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Sequential Stochastic Response Surface Method Using Moving Least Squares-Based Sparse Grid Scheme for Efficient Reliability Analysis
16 references·2 citing·38 second hop
Sequential Stochastic Response Surface Method Using Moving Least Squares-Based Sparse Grid Scheme for Efficient Reliability Analysis (2017)Sequential Stochastic Response Surface Me…A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)A new surrogate modeling tech…Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)Adaptive-sparse polynomial ch…An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)An adaptive hierarchical spar…High-order limit state functions in the response surface method for structural reliability analysis (2007)High-order limit state functi…Reliability-based Structural Design (2006)Reliability-based Structural …Collocation-based stochastic finite element analysis for random field problems (2006)Collocation-based stochastic …Response surface augmented moment method for efficient reliability analysis (2005)Response surface augmented mo…Decomposition methods for structural reliability analysis (2005)Decomposition methods for str…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Comparison of finite element reliability methods (2002)Comparison of finite element …Reliability Assessment Using Stochastic Finite Element Analysis (2001)Reliability Assessment Using …Multiple design points in first and second-order reliability (1998)Multiple design points in fir…Response surface method using vector projected sampling points (1997)Response surface method using…Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Response Surface Methodology:…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Importance sampling in structural systems (1989)Importance sampling in struct…A copula-function-based structural system reliability analysis method (2022)A copula-function-based struc…Improved Moving Least Square-Based Multiple Dimension Decomposition (MDD) Technique for Structural Reliability Analysis (2020)Improved Moving Least Square-…Methods of structural safety (1987)Structural Reliability Methods (1996)First excursion probabilities for linear systems by very efficient importance sampling (2001)Important sampling in high dimensions (2002)Methods of structural safety (2006)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Method for Random Vibration of Hysteretic Systems (1976)An improvement of the response surface method (2011)Reliability analysis of structures by iterative improved response surface method (2016)Structural Reliability Analysis and Prediction (2017)Adaptive approaches in metamodel-based reliability analysis: A review (2020)Statistics for Experimenters (1979)Design and Analysis of Experiments (1998)Modeling and optimization I: Usability of response surface methodology (2006)Response surface methodology (2010)Response‐Surface Approach for Reliability Analysis (1989)A fast and efficient response surface approach for structural reliability problems (1990)A new look at the response surface approach for reliability analysis (1993)Monte Carlo techniques in computational stochastic mechanics (1998)A response surface method based on weighted regression for structural reliability analysis (2004)Stochastic Differential Equations: An Introduction with Applications. (1987)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)A non-adapted sparse approximation of PDEs with stochastic inputs (2011)Stochastic finite element methods for partial differential equations with random input data (2014)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)System reliability analysis by enhanced Monte Carlo simulation (2009)An efficient response surface method using moving least squares approximation for structural reliability analysis (2010)Time-dependent reliability analysis with joint upcrossing rates (2013)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Assessment of the efficiency of Kriging surrogate models for structural reliability analysis (2014)A new adaptive importance sampling scheme for reliability calculations (1999)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Metamodel-based importance sampling for structural reliability analysis (2013)An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)
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References

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  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 1989Importance sampling in structural systems604 cited
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  • 1997Response surface method using vector projected sampling points413 cited
  • 1998Multiple design points in first and second-order reliability385 cited
  • 2007High-order limit state functions in the response surface method for structural reliability analysis273 cited
  • 2002Comparison of finite element reliability methods258 cited
  • 2015A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry248 cited
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  • 2006Collocation-based stochastic finite element analysis for random field problems182 cited

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  • 2005Decomposition methods for structural reliability analysis159 cited
  • 2005Response surface augmented moment method for efficient reliability analysis151 cited
  • Cited by

    • 2020Improved Moving Least Square-Based Multiple Dimension Decomposition (MDD) Technique for Structural Reliability Analysis7 cited
    • 2022A copula-function-based structural system reliability analysis method7 cited