A Multi-modes Monte Carlo Interior Penalty Discontinuous Galerkin Method for the Time-Harmonic Maxwell’s Equations with Random Coefficients

Journal of Scientific Computing ◽

10.1007/s10915-019-00986-3 ◽

2019 ◽

Vol 80 (3) ◽

pp. 1498-1528

Author(s):

Xiaobing Feng ◽

Junshan Lin ◽

Cody Lorton

Keyword(s):

Monte Carlo ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Random Coefficients ◽

Interior Penalty ◽

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Interior Penalty Discontinuous Galerkin Method for Maxwell’s Equations in Cold Plasma

Journal of Scientific Computing ◽

10.1007/s10915-009-9300-6 ◽

2009 ◽

Vol 41 (3) ◽

pp. 321-340 ◽

Author(s):

Yunqing Huang ◽

Jichun Li

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Cold Plasma ◽

Maxwell's Equations ◽

Interior Penalty

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Interior penalty discontinuous Galerkin method for Maxwell's equations: optimal L2-norm error estimates

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drm038 ◽

2007 ◽

Vol 28 (3) ◽

pp. 440-468 ◽

Author(s):

M. J. Grote ◽

A. Schneebeli ◽

D. Schotzau

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Interior Penalty ◽

L2 Norm ◽

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Interior Penalty Discontinuous Galerkin Method for the Time-Domain Maxwell's Equations

IEEE Transactions on Magnetics ◽

10.1109/tmag.2010.2043235 ◽

2010 ◽

Vol 46 (8) ◽

pp. 3512-3515 ◽

Author(s):

Stylianos Dosopoulos ◽

Jin-Fa Lee

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Interior Penalty ◽

The Time Domain

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Optimized Schwarz algorithms for solving time-harmonic Maxwell’s equations discretized by a hybridizable discontinuous Galerkin method

Computer Physics Communications ◽

10.1016/j.cpc.2015.11.011 ◽

2016 ◽

Vol 200 ◽

pp. 176-181 ◽

Author(s):

Yu-Xuan He ◽

Liang Li ◽

Stéphane Lanteri ◽

Ting-Zhu Huang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Hybridizable Discontinuous Galerkin ◽

Time Harmonic ◽

Hybridizable Discontinuous Galerkin Method ◽

Schwarz Algorithms

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High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell’s equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.03.140 ◽

2013 ◽

Vol 219 (13) ◽

pp. 7241-7251 ◽

Author(s):

Mohamed El Bouajaji ◽

Stéphane Lanteri

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

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A parallel and non-conformal Interior Penalty Discontinuous Galerkin method for the time-domain Maxwell'S equations

2011 IEEE International Symposium on Antennas and Propagation (APSURSI) ◽

10.1109/aps.2011.5997229 ◽

2011 ◽

Author(s):

S. Dosopoulos ◽

Jin-Fa Lee

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Interior Penalty ◽

The Time Domain

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A Hybridizable Discontinuous Galerkin Method for Solving 3D Time-Harmonic Maxwell’s Equations

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_13 ◽

2012 ◽

pp. 119-128 ◽

Author(s):

L. Li ◽

S. Lanteri ◽

R. Perrussel

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Hybridizable Discontinuous Galerkin ◽

Time Harmonic ◽

Hybridizable Discontinuous Galerkin Method

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A hybrid-mesh hybridizable discontinuous Galerkin method for solving the time-harmonic Maxwell’s equations

Applied Mathematics Letters ◽

10.1016/j.aml.2016.12.018 ◽

2017 ◽

Vol 68 ◽

pp. 109-116 ◽

Author(s):

Lan Zhu ◽

Ting-Zhu Huang ◽

Liang Li

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Hybrid Mesh ◽

Hybridizable Discontinuous Galerkin ◽

Time Harmonic ◽

Hybridizable Discontinuous Galerkin Method

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Plane Wave Discontinuous Galerkin Method with Lagrange Multipliers for Solving Time-Harmonic Maxwell's Equations in Three Dimensions

Electromagnetics ◽

10.1080/02726343.2014.877776 ◽

2014 ◽

Vol 34 (3-4) ◽

pp. 328-344

Author(s):

Ming-Feng Xue ◽

Jian-Ming Jin

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Lagrange Multipliers ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Three Dimensions ◽

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Interior penalty discontinuous Galerkin method for Maxwell's equations: Energy norm error estimates

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.01.044 ◽

2007 ◽

Vol 204 (2) ◽

pp. 375-386 ◽

Author(s):

Marcus J. Grote ◽

Anna Schneebeli ◽

Dominik Schötzau

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Energy Norm ◽

Interior Penalty ◽

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