Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell’s Equations in Multi-dimensions

Journal of Scientific Computing ◽

10.1007/s10915-021-01651-4 ◽

2021 ◽

Vol 89 (2) ◽

Author(s):

Maohui Lyu ◽

Vrushali A. Bokil ◽

Yingda Cheng ◽

Fengyan Li

Keyword(s):

Discontinuous Galerkin ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

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Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media

Journal of Computational Physics ◽

10.1016/j.jcp.2017.08.009 ◽

2017 ◽

Vol 350 ◽

pp. 420-452 ◽

Author(s):

Vrushali A. Bokil ◽

Yingda Cheng ◽

Yan Jiang ◽

Fengyan Li

Keyword(s):

Discontinuous Galerkin ◽

Maxwell’S Equations ◽

Nonlinear Optical ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Optical Media ◽

Energy Stable ◽

Nonlinear Optical Media

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Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2004.02.022 ◽

2004 ◽

Vol 200 (2) ◽

pp. 549-580 ◽

Author(s):

Tiao Lu ◽

Pingwen Zhang ◽

Wei Cai

Keyword(s):

Boundary Conditions ◽

Discontinuous Galerkin ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Development of discontinuous Galerkin methods for Maxwell’s equations in metamaterials and perfectly matched layers

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.04.040 ◽

2011 ◽

Vol 236 (5) ◽

pp. 950-961 ◽

Author(s):

Jichun Li

Keyword(s):

Discontinuous Galerkin ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Perfectly Matched Layers ◽

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A class of locally well-posed hybridizable discontinuous Galerkin methods for the solution of time-harmonic Maxwell’s equations

Computer Physics Communications ◽

10.1016/j.cpc.2015.02.017 ◽

2015 ◽

Vol 192 ◽

pp. 23-31 ◽

Author(s):

Liang Li ◽

Stéphane Lanteri ◽

Ronan Perrussel

Keyword(s):

Discontinuous Galerkin ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Hybridizable Discontinuous Galerkin ◽

Time Harmonic ◽

Hybridizable Discontinuous Galerkin Methods ◽

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Optimal non-dissipative discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.02.018 ◽

2017 ◽

Vol 73 (8) ◽

pp. 1760-1780 ◽

Author(s):

Jichun Li ◽

Cengke Shi ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell’s equations

Journal of Computational Physics ◽

10.1016/j.jcp.2011.05.018 ◽

2011 ◽

Vol 230 (19) ◽

pp. 7151-7175 ◽

Author(s):

N.C. Nguyen ◽

J. Peraire ◽

B. Cockburn

Keyword(s):

Discontinuous Galerkin ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Hybridizable Discontinuous Galerkin ◽

Time Harmonic ◽

Hybridizable Discontinuous Galerkin Methods

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Locally Implicit Discontinuous Galerkin Methods for Time-Domain Maxwell’s Equations

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_14 ◽

2012 ◽

pp. 129-137 ◽

Author(s):

L. Moya

Keyword(s):

Discontinuous Galerkin ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Discontinuous Galerkin methods for Maxwell's equations in the time domain

Comptes Rendus Physique ◽

10.1016/j.crhy.2006.03.004 ◽

2006 ◽

Vol 7 (5) ◽

pp. 494-500 ◽

Author(s):

Gary Cohen ◽

Xavier Ferrieres ◽

Sébastien Pernet

Keyword(s):

Discontinuous Galerkin ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

The Time Domain

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Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell’s equations on Cartesian grids

Journal of Computational Physics ◽

10.1016/j.jcp.2012.10.019 ◽

2013 ◽

Vol 235 ◽

pp. 14-31 ◽

Author(s):

Eric T. Chung ◽

Patrick Ciarlet ◽

Tang Fei Yu

Keyword(s):

Discontinuous Galerkin ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Three Dimensional ◽

Galerkin Methods ◽

Cartesian Grids ◽

Convergence And Superconvergence

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Discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials on unstructured meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.04.011 ◽

2018 ◽

Vol 342 ◽

pp. 147-163 ◽

Author(s):

Cengke Shi ◽

Jichun Li ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Galerkin Methods ◽

Unstructured Meshes ◽

Galerkin Methods

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