polynomial dimensional decomposition Recently Published Documents

A polynomial dimensional decomposition-based method for robust topology optimization

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-021-03036-5 ◽

2021 ◽

Author(s):

Xuchun Ren ◽

Xiaodong Zhang

Keyword(s):

Topology Optimization ◽

Robust Topology Optimization ◽

Iterative Polynomial Dimensional Decomposition approach towards solution of structural mechanics problems with material randomness

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2021.103159 ◽

2021 ◽

pp. 103159

Author(s):

Kamaljyoti Nath ◽

Anjan Dutta ◽

Budhaditya Hazra

Keyword(s):

Structural Mechanics ◽

Decomposition Approach ◽

A polynomial dimensional decomposition framework based on topology derivatives for stochastic topology sensitivity analysis of high-dimensional complex systems and a type of benchmark problems

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2020.103104 ◽

2020 ◽

Vol 62 ◽

pp. 103104

Author(s):

Xuchun Ren

Keyword(s):

Sensitivity Analysis ◽

Complex Systems ◽

High Dimensional ◽

Benchmark Problems ◽

Adaptive sparse polynomial dimensional decomposition for derivative-based sensitivity

Journal of Computational Physics ◽

10.1016/j.jcp.2019.04.042 ◽

2019 ◽

Vol 391 ◽

pp. 303-321 ◽

Cited By ~ 1

Author(s):

Kunkun Tang ◽

Jonathan M. Wang ◽

Jonathan B. Freund

Keyword(s):

Sparse Polynomial ◽

Kriging-sparse Polynomial Dimensional Decomposition surrogate model with adaptive refinement

Journal of Computational Physics ◽

10.1016/j.jcp.2018.10.051 ◽

2019 ◽

Vol 380 ◽

pp. 212-242 ◽

Cited By ~ 3

Author(s):

Andrea F. Cortesi ◽

Ghina Jannoun ◽

Pietro M. Congedo

Keyword(s):

Surrogate Model ◽

Adaptive Refinement ◽

Sparse Polynomial ◽

Uncertainty quantification under dependent random variables by a generalized polynomial dimensional decomposition

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.09.026 ◽

2019 ◽

Vol 344 ◽

pp. 910-937 ◽

Cited By ~ 3

Author(s):

Sharif Rahman

Keyword(s):

Uncertainty Quantification ◽

Random Variables ◽

Dependent Random Variables ◽

Generalized Polynomial ◽

Statistical moment analysis of multi-degree of freedom dynamic system based on polynomial dimensional decomposition method

Nonlinear Dynamics ◽

10.1007/s11071-018-4303-1 ◽

2018 ◽

Vol 93 (4) ◽

pp. 2003-2018 ◽

Cited By ~ 8

Author(s):

Kuan Lu

Keyword(s):

Dynamic System ◽

Decomposition Method ◽

Statistical Moment ◽

Degree Of Freedom ◽

Moment Analysis ◽

Statistical Moment Analysis ◽

Proceedings of the 8th International Conference on Computational Stochastic Mechanics (CSM 8) ◽

A Polynomial Dimensional Decomposition for Dependent Random Variables

10.3850/9789811127243 ◽

2018 ◽

Author(s):

Sharif Rahman

Keyword(s):

Random Variables ◽

Dependent Random Variables ◽

Mathematical Properties of Polynomial Dimensional Decomposition

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/16m1109382 ◽

2018 ◽

Vol 6 (2) ◽

pp. 816-844 ◽

Cited By ~ 7

Author(s):

Sharif Rahman

Keyword(s):

Mathematical Properties ◽