Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

Accelerating Monte Carlo estimation with derivatives of high-level finite element models

14 references·10 citing·38 second hop

FromToDepth

this work references cited by second hop

References

2001Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates6,377 cited
1991Stochastic Finite Elements: A Spectral Approach5,753 cited
2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
2008Multilevel Monte Carlo Path Simulation1,436 cited
2008The stochastic finite element method: Past, present and future999 cited
2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
2011Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients490 cited
2004Finite elements for elliptic problems with stochastic coefficients364 cited
2015Chaospy: An open source tool for designing methods of uncertainty quantification336 cited
2011Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients296 cited
2000Variance Reduction Techniques for Estimating Value-at-Risk217 cited
2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited
2013Adaptive stochastic Galerkin FEM111 cited
2008Stochastic finite elements: Computational approaches to stochastic partial differential equations98 cited

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

Cited by

2019Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties48 cited
2021Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method36 cited
2023Uncertainty quantification of mechanical property of piezoelectric materials based on isogeometric stochastic FEM with generalized nth-order perturbation33 cited
2020An nth high order perturbation-based stochastic isogeometric method and implementation for quantifying geometric uncertainty in shell structures31 cited
2022Probabilistic failure analysis of quasi-isotropic CFRP structures utilizing the stochastic finite element and the Karhunen–Loève expansion methods26 cited
2017A generalized probabilistic edge-based smoothed finite element method for elastostatic analysis of Reissner–Mindlin plates23 cited
2020A new stochastic isogeometric analysis method based on reduced basis vectors for engineering structures with random field uncertainties20 cited
2018Projection methods for stochastic dynamic systems: A frequency domain approach16 cited
2019Damage tolerance reliability analysis combining Kriging regression and support vector machine classification15 cited
2017Calculating the Malliavin derivative of some stochastic mechanics problems14 cited