Evaluating high order discontinuous Galerkin discretization of the Boltzmann collision integral in <inline-formula><tex-math id="M1">\begin{document}$ \mathcal{O}(N^2) $\end{document}</tex-math></inline-formula> operations using the discrete fourier transform

Alexander Alekseenko;  ; Jeffrey Limbacher

doi:10.3934/krm.2019027

Evaluating high order discontinuous Galerkin discretization of the Boltzmann collision integral in \begin{document}$ \mathcal{O}(N^2) $\end{document} operations using the discrete fourier transform

Kinetic and Related Models ◽

10.3934/krm.2019027 ◽

2019 ◽

Vol 12 (4) ◽

pp. 703-726 ◽

Cited By ~ 2

Author(s):

Alexander Alekseenko ◽

◽

Jeffrey Limbacher

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Discontinuous Galerkin ◽

Collision Integral ◽

High Order ◽

Galerkin Discretization

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High-order unstructured grid generation and Discontinuous Galerkin discretization applied to a 3D high-lift configuration

53rd AIAA Aerospace Sciences Meeting ◽

10.2514/6.2015-0819 ◽

2015 ◽

Cited By ~ 6

Author(s):

Ralf Hartmann ◽

Tobias Leicht

Keyword(s):

Discontinuous Galerkin ◽

Unstructured Grid ◽

Grid Generation ◽

High Order ◽

High Lift ◽

Galerkin Discretization

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Experimental comparison of discrete Fourier transform-spread high-order quadrature amplitude modulation discrete multitone systems for optical interconnection

Optical Engineering ◽

10.1117/1.oe.58.7.076101 ◽

2019 ◽

Vol 58 (07) ◽

pp. 1

Author(s):

Jialin You ◽

Xinxing Wu ◽

Hailian He ◽

Qinghua Xiao ◽

Youxu Zeng ◽

...

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Amplitude Modulation ◽

Quadrature Amplitude Modulation ◽

High Order ◽

Experimental Comparison ◽

Optical Interconnection ◽

Discrete Multitone

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High-Order Discontinuous Galerkin Discretization of Transonic Turbulent Flows

47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2009-180 ◽

2009 ◽

Cited By ~ 12

Author(s):

Francesco Bassi ◽

Andrea Crivellini ◽

Antonio Ghidoni ◽

Stefano Rebay

Keyword(s):

Turbulent Flows ◽

Discontinuous Galerkin ◽

High Order ◽

Galerkin Discretization

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A High-Order Discontinuous Galerkin Discretization with Multiwavelet-Based Grid Adaptation for Compressible Flows

Journal of Scientific Computing ◽

10.1007/s10915-014-9846-9 ◽

2014 ◽

Vol 62 (1) ◽

pp. 25-52 ◽

Cited By ~ 22

Author(s):

Nils Gerhard ◽

Francesca Iacono ◽

Georg May ◽

Siegfried Müller ◽

Roland Schäfer

Keyword(s):

Discontinuous Galerkin ◽

Compressible Flows ◽

High Order ◽

Galerkin Discretization ◽

Grid Adaptation

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Modelling Traffic Flow with the Nonlinear LWR Scheme using the High Order Discontinuous Galerkin Discretization

10.20906/cps/cilamce2015-0232 ◽

2015 ◽

Author(s):

Alberto Costa Nogueira Junior ◽

Jonathan Bernardo ◽

Stephen Moore

Keyword(s):

Traffic Flow ◽

Discontinuous Galerkin ◽

High Order ◽

Galerkin Discretization

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Generation of unstructured curvilinear grids and high-order discontinuous Galerkin discretization applied to a 3D high-lift configuration

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4219 ◽

2016 ◽

Vol 82 (6) ◽

pp. 316-333 ◽

Cited By ~ 9

Author(s):

Ralf Hartmann ◽

Tobias Leicht

Keyword(s):

Discontinuous Galerkin ◽

High Order ◽

High Lift ◽

Galerkin Discretization ◽

Curvilinear Grids

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High-Order, Time-Dependent Aerodynamic Optimization using a Discontinuous Galerkin Discretization of the Navier-Stokes Equations

54th AIAA Aerospace Sciences Meeting ◽

10.2514/6.2016-0064 ◽

2016 ◽

Cited By ~ 1

Author(s):

Matthew J. Zahr ◽

Per-Olof Persson

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

High Order ◽

Time Dependent ◽

Navier Stokes ◽

Aerodynamic Optimization ◽

Navier Stokes Equations ◽

Galerkin Discretization ◽

High Order Time

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High-order discontinuous Galerkin discretization for flows with strong moving shocks

10.12681/eadd/28649 ◽

2012 ◽

Author(s):

Konstantinos Kontzialis

Keyword(s):

Discontinuous Galerkin ◽

High Order ◽

Galerkin Discretization

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On the Preconditioning of a Newton-Krylov Solver for a High-Order reconstructed Discontinuous Galerkin Discretization of All-Speed Compressible Flow with Phase Change for Application in Laser-Based Additive Manufacturing

10.2172/1361587 ◽

2017 ◽

Cited By ~ 1

Author(s):

Brian T. Weston

Keyword(s):

Additive Manufacturing ◽

Phase Change ◽

Compressible Flow ◽

Discontinuous Galerkin ◽

High Order ◽

Galerkin Discretization

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High-Order Space-Time Discontinuous Galerkin Discretization Using Tensor-Product Formulations

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-0156 ◽

2021 ◽

Author(s):

Sung-Hwan Yoon ◽

Dimitri Mavriplis

Keyword(s):

Tensor Product ◽

Discontinuous Galerkin ◽

Space Time ◽

High Order ◽

Galerkin Discretization

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