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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The analytical energy gradient scheme in the Gaussian based Hartree–Fock and density functional theory for two-dimensional systems using the fast multipole method

The Journal of Chemical Physics ◽

10.1063/1.1545778 ◽

2003 ◽

Vol 118 (13) ◽

pp. 5776-5792 ◽

Author(s):

Motoi Tobita ◽

So Hirata ◽

Rodney J. Bartlett

Keyword(s):

Density Functional Theory ◽

Density Functional ◽

Fast Multipole Method ◽

Two Dimensional ◽

Fast Multipole ◽

Functional Theory ◽

Hartree Fock ◽

Energy Gradient ◽

Multipole Method

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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 Wideband Fast Multipole Method for the two-dimensional complex Helmholtz equation

Computer Physics Communications ◽

10.1016/j.cpc.2010.09.010 ◽

2010 ◽

Vol 181 (12) ◽

pp. 2086-2090 ◽

Author(s):

Min Hyung Cho ◽

Wei Cai

Keyword(s):

Helmholtz Equation ◽

Fast Multipole Method ◽

Two Dimensional ◽

Fast Multipole ◽

Multipole Method

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411 A topology optimisation for two-dimensional elastodynamic problem with the level set method and the fast multipole method

The Proceedings of Conference of Tokai Branch ◽

10.1299/jsmetokai.2016.65._411-1_ ◽

2016 ◽

Vol 2016.65 (0) ◽

pp. _411-1_-_411-2_

Author(s):

Fumimasa ABE ◽

Hiroshi ISAKARI ◽

Ichi YSHIMITSU ◽

Toru TAKAHASHI ◽

Toshiro MATSUMOTO

Keyword(s):

Level Set Method ◽

Level Set ◽

Fast Multipole Method ◽

Topology Optimisation ◽

Two Dimensional ◽

Fast Multipole ◽

Elastodynamic Problem ◽

Multipole Method

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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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Acoustic Analogy Formulations Accelerated by Fast Multipole Method for Two-Dimensional Aeroacoustic Problems

AIAA Journal ◽

10.2514/1.j050338 ◽

2010 ◽

Vol 48 (10) ◽

pp. 2274-2285 ◽

Author(s):

William R. Wolf ◽

Sanjiva K. Lele

Keyword(s):

Fast Multipole Method ◽

Two Dimensional ◽

Acoustic Analogy ◽

Fast Multipole ◽

Multipole Method

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Revision of wFMM – A Wideband Fast Multipole Method for the two-dimensional complex Helmholtz equation

Computer Physics Communications ◽

10.1016/j.cpc.2011.09.012 ◽

2012 ◽

Vol 183 (2) ◽

pp. 446-447 ◽

Author(s):

Min Hyung Cho ◽

Wei Cai

Keyword(s):

Helmholtz Equation ◽

Fast Multipole Method ◽

Two Dimensional ◽

Fast Multipole ◽

Multipole Method

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On optimal convergence rates of a two-dimensional fast multipole method

Applied Mathematics Letters ◽

10.1016/j.aml.2017.08.005 ◽

2018 ◽

Vol 76 ◽

pp. 74-80 ◽

Author(s):

Shuhuang Xiang ◽

Guidong Liu

Keyword(s):

Convergence Rates ◽

Fast Multipole Method ◽

Two Dimensional ◽

Fast Multipole ◽

Optimal Convergence ◽

Multipole Method ◽

Optimal Convergence Rates

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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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Scattering from multiple objects buried beneath two-dimensional random rough surface using the steepest descent fast multipole method

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2003.811096 ◽

2003 ◽

Vol 51 (4) ◽

pp. 802-809 ◽

Author(s):

M. El-Shenawee

Keyword(s):

Rough Surface ◽

Fast Multipole Method ◽

Steepest Descent ◽

Two Dimensional ◽

Fast Multipole ◽

Multiple Objects ◽

Random Rough Surface ◽

Multipole Method

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