Superconvergence analysis of second and third order rectangular edge elements with applications to Maxwell’s equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.10.006 ◽

2018 ◽

Vol 329 ◽

pp. 195-218 ◽

Author(s):

Yunqing Huang ◽

Jichun Li ◽

Chao Wu

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Third Order ◽

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Multilevel solution of the time-harmonic Maxwell's equations based on edge elements

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19990710)45:7<901::aid-nme611>3.0.co;2-4 ◽

1999 ◽

Vol 45 (7) ◽

pp. 901-920 ◽

Author(s):

Rudolf Beck ◽

Ralf Hiptmair

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Edge Elements ◽

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Superconvergence of the second order cubic edge elements with Maxwell’s equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.04.068 ◽

2020 ◽

Vol 387 ◽

pp. 124410

Author(s):

Chao Wu ◽

Yunqing Huang ◽

Jinyun Yuan

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Second Order ◽

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Uniqueness for first-order hyperbolic systems - with applications to secnd-order elliptic third-order and Maxwell's equations.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1987.377.187 ◽

1987 ◽

Vol 1987 (377) ◽

pp. 187-196

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Hyperbolic Systems ◽

Third Order ◽

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A third-order multirate Runge–Kutta scheme for finite volume solution of 3D time-dependent Maxwell’s equations

Communications in Applied Mathematics and Computational Science ◽

10.2140/camcos.2020.15.65 ◽

2020 ◽

Vol 15 (1) ◽

pp. 65-87

Author(s):

Marina Kotovshchikova ◽

Dmitry K. Firsov ◽

Shiu Hong Lui

Keyword(s):

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Time Dependent ◽

Third Order ◽

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Optimal Error Estimates for Nedelec Edge Elements for Time-Harmonic Maxwell's Equations

Journal of Computational Mathematics ◽

10.4208/jcm.2009.27.5.011 ◽

2009 ◽

Vol 27 (5) ◽

pp. 563-572 ◽

Author(s):

Liuqiang Zhong

Keyword(s):

Error Estimates ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Optimal Error Estimates ◽

Optimal Error ◽

Edge Elements ◽

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Superconvergence Analysis of High-Order Rectangular Edge Elements for Time-Harmonic Maxwell’s Equations

Journal of Scientific Computing ◽

10.1007/s10915-017-0544-2 ◽

2017 ◽

Vol 75 (1) ◽

pp. 510-535 ◽

Author(s):

Ming Sun ◽

Jichun Li ◽

Peizhen Wang ◽

Zhimin Zhang

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Edge Elements ◽

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Superconvergence recovery of cubic edge elements for Maxwell’s equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113333 ◽

2021 ◽

Vol 389 ◽

pp. 113333

Author(s):

C. Wu ◽

H. Zeng ◽

Y. Huang ◽

N. Yi ◽

J. Yuan

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

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Mass-Lumped Edge Elements for the Lossy Maxwell’s Equations

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 ◽

10.1007/978-3-642-55856-6_61 ◽

2003 ◽

pp. 383-388

Author(s):

Gary Cohen ◽

Xavier Ferrieres ◽

Peter Monk ◽

Sébastien Pernet

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

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Averaging for superconvergence: Verification and application of 2D edge elements to Maxwell’s equations in metamaterials

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2012.11.008 ◽

2013 ◽

Vol 255 ◽

pp. 121-132 ◽

Author(s):

Yunqing Huang ◽

Jichun Li ◽

Chao Wu

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

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Superconvergence Analysis and PPR Recovery of Arbitrary Order Edge Elements for Maxwell’s Equations

Journal of Scientific Computing ◽

10.1007/s10915-018-0805-8 ◽

2018 ◽

Vol 78 (2) ◽

pp. 1207-1230 ◽

Author(s):

Lixiu Wang ◽

Qian Zhang ◽

Zhimin Zhang

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Arbitrary Order ◽

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