An Angular Approach to Untangling High-Order Curvilinear Triangular Meshes

Lecture Notes in Computational Science and Engineering - 27th International Meshing Roundtable ◽

10.1007/978-3-030-13992-6_18 ◽

2019 ◽

pp. 327-342 ◽

Author(s):

Mike Stees ◽

Suzanne M. Shontz

Keyword(s):

Triangular Meshes

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A high-order discontinuous Galerkin method for the SN transport equations on 2D unstructured triangular meshes

Annals of Nuclear Energy ◽

10.1016/j.anucene.2009.03.002 ◽

2009 ◽

Vol 36 (7) ◽

pp. 931-939 ◽

Author(s):

Yaqi Wang ◽

Jean C. Ragusa

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transport Equations ◽

Triangular Meshes

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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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High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.03.013 ◽

2020 ◽

Vol 153 ◽

pp. 519-539

Author(s):

Jun Zhu ◽

Chi-Wang Shu ◽

Jianxian Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Triangular Meshes ◽

New Type ◽

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$L^2$ Error Estimates for High Order Finite Volume Methods on Triangular Meshes

SIAM Journal on Numerical Analysis ◽

10.1137/140988486 ◽

2016 ◽

Vol 54 (5) ◽

pp. 2729-2749 ◽

Author(s):

Xiang Wang ◽

Yonghai Li

Keyword(s):

Error Estimates ◽

Finite Volume ◽

Finite Volume Methods ◽

Triangular Meshes

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High-Order Methods Including Discontinuous Galerkin by Reconstructions on Triangular Meshes

49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2011-44 ◽

2011 ◽

Author(s):

HT Huynh

Keyword(s):

Discontinuous Galerkin ◽

Triangular Meshes ◽

High Order Methods

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High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes

SIAM Journal on Scientific Computing ◽

10.1137/s1064827501396798 ◽

2003 ◽

Vol 24 (3) ◽

pp. 1005-1030 ◽

Author(s):

Yong-Tao Zhang ◽

Chi-Wang Shu

Keyword(s):

Triangular Meshes ◽

Weno Schemes ◽

Jacobi Equations

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High-order schemes for Hamilton–Jacobi equations on triangular meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2003.09.051 ◽

2004 ◽

Vol 167 (1) ◽

pp. 227-241 ◽

Author(s):

Xiang-Gui Li ◽

C.K. Chan

Keyword(s):

Triangular Meshes ◽

High Order Schemes ◽

Jacobi Equations

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Corrigendum to “High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes” [J. Comput. Phys. 397 (2019) 108811]

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109250 ◽

2020 ◽

Vol 406 ◽

pp. 109250

Author(s):

Min Zhang ◽

Juan Cheng ◽

Jianxian Qiu

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

Triangular Meshes ◽

Positivity Preserving ◽

Comput Phys ◽

Transfer Equations ◽

Radiative Transfer Equations

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High-order bound-preserving discontinuous Galerkin methods for wormhole propagation on triangular meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2019.03.046 ◽

2019 ◽

Vol 390 ◽

pp. 323-341 ◽

Author(s):

Ziyao Xu ◽

Yang Yang ◽

Hui Guo

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Triangular Meshes

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High-order entropy stable discontinuous Galerkin methods for the shallow water equations: Curved triangular meshes and GPU acceleration

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.11.006 ◽

2021 ◽

Vol 82 ◽

pp. 179-199

Author(s):

Xinhui Wu ◽

Ethan J. Kubatko ◽

Jesse Chan

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Gpu Acceleration ◽

Galerkin Methods ◽

Triangular Meshes ◽

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