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

Marcus J. Grote; Anna Schneebeli; Dominik Schötzau

doi:10.1016/j.cam.2006.01.044

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 ◽

Cited By ~ 59

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 ◽

Norm Error

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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 ◽

Cited By ~ 32

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 ◽

Norm Error

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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 ◽

Cited By ~ 24

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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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 ◽

Time Harmonic

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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 ◽

Cited By ~ 5

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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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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High-Order Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell’s Equations

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 ◽

10.1007/978-3-319-01601-6_16 ◽

2013 ◽

pp. 205-215 ◽

Cited By ~ 1

Author(s):

S. Descombes ◽

S. Lanteri ◽

L. Moya

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Time Integration ◽

High Order ◽

Implicit Time ◽

Implicit Time Integration ◽

Integration Strategies

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Discontinuous Galerkin Method for the Time-domain Maxwell’s Equations

Computational Fluid Dynamics 2002 ◽

10.1007/978-3-642-59334-5_20 ◽

2003 ◽

pp. 153-158

Author(s):

Adour V. Kabakian ◽

Vijaya Shankar ◽

William F. Hall

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

The Time Domain

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Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell’s Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9669-5 ◽

2012 ◽

Vol 56 (1) ◽

pp. 190-218 ◽

Cited By ~ 22

Author(s):

Stéphane Descombes ◽

Stéphane Lanteri ◽

Ludovic Moya

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Time Integration ◽

Implicit Time ◽

Implicit Time Integration ◽

Integration Strategies

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Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials

Journal of Mathematics in Industry ◽

10.1186/s13362-018-0051-6 ◽

2018 ◽

Vol 8 (1) ◽

Author(s):

Adérito Araújo ◽

Sílvia Barbeiro ◽

Maryam Khaksar Ghalati

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Anisotropic Materials

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An Analysis of the Leap-Frog Discontinuous Galerkin Method for Maxwell's Equations

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.2013.2295775 ◽

2014 ◽

Vol 62 (2) ◽

pp. 197-207 ◽

Cited By ~ 8

Author(s):

Jesus Alvarez ◽

Luis D. Angulo ◽

Miguel R. Cabello ◽

A. Rubio Bretones ◽

Salvador G. Garcia

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations

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