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Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation
10 references·16 citing·43 second hop
Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation (2002)Spectral Polynomial Chaos Solutions of th…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Stochastic Finite Elements with Multiple Random Non-Gaussian Properties (1999)Stochastic Finite Elements wi…Statistical Validation of Engineering and Scientific Models: Background (1999)Statistical Validation of Eng…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Stochastic Finite Element Expansion for Random Media (1989)Stochastic Finite Element Exp…Structural Response Variability II (1988)Structural Response Variabili…Structural Response Variability (1987)Structural Response Variabili…Finite element methods in probabilistic mechanics (1987)Finite element methods in pro…Probabilistic finite elements for nonlinear structural dynamics (1986)Probabilistic finite elements…Brownian motion and stochastic calculus (2017)Brownian motion and stochasti…Enhancing sparsity of Hermite polynomial expansions by iterative rotations (2015)Enhancing sparsity of Hermite…On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification (2014)On Discrete Least-Squares Pro…Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations (2013)Adaptive Discontinuous Galerk…Sampling-free linear Bayesian update of polynomial chaos representations (2012)Sampling-free linear Bayesian…Comput. Methods Appl. Mech. Engrg. (2010)Comput. Methods Appl. Mech. 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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 1989Stochastic Finite Element Expansion for Random Media512 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 1986Probabilistic finite elements for nonlinear structural dynamics396 cited
  • 1999Stochastic Finite Elements with Multiple Random Non-Gaussian Properties164 cited
  • 1988Structural Response Variability II130 cited
  • 1987Structural Response Variability128 cited
  • 1987Finite element methods in probabilistic mechanics127 cited
  • 1999Statistical Validation of Engineering and Scientific Models: Background102 cited

Cited by

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  • 2004Stochastic inverse heat conduction using a spectral approach83 cited
  • 2007QUANTIFYING UNCERTAINTY: MODERN COMPUTATIONAL REPRESENTATION OF PROBABILITY AND APPLICATIONS77 cited
  • 2012Sampling-free linear Bayesian update of polynomial chaos representations75 cited
  • 2003A Review of Recent Developments in the Numerical Solution of Stochastic Partial Differential Equations (Stochastic Finite Elements)

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70 cited
  • 2004Uncertainty Quantification with Stochastic Finite Elements70 cited
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  • 2014On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification33 cited
  • 2007A stochastic Lagrangian approach for geometrical uncertainties in electrostatics30 cited
  • 2007Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements24 cited
  • 2008Stochastic modeling of coupled electromechanical interaction for uncertainty quantification in electrostatically actuated MEMS23 cited
  • 2013Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations20 cited