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Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements
9 references·3 citing·38 second hop
Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements (2007)Intrusive versus Non-Intrusive Methods fo…Stochastic Finite Elements (2009)Stochastic Finite ElementsApplication of the stochastic finite element method for Gaussian and non-Gaussian systems (2004)Application of the stochastic…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation (2002)Spectral Polynomial Chaos Sol…Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos (2002)Modeling uncertainty in stead…A Stochastic Projection Method for Fluid Flow (2002)A Stochastic Projection Metho…A Stochastic Projection Method for Fluid Flow (2001)A Stochastic Projection Metho…A new look at the response surface approach for reliability analysis (1993)A new look at the response su…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Intrusive generalized polynomial chaos with asynchronous time integration for the solution of the unsteady Navier–Stokes equations (2021)Intrusive generalized polynom…Global sensitivity analysis with a hierarchical sparse metamodeling method (2018)Global sensitivity analysis w…Robust optimization of a multiscale heterogeneous catalytic reactor system with spatially‐varying uncertainty descriptions using polynomial chaos expansions (2017)Robust optimization of a mult…Stochastic Finite Element Expansion for Random Media (1989)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Stochastic inverse heat conduction using a spectral approach (2004)QUANTIFYING UNCERTAINTY: MODERN COMPUTATIONAL REPRESENTATION OF PROBABILITY AND APPLICATIONS (2007)Stochastic finite elements: Computational approaches to stochastic partial differential equations (2008)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Analysis of Multiconductor Cables and Interconnects (2011)Piecewise polynomial chaos expansion with an application to brake squeal of a linear brake system (2012)Stochastic Modeling-Based Variability Analysis of On-Chip Interconnects (2012)Structural Reliability Analysis and Prediction (2017)Ingredients for a general purpose stochastic finite elements implementation (1999)Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection (2003)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Combustion kinetic model uncertainty quantification, propagation and minimization (2014)Exact and Invariant Second-Moment Code Format (1974)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)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)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Non-Gaussian simulation using Hermite polynomial expansion: convergences and algorithms (2002)Polynomial Chaos Decomposition for the Simulation of Non-Gaussian Nonstationary Stochastic Processes (2002)Stochastic Galerkin techniques for random ordinary differential equations (2012)Wave propagation in slowly varying waveguides using a finite element approach (2018)Effect and identification of parametric distributed uncertainties in longitudinal wave propagation (2021)Response Variability Of Stochastic Finite Element Systems (1988)Polynomial chaos expansion for sensitivity analysis (2008)Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design (2009)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1993A new look at the response surface approach for reliability analysis733 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2001A Stochastic Projection Method for Fluid Flow338 cited
  • 2009Stochastic Finite Elements113 cited
  • 2002Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation99 cited
  • 2004Application of the stochastic finite element method for Gaussian and non-Gaussian systems30 cited

Cited by

  • 2017Robust optimization of a multiscale heterogeneous catalytic reactor system with spatially‐varying uncertainty descriptions using polynomial chaos expansions15 cited
  • 2018Global sensitivity analysis with a hierarchical sparse metamodeling method14 cited
  • 2021Intrusive generalized polynomial chaos with asynchronous time integration for the solution of the unsteady Navier–Stokes equations12 cited

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