Sequential Stochastic Response Surface Method Using Moving Least Squares-Based Sparse Grid Scheme for Efficient Reliability Analysis

DOI10.1142/S0219876218400170OpenAlexW2770164694MaRDI QIDQ4966718

P. V. Sudhi Sharma, Arunasis Chakraborty, Amit Kumar Rathi

Publication date: 27 June 2019

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876218400170

zbMATH Keywords

sparse gridmoving least squaresHermite polynomialreliability analysispolynomial chaos expansion

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (2)

An Improvement of Probabilistic Feasible Region Method for Reliablity-Based Design Optimization ⋮ Improved Moving Least Square-Based Multiple Dimension Decomposition (MDD) Technique for Structural Reliability Analysis

Uses Software

• Matlab

Cites Work

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• Grid and basis adaptive polynomial chaos techniques for sensitivity and uncertainty analysis
• A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions
• Time-dependent reliability-based design optimization utilizing nonintrusive polynomial chaos
• Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems
• Hierarchical stochastic metamodels based on moving least squares and polynomial chaos expansion: application to the multiobjective reliability-based optimization of space truss structures
• Sparse grid quadrature in high dimensions with applications in finance and insurance
• An extended stochastic response surface method for random field problems
• A new surrogate modeling technique combining Kriging and polynomial chaos expansions - application to uncertainty analysis in computational dosimetry
• A method for numerical integration on an automatic computer
• An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations
• Reliability-based topology optimization using stochastic response surface method with sparse grid design
• Modeling uncertainty in flow simulations via generalized polynomial chaos.
• Hybrid uncertainty propagation in structural-acoustic systems based on the polynomial chaos expansion and dimension-wise analysis
• Computing expensive multivariate functions of fuzzy numbers using sparse grids
• High‐dimensional model representation for structural reliability analysis

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