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

An iterative polynomial chaos approach toward stochastic elastostatic structural analysis with non‐Gaussian randomness

(2019) Kamaljyoti Nath et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An iterative polynomial chaos approach for solution of structural mechanics problem with Gaussian material property

(2019) Kamaljyoti Nath et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A polynomial chaos expansion in dependent random variables

(2018) Sharif Rahman   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Mathematical Properties of Polynomial Dimensional Decomposition

(2018) Sharif Rahman   SIAM-ASA Journal on Uncertainty Quantification

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

(2018) Sharif Rahman   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Adaptive-sparse polynomial dimensional decomposition methods for high-dimensional stochastic computing

(2014) Vaibhav Yadav et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Independent Component Analysis to enhance performances of Karhunen–Loeve expansions for non-Gaussian stochastic processes: Application to uncertain systems

(2014) Mohammad Khalil et al.   JOURNAL OF SOUND AND VIBRATION

Approximation errors in truncated dimensional decompositions

(2014) Sharif Rahman   MATHEMATICS OF COMPUTATION

Reduced chaos expansions with random coefficientsin reduced-dimensional stochastic modeling of coupled problems

(2013) M. Arnst et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A reduced spectral function approach for the stochastic finite element analysis

(2011) S. Adhikari   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Adaptive sparse polynomial chaos expansion based on least angle regression

(2010) Géraud Blatman et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Reduced Chaos decomposition with random coefficients of vector-valued random variables and random fields

(2009) Christian Soize et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Discretization of 2D random fields: A genetic algorithm approach

(2009) Diego Lorenzo Allaix et al.   ENGINEERING STRUCTURES

Extended Polynomial Dimensional Decomposition for Arbitrary Probability Distributions

(2009) Sharif Rahman   JOURNAL OF ENGINEERING MECHANICS

A polynomial dimensional decomposition for stochastic computing

(2008) Sharif Rahman   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

(2008) F. Nobile et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS