A residual‐based error estimator and mesh adaptivity for the time harmonic Maxwell equations applied to a Y‐beam splitter

PAMM ◽

10.1002/pamm.202100175 ◽

2021 ◽

Vol 21 (1) ◽

Author(s):

Sven Beuchler ◽

Sebastian Kinnewig ◽

Philipp König ◽

Thomas Wick

Keyword(s):

Maxwell Equations ◽

Beam Splitter ◽

Error Estimator ◽

Mesh Adaptivity ◽

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Homogenization of time harmonic Maxwell equations and the frequency dispersion effect

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2010.10.007 ◽

2011 ◽

Vol 95 (4) ◽

pp. 420-443 ◽

Author(s):

Youcef Amirat ◽

Vladimir Shelukhin

Keyword(s):

Maxwell Equations ◽

Frequency Dispersion ◽

Dispersion Effect ◽

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Saddle point least squares iterative solvers for the time harmonic Maxwell equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.08.036 ◽

2017 ◽

Vol 74 (11) ◽

pp. 2915-2928 ◽

Author(s):

Constantin Bacuta ◽

Jacob Jacavage ◽

Klajdi Qirko ◽

Francisco-Javier Sayas

Keyword(s):

Saddle Point ◽

Least Squares ◽

Maxwell Equations ◽

Iterative Solvers ◽

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True 2nd order transmission condition in conjunction with corner edge penalty term for non-conformal domain decomposition methods in solving time-harmonic Maxwell equations

2010 IEEE Antennas and Propagation Society International Symposium ◽

10.1109/aps.2010.5561922 ◽

2010 ◽

Author(s):

Zhen Peng ◽

Jin-Fa Lee

Keyword(s):

Domain Decomposition ◽

Maxwell Equations ◽

Decomposition Methods ◽

Transmission Condition ◽

Domain Decomposition Methods ◽

Penalty Term ◽

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Ground state solutions for semilinear time-harmonic Maxwell equations

Journal of Mathematical Physics ◽

10.1063/1.4947179 ◽

2016 ◽

Vol 57 (4) ◽

pp. 041505 ◽

Author(s):

Xianhua Tang ◽

Dongdong Qin

Keyword(s):

Ground State ◽

Maxwell Equations ◽

Ground State Solutions ◽

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Block triangular preconditioners for the discretized time-harmonic Maxwell equations in mixed form

Computer Physics Communications ◽

10.1016/j.cpc.2008.09.004 ◽

2009 ◽

Vol 180 (2) ◽

pp. 192-196 ◽

Author(s):

Guang-Hui Cheng ◽

Ting-Zhu Huang ◽

Shu-Qian Shen

Keyword(s):

Maxwell Equations ◽

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Stabilized interior penalty methods for the time-harmonic Maxwell equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00399-7 ◽

2002 ◽

Vol 191 (41-42) ◽

pp. 4675-4697 ◽

Author(s):

I. Perugia ◽

D. Schötzau ◽

P. Monk

Keyword(s):

Maxwell Equations ◽

Penalty Methods ◽

Interior Penalty ◽

Time Harmonic ◽

Interior Penalty Methods

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The time-harmonic Maxwell equations

Mathematical Modelling: Theory and Applications - Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications ◽

10.1007/978-94-015-8672-6_12 ◽

1996 ◽

pp. 223-235

Author(s):

Michal Křížek ◽

Pekka Neittaanmäki

Keyword(s):

Maxwell Equations ◽

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On the time-harmonic Maxwell equations in general domains

Numerical Mathematics and Advanced Applications ◽

10.1007/978-88-470-2089-4_22 ◽

2003 ◽

pp. 243-253

Author(s):

D. Boffi ◽

L. Gastaldi

Keyword(s):

Maxwell Equations ◽

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9. The time-harmonic Maxwell equations with impedance boundary conditions in polyhedral domains

Maxwell’s Equations ◽

10.1515/9783110543612-009 ◽

2019 ◽

pp. 285-340 ◽

Author(s):

Serge Nicaise ◽

Jérôme Tomezyk

Keyword(s):

Boundary Conditions ◽

Maxwell Equations ◽

Impedance Boundary ◽

Impedance Boundary Conditions ◽

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An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations

Mathematics of Computation ◽

10.1090/s0025-5718-99-01013-3 ◽

1999 ◽

Vol 68 (226) ◽

pp. 607-632 ◽

Author(s):

Ana Alonso ◽

Alberto Valli

Keyword(s):

Domain Decomposition ◽

Maxwell Equations ◽

Low Frequency ◽

Optimal Domain ◽

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