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ERROR AND UNCERTAINTY QUANTIFICATION AND SENSITIVITY ANALYSIS IN MECHANICS COMPUTATIONAL MODELS
11 references·16 citing·36 second hop
ERROR AND UNCERTAINTY QUANTIFICATION AND SENSITIVITY ANALYSIS IN MECHANICS COMPUTATIONAL MODELS (2011)ERROR AND UNCERTAINTY QUANTIFICATION AND …Global Sensitivity Analysis. The Primer (2007)Global Sensitivity Analysis. …Validation and error estimation of computational models (2006)Validation and error estimati…Collocation-based stochastic finite element analysis for random field problems (2006)Collocation-based stochastic …Relative Entropy Based Method for Probabilistic Sensitivity Analysis in Engineering Design (2005)Relative Entropy Based Method…On solving elliptic stochastic partial differential equations (2002)On solving elliptic stochasti…Making best use of model evaluations to compute sensitivity indices (2002)Making best use of model eval…Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Global sensitivity indices fo…Probability, reliability and statistical methods in engineering design (1999)Probability, reliability and …Verification and Validation in Computational Science and Engineering (1998)Verification and Validation i…Sensitivity Analysis and the Expected Value of Perfect Information (1998)Sensitivity Analysis and the …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…A surrogate model for estimating uncertainty in marine riser fatigue damage resulting from vortex-induced vibration (2022)A surrogate model for estimat…Reliability measure approach for confidence-based design optimization under insufficient input data (2019)Reliability measure approach …Dynamic surrogate modeling approach for probabilistic creep-fatigue life evaluation of turbine disks (2019)Dynamic surrogate modeling ap…Finite Element Modellingand Simulations of Piezoelectric Actuators Responses with Uncertainty Quantification (2018)Finite Element Modellingand S…Uncertainty aggregation and reduction in structure–material performance prediction (2017)Uncertainty aggregation and r…Relative contributions of aleatory and epistemic uncertainty sources in time series prediction (2015)Relative contributions of ale…Performance evaluation of a manufacturing process under uncertainty using Bayesian networks (2015)Performance evaluation of a m…Multi-fidelity approach to dynamics model calibration (2015)Multi-fidelity approach to dy…Uncertainty quantification in performance evaluation of manufacturing processes (2014)Uncertainty quantification in…Stochastic Multidisciplinary Analysis Under Epistemic Uncertainty (2014)Stochastic Multidisciplinary …Analytical uncertainty quantification for modal frequencies with structural parameter uncertainty using a Gaussian process metamodel (2014)Analytical uncertainty quanti…Validation and Uncertainty Quantification of a Multiphase Computational Fluid Dynamics Model (2013)Validation and Uncertainty Qu…Uncertainty quantification of Delft catamaran resistance, sinkage and trim for variable Froude number and geometry using metamodels, quadrature and Karhunen–Loève expansion (2013)Uncertainty quantification of…UNCERTAINTY QUANTIFICATION IN DAMAGE MODELING OF HETEROGENEOUS MATERIALS (2013)UNCERTAINTY QUANTIFICATION IN…Applying uncertainty quantification to multiphase flow computational fluid dynamics (2013)Applying uncertainty quantifi…FRAMEWORK FOR CONVERGENCE AND VALIDATION OF STOCHASTIC UNCERTAINTY QUANTIFICATION AND RELATIONSHIP TO DETERMINISTIC VERIFICATION AND VALIDATION (2012)FRAMEWORK FOR CONVERGENCE AND…Statistics for Experimenters (1979)Factorial Sampling Plans for Preliminary Computational Experiments (1991)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)Handbook on Constructing Composite Indicators (2005)Reliability sensitivity analysis with random and interval variables (2009)Progressive Latin Hypercube Sampling: An efficient approach for robust sampling-based analysis of environmental models (2017)Structural Reliability Analysis and Prediction (2017)Distribution-based sensitivity analysis from a generic input-output sample (2018)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Stochastic Finite Elements (2009)Uncertainty quantification in natural frequencies and radiated acoustic power of composite plates: Analytical and experimental investigation (2014)Interval uncertainty analysis for static response of structures using radial basis functions (2019)Information Value Theory (1966)Probabilistic Sensitivity Analysis Using Monte Carlo Simulation (1985)Decision analysis and behavioral research (1986)A pilot study on the use of decision theory and value of information analysis as part of the NHS Health Technology Assessment programme (2004)Exploring Uncertainty in Cost-Effectiveness Analysis (2008)Estimating Multiparameter Partial Expected Value of Perfect Information from a Probabilistic Sensitivity Analysis Sample (2013)Stochastic Differential Equations: An Introduction with Applications. 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this work references cited by second hop

References

  • 2007Global Sensitivity Analysis. The Primer6,425 cited
  • 2001Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates6,377 cited
  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002Making best use of model evaluations to compute sensitivity indices2,225 cited
  • 1998Verification and Validation in Computational Science and Engineering2,153 cited
  • 1999Probability, reliability and statistical methods in engineering design1,377 cited
  • 1998Sensitivity Analysis and the Expected Value of Perfect Information327 cited
  • 2005Relative Entropy Based Method for Probabilistic Sensitivity Analysis in Engineering Design269 cited
  • 2002On solving elliptic stochastic partial differential equations198 cited
  • 2006Collocation-based stochastic finite element analysis for random field problems182 cited
  • 2006Validation and error estimation of computational models162 cited

Cited by

  • 2015Performance evaluation of a manufacturing process under uncertainty using Bayesian networks75 cited
  • 2014Analytical uncertainty quantification for modal frequencies with structural parameter uncertainty using a Gaussian process metamodel75 cited
  • 2019Dynamic surrogate modeling approach for probabilistic creep-fatigue life evaluation of turbine disks

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72 cited
  • 2015Multi-fidelity approach to dynamics model calibration50 cited
  • 2015Relative contributions of aleatory and epistemic uncertainty sources in time series prediction46 cited
  • 2013Applying uncertainty quantification to multiphase flow computational fluid dynamics44 cited
  • 2013Uncertainty quantification of Delft catamaran resistance, sinkage and trim for variable Froude number and geometry using metamodels, quadrature and Karhunen–Loève expansion43 cited
  • 2018Finite Element Modellingand Simulations of Piezoelectric Actuators Responses with Uncertainty Quantification38 cited
  • 2022A surrogate model for estimating uncertainty in marine riser fatigue damage resulting from vortex-induced vibration32 cited
  • 2019Reliability measure approach for confidence-based design optimization under insufficient input data31 cited
  • 2013Validation and Uncertainty Quantification of a Multiphase Computational Fluid Dynamics Model29 cited
  • 2014Uncertainty quantification in performance evaluation of manufacturing processes28 cited
  • 2012FRAMEWORK FOR CONVERGENCE AND VALIDATION OF STOCHASTIC UNCERTAINTY QUANTIFICATION AND RELATIONSHIP TO DETERMINISTIC VERIFICATION AND VALIDATION26 cited
  • 2017Uncertainty aggregation and reduction in structure–material performance prediction25 cited
  • 2013UNCERTAINTY QUANTIFICATION IN DAMAGE MODELING OF HETEROGENEOUS MATERIALS24 cited
  • 2014Stochastic Multidisciplinary Analysis Under Epistemic Uncertainty21 cited