1999)Reliability analysis—a review and some perspectives (2001)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)Multiple design points in first and second-order reliability (1998)Structural reliability analysis for implicit performance functions using artificial neural network (2004)Enriched Performance Measure Approach for Reliability-Based Design Optimization. (2005)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2006Methods of structural safety1,835 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations869 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2004Uncertainty propagation using Wiener–Haar expansions438 cited
  • 2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
  • 1987Methods of structural safety390 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • 2006A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations335 cited
  • 2003Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection333 cited
  • 2005Stochastic Approaches to Uncertainty Quantification in CFD Simulations281 cited
  • 1995Direct incorporation of uncertainty in chemical and environmental engineering systems147 cited

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  • 2006Uncertainty quantification of limit-cycle oscillations119 cited
  • 2006Spectral and multiresolution Wiener expansions of oscillatory stochastic processes94 cited
  • Cited by

    • 2009A TVD Uncertainty Quantification Method with Bounded Error Applied to Transonic Airfoil Flutter29 cited
    • 2012Refinement Criteria for Simplex Stochastic Collocation with Local Extremum Diminishing Robustness26 cited
    • 2021Uncertainty analysis of mechanical dynamics by combining response surface method with signal decomposition technique26 cited
    • 2012FRAMEWORK FOR CONVERGENCE AND VALIDATION OF STOCHASTIC UNCERTAINTY QUANTIFICATION AND RELATIONSHIP TO DETERMINISTIC VERIFICATION AND VALIDATION26 cited
    • 2010Potential problems with random parameters by the generalized perturbation-based stochastic finite element method25 cited
    • 2013Uncertainty Quantification of a Nonlinear Aeroelastic System Using Polynomial Chaos Expansion With Constant Phase Interpolation21 cited
    • 2010Simplex Elements Stochastic Collocation for Uncertainty Propagation in Robust Design Optimization20 cited
    • 2010Simplex Elements Stochastic Collocation in Higher-Dimensional Probability Spaces18 cited
    • 2009Higher Period Stochastic Bifurcation of Nonlinear Airfoil Fluid‐Structure Interaction18 cited
    • 2014Enforcing positivity in intrusive PC-UQ methods for reactive ODE systems15 cited