A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/16m1055736 ◽

2016 ◽

Vol 4 (1) ◽

pp. 1398-1420 ◽

Author(s):

Jiahua Jiang ◽

Yanlai Chen ◽

Akil Narayan

Keyword(s):

Polynomial Chaos ◽

Reduced Basis ◽

Generalized Polynomial Chaos ◽

Reduced Basis Methods ◽

Generalized Polynomial ◽

Chaos Algorithm

Download Full-text

Hybrid Gauss Pseudospectral and Generalized Polynomial Chaos Algorithm to Solve Stochastic Trajectory Optimization Problems

AIAA Guidance, Navigation, and Control Conference ◽

10.2514/6.2011-6572 ◽

2011 ◽

Author(s):

Gerald Cottrill ◽

Frederick Harmon

Keyword(s):

Trajectory Optimization ◽

Polynomial Chaos ◽

Optimization Problems ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial ◽

Chaos Algorithm

Download Full-text

Hybrid Gauss Pseudospectral and Generalized Polynomial Chaos Algorithm to Solve Stochastic Optimal Control Problems

Control and Applications ◽

10.2316/p.2011.729-009 ◽

2011 ◽

Author(s):

Gerald C. Cottrill ◽

Frederick G. Harmon

Keyword(s):

Optimal Control ◽

Stochastic Optimal Control ◽

Polynomial Chaos ◽

Optimal Control Problems ◽

Control Problems ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial ◽

Chaos Algorithm

Download Full-text

Generalized Polynomial Chaos Based Stochastic Collocation on the Uncertainty Quantification of CMOS Active Filter Circuits

2019 11th International Conference on Electrical and Electronics Engineering (ELECO) ◽

10.23919/eleco47770.2019.8990660 ◽

2019 ◽

Author(s):

Mecit Emre Duman ◽

Onder Suvak

Keyword(s):

Uncertainty Quantification ◽

Polynomial Chaos ◽

Active Filter ◽

Stochastic Collocation ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial

Download Full-text

Bayesian Updates to Probabilistic Aircraft Models in Generalized Polynomial Chaos Form from Measured Data

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-1365 ◽

2021 ◽

Author(s):

Michael D. DeVore ◽

Jared Cooper ◽

Adam Reed

Keyword(s):

Polynomial Chaos ◽

Measured Data ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial

Download Full-text

Stochastic Modeling of Flow-Structure Interactions using Generalized Polynomial Chaos

10.21236/ada461832 ◽

2001 ◽

Author(s):

Dongbin Xiu ◽

Didier Lucor ◽

C. Su ◽

George E. Karniadakis

Keyword(s):

Flow Structure ◽

Stochastic Modeling ◽

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial

Download Full-text

Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos

10.21236/ada460658 ◽

2002 ◽

Author(s):

Dongbin Xiu ◽

George E. Karniadakis

Keyword(s):

Steady State ◽

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Modeling Uncertainty ◽

State Diffusion ◽

Generalized Polynomial ◽

Steady State Diffusion ◽

Diffusion Problems

Download Full-text

Cardiac Image Segmentation Using Generalized Polynomial Chaos Expansion and Level Set Function

Level Set Method in Medical Imaging Segmentation ◽

10.1201/b22435-9 ◽

2019 ◽

pp. 261-288

Author(s):

Yuncheng Du ◽

Dongping Du

Keyword(s):

Image Segmentation ◽

Level Set ◽

Polynomial Chaos ◽

Chaos Expansion ◽

Generalized Polynomial Chaos ◽

Cardiac Image ◽

Level Set Function ◽

Generalized Polynomial ◽

Set Function ◽

Cardiac Image Segmentation

Download Full-text

On Construction of Uncertain Material Parameter using Generalized Polynomial Chaos Expansion from Experimental Data

Procedia IUTAM ◽

10.1016/j.piutam.2013.01.001 ◽

2013 ◽

Vol 6 ◽

pp. 4-17 ◽

Author(s):

K. Sepahvand ◽

S. Marburg

Keyword(s):

Experimental Data ◽

Material Parameter ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial

Download Full-text

Generalized polynomial chaos-based estimation of human knee stiffness

2016 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI) ◽

10.1109/mfi.2016.7849547 ◽

2016 ◽

Author(s):

Markus Lueken ◽

Steffen Leonhardt ◽

Berno J.E. Misgeld

Keyword(s):

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Knee Stiffness ◽

Generalized Polynomial

Download Full-text

Generalized Polynomial Chaos for Non-intrusive Uncertainty Quantification in Computational Fluid Dynamics

Uncertainty Management for Robust Industrial Design in Aeronautics - Notes on Numerical Fluid Mechanics and Multidisciplinary Design ◽

10.1007/978-3-319-77767-2_8 ◽

2018 ◽

pp. 123-141

Author(s):

Vincent Couaillier ◽

Éric Savin

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Uncertainty Quantification ◽

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial

Download Full-text