A Hybrid Finite-Volume, Discontinuous Galerkin Discretization for the Radiative Transport Equation

Multiscale Modeling and Simulation ◽

10.1137/19m1304520 ◽

2021 ◽

Vol 19 (1) ◽

pp. 1-24

Author(s):

Vincent Heningburg ◽

Cory D. Hauck

Keyword(s):

Transport Equation ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Radiative Transport ◽

Galerkin Discretization ◽

Radiative Transport Equation

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Hybrid Discrete Ordinates Solver for the Radiative Transport Equation using Second Order Finite Volume and Discontinuous Galerkin

10.2172/1467230 ◽

2018 ◽

Author(s):

Vincent Heningburg

Keyword(s):

Transport Equation ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Second Order ◽

Discrete Ordinates ◽

Radiative Transport ◽

Radiative Transport Equation

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Simulation of light propagation in biological tissue using a modified finite volume method applied to three-dimensional radiative transport equation

10.1117/12.2183445 ◽

2015 ◽

Author(s):

Fatmir Asllanaj ◽

Sylvain Contassot-Vivier ◽

Andre Liemert ◽

Alwin Kienle

Keyword(s):

Transport Equation ◽

Finite Volume Method ◽

Finite Volume ◽

Biological Tissue ◽

Light Propagation ◽

Three Dimensional ◽

Radiative Transport ◽

Radiative Transport Equation ◽

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Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit

SIAM Journal on Numerical Analysis ◽

10.1137/090746938 ◽

2010 ◽

Vol 48 (1) ◽

pp. 53-78 ◽

Author(s):

Jean-Luc Guermond ◽

Guido Kanschat

Keyword(s):

Asymptotic Analysis ◽

Transport Equation ◽

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Radiative Transport ◽

Radiative Transport Equation ◽

Diffusive Limit

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Discontinuous Galerkin for the Radiative Transport Equation

Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-3-319-01818-8_7 ◽

2013 ◽

pp. 181-193 ◽

Author(s):

Jean-Luc Guermond ◽

Guido Kanschat ◽

Jean C. Ragusa

Keyword(s):

Transport Equation ◽

Discontinuous Galerkin ◽

Radiative Transport ◽

Radiative Transport Equation

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Simulation of light propagation in biological tissue using a modified finite volume method applied to three-dimensional radiative transport equation

Diffuse Optical Imaging V ◽

10.1364/ecbo.2015.95380i ◽

2015 ◽

Author(s):

Fatmir Asllanaj ◽

Sylvain Contassot-Vivier ◽

Andre Liemert ◽

Alwin Kienle

Keyword(s):

Transport Equation ◽

Finite Volume Method ◽

Finite Volume ◽

Biological Tissue ◽

Light Propagation ◽

Three Dimensional ◽

Radiative Transport ◽

Radiative Transport Equation ◽

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A pseudospectral method for solution of the radiative transport equation

Journal of Computational Physics ◽

10.1016/j.jcp.2019.01.024 ◽

2019 ◽

Vol 384 ◽

pp. 376-382 ◽

Author(s):

Samuel Powell ◽

Ben T. Cox ◽

Simon R. Arridge

Keyword(s):

Transport Equation ◽

Pseudospectral Method ◽

Radiative Transport ◽

Radiative Transport Equation

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Development and application of a simplified radiative transport equation in water curtain systems

Fire Safety Journal ◽

10.1016/j.firesaf.2017.11.002 ◽

2018 ◽

Vol 96 ◽

pp. 124-133 ◽

Author(s):

Woo Jun You ◽

Hong-Sun Ryou

Keyword(s):

Transport Equation ◽

Radiative Transport ◽

Water Curtain ◽

Radiative Transport Equation

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Fast linear solver for radiative transport equation with multiple right hand sides in diffuse optical tomography

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/j.jqsrt.2015.07.015 ◽

2015 ◽

Vol 167 ◽

pp. 10-22 ◽

Author(s):

Jingfei Jia ◽

Hyun K. Kim ◽

Andreas H. Hielscher

Keyword(s):

Transport Equation ◽

Optical Tomography ◽

Diffuse Optical Tomography ◽

Radiative Transport ◽

Linear Solver ◽

Radiative Transport Equation

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Comparison of three techniques for solving the radiative transport equation

10.2514/6.1973-751 ◽

1973 ◽

Author(s):

J. ROUX ◽

A. SMITH

Keyword(s):

Transport Equation ◽

Radiative Transport ◽

Radiative Transport Equation

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Singular eigenfunctions for the three-dimensional radiative transport equation

Journal of the Optical Society of America A ◽

10.1364/josaa.31.000067 ◽

2013 ◽

Vol 31 (1) ◽

pp. 67 ◽

Author(s):

Manabu Machida

Keyword(s):

Transport Equation ◽

Three Dimensional ◽

Radiative Transport ◽

Radiative Transport Equation

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