Efficient uncertainty quantification of large two-dimensional optical systems with a parallelized stochastic Galerkin method

Optics Express ◽

10.1364/oe.23.030833 ◽

2015 ◽

Vol 23 (24) ◽

pp. 30833 ◽

Author(s):

Z. Zubac ◽

J. Fostier ◽

D. De Zutter ◽

D. Vande Ginste

Keyword(s):

Galerkin Method ◽

Uncertainty Quantification ◽

Optical Systems ◽

Two Dimensional ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

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Scattering From Two-Dimensional Objects of Varying Shape Combining the Method of Moments With the Stochastic Galerkin Method

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2014.2330583 ◽

2014 ◽

Vol 62 (9) ◽

pp. 4852-4856 ◽

Author(s):

Zdravko Zubac ◽

Daniel De Zutter ◽

Dries Vande Ginste

Keyword(s):

Galerkin Method ◽

Method Of Moments ◽

Two Dimensional ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

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A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201200174 ◽

2013 ◽

Vol 94 (10) ◽

pp. 793-817 ◽

Author(s):

R. Bürger ◽

I. Kröker ◽

C. Rohde

Keyword(s):

Galerkin Method ◽

Uncertainty Quantification ◽

Conservation Law ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

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Scattering From Two-Dimensional Objects of Varying Shape Combining the Multilevel Fast Multipole Method (MLFMM) With the Stochastic Galerkin Method (SGM)

IEEE Antennas and Wireless Propagation Letters ◽

10.1109/lawp.2014.2333567 ◽

2014 ◽

Vol 13 ◽

pp. 1275-1278 ◽

Author(s):

Zdravko Zubac ◽

Daniel De Zutter ◽

Dries Vande Ginste

Keyword(s):

Galerkin Method ◽

Fast Multipole Method ◽

Two Dimensional ◽

Fast Multipole ◽

Stochastic Galerkin Method ◽

Multipole Method ◽

Stochastic Galerkin

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Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Two-Dimensional Shallow Water Equations

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110901 ◽

2021 ◽

pp. 110901

Author(s):

Dihan Dai ◽

Yekaterina Epshteyn ◽

Akil Narayan

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Shallow Water Equations ◽

Two Dimensional ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

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A Perturbative Stochastic Galerkin Method for the Uncertainty Quantification of Linear Circuits

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2020.2987470 ◽

2020 ◽

Vol 67 (9) ◽

pp. 2993-3006

Author(s):

Paolo Manfredi ◽

Riccardo Trinchero ◽

Dries Vande Ginste

Keyword(s):

Galerkin Method ◽

Uncertainty Quantification ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin ◽

Linear Circuits

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Intrusive Stochastic Galerkin Method Applied to Rotor Systems

10.26678/abcm.diname2019.din2019-0100 ◽

2019 ◽

Author(s):

Paulo Henrique Gonzaga ◽

Helio Fiori de Castro

Keyword(s):

Galerkin Method ◽

Rotor Systems ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

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A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty

Journal of Computational Physics ◽

10.1016/j.jcp.2017.05.027 ◽

2017 ◽

Vol 345 ◽

pp. 224-244 ◽

Author(s):

Kailiang Wu ◽

Huazhong Tang ◽

Dongbin Xiu

Keyword(s):

Galerkin Method ◽

Hyperbolic Systems ◽

Quasilinear Hyperbolic Systems ◽

First Order ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

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A Stochastic Galerkin Method for the Fokker–Planck–Landau Equation with Random Uncertainties

Theory, Numerics and Applications of Hyperbolic Problems II - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-91548-7_1 ◽

2018 ◽

pp. 1-19

Author(s):

Jingwei Hu ◽

Shi Jin ◽

Ruiwen Shu

Keyword(s):

Galerkin Method ◽

Landau Equation ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin ◽

Random Uncertainties ◽

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A stochastic Galerkin method for the Boltzmann equation with uncertainty

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.047 ◽

2016 ◽

Vol 315 ◽

pp. 150-168 ◽

Author(s):

Jingwei Hu ◽

Shi Jin

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Stochastic Galerkin Method ◽

The Boltzmann Equation ◽

Stochastic Galerkin

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Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method

Research in the Mathematical Sciences ◽

10.1186/s40687-017-0105-1 ◽

2017 ◽

Vol 4 (1) ◽

Author(s):

Shi Jin ◽

Jian-Guo Liu ◽

Zheng Ma

Keyword(s):

Galerkin Method ◽

Transport Equations ◽

Asymptotic Preserving ◽

Random Inputs ◽

Linear Transport ◽

Stochastic Galerkin Method ◽

Diffusive Regime ◽

Spectral Convergence ◽

Stochastic Galerkin

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