Improved Moving Least Square-Based Multiple Dimension Decomposition (MDD) Technique for Structural Reliability Analysis

DOI10.1142/S0219876220500243OpenAlexW3037815379MaRDI QIDQ4987340

Arunasis Chakraborty, Amit Kumar Rathi

Publication date: 3 May 2021

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

Full work available at URL: https://doi.org/10.1142/s0219876220500243

zbMATH Keywords

reliability analysishigh-dimensional model representationmoving least squarepolynomial dimension decompositionsequential sparse grid

Mathematics Subject Classification ID

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

Uses Software

• DACE
• GUI-HDMR

Cites Work

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• Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions
• Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis
• Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions
• 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
• An adaptive dimension decomposition and reselection method for reliability analysis
• Adaptive-sparse polynomial dimensional decomposition methods for high-dimensional stochastic computing
• Reproducing kernel technique for high dimensional model representations (HDMR)
• A stochastic mixed finite element heterogeneous multiscale method for flow in porous media
• A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid
• High dimensional model representation for stochastic finite element analysis
• An approximation method to model multivariate interpolation problems: indexing HDMR
• Hybrid high dimensional model representation for reliability analysis
• A method for numerical integration on an automatic computer
• An introduction to copulas.
• Multi-element probabilistic collocation method in high dimensions
• An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations
• General foundations of high-dimensional model representations
• An efficient meshless method for fracture analysis of cracks
• Efficient input-output model representations
• Modeling uncertainty in flow simulations via generalized polynomial chaos.
• A self-consistent high dimensional modelling based decomposition approach for univariate linear integral operators: tridiagonal kernel enhanced multivariance products representation (TKEMPR)
• Stochastic sensitivity analysis using HDMR and score function
• A new methodology based on covariance and HDMR for global sensitivity analysis
• High dimensional kriging metamodelling utilising gradient information
• Numerical methods for high-dimensional probability density function equations
• Computing expensive multivariate functions of fuzzy numbers using sparse grids
• Kriging metamodeling for approximation of high-dimensional wave and surge responses in real-time storm/hurricane risk assessment
• A univariate approximation at most probable point for higher-order reliability analysis
• Hybrid high dimensional model representation (HHDMR) on the partitioned data
• Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems
• High dimensional model representation for piece‐wise continuous function approximation
• Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform
• Enhanced high-dimensional model representation for reliability analysis
• High‐dimensional model representation for structural reliability analysis
• Spectral Methods for Uncertainty Quantification
• HDMR-Based Model Update in Structural Damage Identification
• Sequential Stochastic Response Surface Method Using Moving Least Squares-Based Sparse Grid Scheme for Efficient Reliability Analysis
• A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics
• Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates
• Efficient implementation of high dimensional model representations

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