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Error estimation and model adaptation for a stochastic‐deterministic coupling method based on the Arlequin framework
7 references·1 citing·24 second hop
Error estimation and model adaptation for a stochastic‐deterministic coupling method based on the Arlequin framework (2013)Error estimation and model adaptation for…A stochastic-deterministic coupling method for continuum mechanics (2011)A stochastic-deterministic co…Localized modeling of uncertainty in the Arlequin framework (2010)Localized modeling of uncerta…A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations (2008)A stochastic coupling method …A multiscale stochastic finite element method on elliptic problems involving uncertainties (2007)A multiscale stochastic finit…Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty (2004)Theory and methodology for es…Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Galerkin Finite Element Appro…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…A coupling method for stochastic continuum models at different scales (2013)A coupling method for stochas…The stochastic finite element method: Past, present and future (2008)Asynchronous space–time domain decomposition method with localized uncertainty quantification (2017)A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities (2018)A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities (2018)Random vibration and statistical linearization (1990)Verification and Validation in Computational Science and Engineering (1998)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)An Introduction to Computational Stochastic PDEs (2014)Spectral Methods for Uncertainty Quantification (2010)Solution of stochastic partial differential equations using Galerkin finite element techniques (2001)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Multiscale Uncertainty Quantification Based on a Generalized Hidden Markov Model (2011)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Stochastic finite elements: Computational approaches to stochastic partial differential equations (2008)Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data (2010)Sampling-free linear Bayesian update of polynomial chaos representations (2012)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Uncertainty Quantification with Stochastic Finite Elements (2004)Generalized stochastic perturbation technique in engineering computations (2009)Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties (2019)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations869 cited
  • 2007A multiscale stochastic finite element method on elliptic problems involving uncertainties99 cited
  • 2004Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty70 cited
  • 2008A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations35 cited
  • 2011A stochastic-deterministic coupling method for continuum mechanics30 cited
  • 2010Localized modeling of uncertainty in the Arlequin framework14 cited

Cited by

  • 2013A coupling method for stochastic continuum models at different scales8 cited

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