SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
Uncertainty Quantification with Stochastic Finite Elements
16 references·13 citing·27 second hop
Uncertainty Quantification with Stochastic Finite Elements (2004)Uncertainty Quantification with Stochasti…Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…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…Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Galerkin methods for linear a…Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Galerkin Finite Element Appro…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…Introduction to the Theory of Random Processes (2002)Introduction to the Theory of…Solution of stochastic partial differential equations using Galerkin finite element techniques (2001)Solution of stochastic partia…Reliability Assessment Using Stochastic Finite Element Analysis (2001)Reliability Assessment Using …Stochastic Analysis (1997)Stochastic AnalysisA state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Stochastic Differential Equations (1972)Stochastic Differential Equat…Stochastic modelling of symmetric positive definite material tensors (2024)Stochastic modelling of symme…Stochastic multi-scale finite element based reliability analysis for laminated composite structures (2017)Stochastic multi-scale finite…Inverse Problems in a Bayesian Setting (2016)Inverse Problems in a Bayesia…Fokker–Planck linearization for non-Gaussian stochastic elastoplastic finite elements (2016)Fokker–Planck linearization f…UNCERTAINTY QUANTIFICATION FOR MAXWELL'S EQUATIONS USING STOCHASTIC COLLOCATION AND MODEL ORDER REDUCTION (2015)UNCERTAINTY QUANTIFICATION FO…Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format (2015)Polynomial Chaos Expansion of…Variational Theory and Computations in Stochastic Plasticity (2014)Variational Theory and Comput…Transient Response of Structural Dynamic Systems with Parametric Uncertainty (2013)Transient Response of Structu…Inverse problems and uncertainty quantification (2013)Inverse problems and uncertai…A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems (2013)A hybrid spectral and metamod…Variational formulations and functional approximation algorithms in stochastic plasticity of materials (2012)Variational formulations and …Acceleration of uncertainty updating in the description of transport processes in heterogeneous materials (2012)Acceleration of uncertainty u…Inelastic Media under Uncertainty: Stochastic Models and Computational Approaches (2008)Inelastic Media under Uncerta…Random vibration and statistical linearization (1990)Verification and Validation in Computational Science and Engineering (1998)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)An Introduction to Computational Stochastic PDEs (2014)Response Surfaces: Designs and Analyses (1997)Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)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)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)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)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)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)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)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)Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-form Approximation Approach (2002)Rational Momentum Effects (2002)The Statistical and Economic Role of Jumps in Continuous‐Time Interest Rate Models (2004)
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
  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 1997Stochastic Analysis1,035 cited
  • 1972Stochastic Differential Equations977 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
  • 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 2001Reliability Assessment Using Stochastic Finite Element Analysis472 cited
  • 2002Introduction to the Theory of Random Processes457 cited
  • 2004Uncertainty propagation using Wiener–Haar expansions438 cited
  • 1997A state-of-the-art report on computational stochastic mechanics

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

424 cited
  • 2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
  • Cited by

    • 2015Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format63 cited
    • 2017Stochastic multi-scale finite element based reliability analysis for laminated composite structures58 cited
    • 2016Inverse Problems in a Bayesian Setting53 cited
    • 2013Transient Response of Structural Dynamic Systems with Parametric Uncertainty38 cited
    • 2013A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems35 cited
    • 2015UNCERTAINTY QUANTIFICATION FOR MAXWELL'S EQUATIONS USING STOCHASTIC COLLOCATION AND MODEL ORDER REDUCTION31 cited
    • 2012Acceleration of uncertainty updating in the description of transport processes in heterogeneous materials27 cited
    • 2013Inverse problems and uncertainty quantification26 cited
    • 2016Fokker–Planck linearization for non-Gaussian stochastic elastoplastic finite elements18 cited
    • 2014Variational Theory and Computations in Stochastic Plasticity16 cited
    • 2024Stochastic modelling of symmetric positive definite material tensors12 cited
    • 2008Inelastic Media under Uncertainty: Stochastic Models and Computational Approaches11 cited
    • 2012Variational formulations and functional approximation algorithms in stochastic plasticity of materials11 cited