SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method
16 references·6 citing·38 second hop
Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method (2021)Uncertainty quantification of spatially u…Stochastic Finite Element Method (2021)Stochastic Finite Element Met…Practical Application of the Stochastic Finite Element Method (2014)Practical Application of the …The Stochastic Perturbation Method for Computational Mechanics (2013)The Stochastic Perturbation M…Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations (2009)Recent Developments in Spectr…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Generalized perturbation-based stochastic finite element method in elastostatics (2006)Generalized perturbation-base…A critical appraisal of reliability estimation procedures for high dimensions (2004)A critical appraisal of relia…Stochastic finite element analysis of shells with combined random material and geometric properties (2003)Stochastic finite element ana…Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation (1999)Parallel solution methods for…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Monte Carlo Treatment of Random Fields: A Broad Perspective (1998)Monte Carlo Treatment of Rand…Monte Carlo techniques in computational stochastic mechanics (1998)Monte Carlo techniques in com…Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation (1996)Robust and efficient methods …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…The stochastic finite element method in structural reliability (1987)The stochastic finite element…The stochastic finite-element method (1980)The stochastic finite-element…Multi-DORGP for fast uncertainty quantification of multi-scale irregular defects in super large-scale fiber-reinforced composite (2024)Multi-DORGP for fast uncertai…Stochastic isogeometric buckling analysis of composite shell considering multiple uncertainties (2022)Stochastic isogeometric buckl…Probabilistic failure analysis of quasi-isotropic CFRP structures utilizing the stochastic finite element and the Karhunen–Loève expansion methods (2022)Probabilistic failure analysi…Multiscale uncertainty propagation analysis and reliability optimization of the CFRP crossbeam of the twist beam axle (2022)Multiscale uncertainty propag…A predictive multiphase model of silica aerogels for building envelope insulations (2022)A predictive multiphase model…Six sigma robust optimization method based on a pseudo single-loop strategy and RFR-DBN with insufficient samples (2021)Six sigma robust optimization…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Reliability analysis—a review and some perspectives (2001)On Latin hypercube sampling for structural reliability analysis (2002)A survey on approaches for reliability-based optimization (2010)Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)MCMC algorithms for Subset Simulation (2015)Exact and Invariant Second-Moment Code Format (1974)Random field finite elements (1986)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Empirical Model Building and Response Surfaces (1988)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Neural-network-based reliability analysis: a comparative study (2001)A comparison of uncertainty and sensitivity analysis results obtained with random and Latin hypercube sampling (2004)Random Fields: Analysis and Synthesis (1983)Simulation of Stochastic Processes by Spectral Representation (1991)Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007)Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances (2011)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Stochastic Projection Method for Fluid Flow (2001)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Probability Concepts in Engineering Planning and Design (1975)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Methods of structural safety (2006)Bayesian Updating with Structural Reliability Methods (2014)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Dynamic response and reliability analysis of non-linear stochastic structures (2004)The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications (2015)Time-variant reliability assessment for multiple failure modes and temporal parameters (2018)An efficient Kriging based method for time-dependent reliability based robust design optimization via evolutionary algorithm (2020)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2008The stochastic finite element method: Past, present and future999 cited
  • 1980The stochastic finite-element method641 cited
  • 2004A critical appraisal of reliability estimation procedures for high dimensions476 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 1987The stochastic finite element method in structural reliability393 cited
  • 1998Monte Carlo techniques in computational stochastic mechanics308 cited
  • 2013The Stochastic Perturbation Method for Computational Mechanics266 cited
  • 1998Monte Carlo Treatment of Random Fields: A Broad Perspective225 cited
  • 1996Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation206 cited
  • 2009Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations181 cited
  • 2006Generalized perturbation-based stochastic finite element method in elastostatics164 cited
  • 2014Practical Application of the Stochastic Finite Element Method144 cited
  • 2003Stochastic finite element analysis of shells with combined random material and geometric properties142 cited
  • 1999

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

Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation
119 cited
  • 2021Stochastic Finite Element Method119 cited
  • Cited by

    • 2022Multiscale uncertainty propagation analysis and reliability optimization of the CFRP crossbeam of the twist beam axle31 cited
    • 2022Probabilistic failure analysis of quasi-isotropic CFRP structures utilizing the stochastic finite element and the Karhunen–Loève expansion methods26 cited
    • 2022Stochastic isogeometric buckling analysis of composite shell considering multiple uncertainties21 cited
    • 2024Multi-DORGP for fast uncertainty quantification of multi-scale irregular defects in super large-scale fiber-reinforced composite17 cited
    • 2021Six sigma robust optimization method based on a pseudo single-loop strategy and RFR-DBN with insufficient samples14 cited
    • 2022A predictive multiphase model of silica aerogels for building envelope insulations10 cited