<mml:math altimg="si83.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>h</mml:mi><mml:mi>p</mml:mi></mml:math>-adaptive discontinuous Galerkin methods for simplified <mml:math altimg="si84.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mstyle mathvariant="normal"><mml:mi>P</mml:mi></mml:mstyle></mml:mrow><mml:mrow><mml:mstyle mathvariant="normal"><mml:mi>N</mml:mi></mml:mstyle></mml:mrow></mml:msub></mml:math> approximations of frequency-dependent radiative transfer

Discontinuous Galerkin methods for the radiative transfer equation and its approximations

10.17077/etd.aswwh5rv ◽

2011 ◽

Cited By ~ 1

Author(s):

Joseph A. Eichholz

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

Transfer Equation ◽

Discontinuous Galerkin Methods ◽

Radiative Transfer Equation ◽

Galerkin Methods

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Multi-hp adaptive discontinuous Galerkin methods for simplified P approximations of 3D radiative transfer in non-gray media

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.09.018 ◽

2020 ◽

Vol 150 ◽

pp. 252-273

Author(s):

Stefano Giani ◽

Mohammed Seaid

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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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 ◽

Cited By ~ 9

Author(s):

Daming Yuan ◽

Juan Cheng ◽

Chi-Wang Shu

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Galerkin Methods ◽

Positivity Preserving ◽

Transfer Equations ◽

Radiative Transfer Equations

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Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations

Journal of Scientific Computing ◽

10.1007/s10915-018-0700-3 ◽

2018 ◽

Vol 77 (3) ◽

pp. 1801-1831 ◽

Cited By ~ 1

Author(s):

Dan Ling ◽

Juan Cheng ◽

Chi-Wang Shu

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Galerkin Methods ◽

Positivity Preserving ◽

Transfer Equations ◽

Radiative Transfer Equations

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Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation

SIAM Journal on Scientific Computing ◽

10.1137/090767340 ◽

2010 ◽

Vol 32 (2) ◽

pp. 477-497 ◽

Cited By ~ 30

Author(s):

Weimin Han ◽

Jianguo Huang ◽

Joseph A. Eichholz

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

Transfer Equation ◽

Discontinuous Galerkin Methods ◽

Radiative Transfer Equation ◽

Galerkin Methods ◽

Discrete Ordinate

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Device Modeling Using Discontinuous Galerkin Methods for Fluid Plasmas

40th AIAA Plasmadynamics and Lasers Conference ◽

10.2514/6.2009-3834 ◽

2009 ◽

Author(s):

John Loverich ◽

Ammar Hakim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Device Modeling ◽

Galerkin Methods

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Regionally implicit discontinuous Galerkin methods for solving the relativistic Vlasov-Maxwell system

10.31274/etd-180810-5144 ◽

2017 ◽

Author(s):

Pierson Guthrey

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Maxwell System

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A Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-01007-z ◽

2019 ◽

Vol 80 (3) ◽

pp. 1936-1956 ◽

Cited By ~ 3

Author(s):

Ali Samii ◽

Kazbek Kazhyken ◽

Craig Michoski ◽

Clint Dawson

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Hybridizable Discontinuous Galerkin ◽

Nonlinear Shallow Water Equations ◽

Hybridizable Discontinuous Galerkin Methods

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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251403004x ◽

2014 ◽

Vol 54 (3) ◽

pp. 474-490 ◽

Cited By ~ 5

Author(s):

R. Z. Dautov ◽

E. M. Fedotov

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Abstract Theory ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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Local-Maximum-and-Minimum-Preserving Solution Remapping Technique to Accelerate Flow Convergence for Discontinuous Galerkin Methods in Shape Optimization Design

Journal of Scientific Computing ◽

10.1007/s10915-021-01499-8 ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Jufang Wang ◽

Tiegang Liu

Keyword(s):

Shape Optimization ◽

Discontinuous Galerkin ◽

Optimization Design ◽

Discontinuous Galerkin Methods ◽

Local Maximum ◽

Galerkin Methods ◽

Accelerate Flow ◽

Flow Convergence

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hp-adaptive discontinuous Galerkin methods for simplified PN approximations of frequency-dependent radiative transfer

Discontinuous Galerkin methods for the radiative transfer equation and its approximations

Multi-hp adaptive discontinuous Galerkin methods for simplified P approximations of 3D radiative transfer in non-gray media

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

Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations

Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation

Device Modeling Using Discontinuous Galerkin Methods for Fluid Plasmas

Regionally implicit discontinuous Galerkin methods for solving the relativistic Vlasov-Maxwell system

A Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations

Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Local-Maximum-and-Minimum-Preserving Solution Remapping Technique to Accelerate Flow Convergence for Discontinuous Galerkin Methods in Shape Optimization Design

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