Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering

Mathematics of Computation ◽

10.1090/mcom/3670 ◽

2021 ◽

pp. 1

Author(s):

Qiwei Sheng ◽

Cory D. Hauck

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Uniform Convergence ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Isotropic Scattering ◽

Discrete Ordinate ◽

Transfer Equations ◽

Radiative Transfer Equations

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A Spherical Harmonic Discontinuous Galerkin Method for Radiative Transfer Equations with Vacuum Boundary Conditions

Journal of Scientific Computing ◽

10.1007/s10915-021-01530-y ◽

2021 ◽

Vol 88 (1) ◽

Author(s):

Qiwei Sheng ◽

Cheng Wang

Keyword(s):

Radiative Transfer ◽

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Spherical Harmonic ◽

Transfer Equations ◽

Radiative Transfer Equations

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A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2020-0248 ◽

2021 ◽

Vol 30 (4) ◽

pp. 1009-1036

Author(s):

global sci

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transfer Equation ◽

Radiative Transfer Equation ◽

Sparse Grid ◽

Discrete Ordinate

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A Parallel Space-angle Discontinuous Galerkin Method for Radiative Transfer in Two-dimensional Rectangular Enclosures

2020 IEEE USNC-CNC-URSI North American Radio Science Meeting (Joint with AP-S Symposium) ◽

10.23919/usnc/ursi49741.2020.9321637 ◽

2020 ◽

Author(s):

H. Wang ◽

R. Abedi ◽

S. Mudaliar

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensional ◽

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A cascadic multigrid asymptotic-preserving discrete ordinate discontinuous streamline diffusion method for radiative transfer equations with diffusive scalings

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.08.002 ◽

2020 ◽

Vol 80 (6) ◽

pp. 1650-1667

Author(s):

Wenting Shao ◽

Qiwei Sheng ◽

Cheng Wang

Keyword(s):

Radiative Transfer ◽

Diffusion Method ◽

Discrete Ordinate ◽

Asymptotic Preserving ◽

Transfer Equations ◽

Cascadic Multigrid ◽

Streamline Diffusion ◽

Radiative Transfer Equations

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High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2019.07.010 ◽

2019 ◽

Vol 397 ◽

pp. 108811

Author(s):

Min Zhang ◽

Juan Cheng ◽

Jianxian Qiu

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

Triangular Meshes ◽

Positivity Preserving ◽

Transfer Equations ◽

Radiative Transfer Equations

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Efficient Radiative Transfer Equation Solver Using the Discontinuous Galerkin Method and the GPU

10th AIAA/ASME Joint Thermophysics and Heat Transfer Conference ◽

10.2514/6.2010-4316 ◽

2010 ◽

Author(s):

Xing He ◽

Rohit Jain ◽

Ramakanth Munipalli ◽

Laurent Pilon ◽

Ann Karagozian

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transfer Equation ◽

Radiative Transfer Equation

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A Discontinuous Galerkin Method for the Solution of One Dimensional Radiative Transfer Equation

2018 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium) ◽

10.1109/usnc-ursi.2018.8602580 ◽

2018 ◽

Author(s):

P.L. Clarke ◽

H. Wang ◽

J. Garrard ◽

R. Abedi ◽

S. Mudaliar

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transfer Equation ◽

Radiative Transfer Equation ◽

One Dimensional

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Space-angle discontinuous Galerkin method for radiative transfer between concentric cylinders

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/j.jqsrt.2020.107281 ◽

2020 ◽

Vol 257 ◽

pp. 107281

Author(s):

Hang Wang ◽

Reza Abedi ◽

Saba Mudaliar

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Concentric Cylinders ◽

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High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations

SIAM Journal on Scientific Computing ◽

10.1137/16m1061072 ◽

2016 ◽

Vol 38 (5) ◽

pp. A2987-A3019 ◽

Author(s):

Daming Yuan ◽

Juan Cheng ◽

Chi-Wang Shu

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Positivity Preserving ◽

Transfer Equations ◽

Radiative Transfer Equations

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An Iterative Phase-Space Explicit Discontinuous Galerkin Method for Stellar Radiative Transfer in Extended Atmospheres

10.2172/885868 ◽

2004 ◽

Author(s):

V.F. de Almeida

Keyword(s):

Phase Space ◽

Radiative Transfer ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method

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