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Fokker–Planck linearization for non-Gaussian stochastic elastoplastic finite elements
16 references·2 citing·27 second hop
Fokker–Planck linearization for non-Gaussian stochastic elastoplastic finite elements (2016)Fokker–Planck linearization for non-Gauss…Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (2010)Spectral methods for uncertai…Fast Numerical Methods for Stochastic Computations: A Review (2009)Fast Numerical Methods for St…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Galerkin methods for linear a…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …On solving elliptic stochastic partial differential equations (2002)On solving elliptic stochasti…Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme (2002)Implementation of Karhunen–Lo…Solution of stochastic partial differential equations using Galerkin finite element techniques (2001)Solution of stochastic partia…Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Uncertainties in probabilisti…A state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Numerical solution of spectral stochastic finite element systems (1996)Numerical solution of spectra…Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…The stochastic finite element method in structural reliability (1988)The stochastic finite element…The stochastic finite element method in structural reliability (1987)The stochastic finite element…Stochastic dynamic response analysis based on reduced dimension probability evolution equation under additive Gaussian white noise (2025)Stochastic dynamic response a…Experimental and numerical investigations of statistical size effect in S235JR steel structural elements (2019)Experimental and numerical in…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)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)Structural Reliability under Incomplete Probability Information (1986)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)The PHI2 method: a way to compute time-variant reliability (2003)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Non-Normal Dependent Vectors in Structural Safety (1981)Second‐Order Reliability Approximations (1987)Bayesian Updating with Structural Reliability Methods (2014)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies (2014)Stochastic finite element methods for partial differential equations with random input data (2014)On the convergence of generalized polynomial chaos expansions (2011)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)
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References

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  • 2002Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme279 cited
  • 2002On solving elliptic stochastic partial differential equations198 cited
  • Cited by

    • 2019Experimental and numerical investigations of statistical size effect in S235JR steel structural elements15 cited
    • 2025Stochastic dynamic response analysis based on reduced dimension probability evolution equation under additive Gaussian white noise13 cited