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Nonparametric Density Estimation for Randomly Perturbed Elliptic Problems I: Computational Methods, A Posteriori Analysis, and Adaptive Error Control
2 references·4 citing·20 second hop
Nonparametric Density Estimation for Randomly Perturbed Elliptic Problems I: Computational Methods, A Posteriori Analysis, and Adaptive Error Control (2009)Nonparametric Density Estimation for Rand…Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)Solving elliptic boundary val…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Error Decomposition and Adaptivity for Response Surface Approximations from PDEs with Parametric Uncertainty (2015)Error Decomposition and Adapt…Propagation of Uncertainties Using Improved Surrogate Models (2013)Propagation of Uncertainties …Stochastic computation based on orthogonal expansion of random fields (2011)Stochastic computation based …Nonparametric density estimation for randomly perturbed elliptic problems II: Applications and adaptive modeling (2009)Nonparametric density estimat…Fuzzy sets (1965)Fuzzy sets (1996)Karhunen–Loève approximation of random fields by generalized fast multipole methods (2006)Stochastic model reduction for chaos representations (2007)The Logic of Scientific Discovery (2013)Stochastic finite element methods for partial differential equations with random input data (2014)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Verification and Validation in Scientific Computing (2010)Enhancing adaptive sparse grid approximations and improving refinement strategies using adjoint-based a posteriori error estimates (2014)Goal-oriented adaptive surrogate construction for stochastic inversion (2018)Semi-intrusive uncertainty propagation for multiscale models (2019)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)The stochastic finite element method: Past, present and future (2008)Quasi-weak and weak formulation of stochastic finite elements on static and dynamic problems—a unifying framework (2011)On spectral fuzzy–stochastic FEM for problems involving polymorphic geometrical uncertainties (2019)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Spectral Methods for Uncertainty Quantification (2010)Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations (2020)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2004Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation345 cited

Cited by

  • 2009Nonparametric density estimation for randomly perturbed elliptic problems II: Applications and adaptive modeling21 cited
  • 2013Propagation of Uncertainties Using Improved Surrogate Models19 cited
  • 2015Error Decomposition and Adaptivity for Response Surface Approximations from PDEs with Parametric Uncertainty17 cited
  • 2011Stochastic computation based on orthogonal expansion of random fields15 cited

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