Plane wave ℋ (curl; Ω) conforming finite elements for Maxwell's equations

2003 ◽  
Vol 31 (3) ◽  
pp. 272-283 ◽  
Author(s):  
P. D. Ledger ◽  
K. Morgan ◽  
O. Hassan ◽  
N. P. Weatherill
Keyword(s):  
Finite Elements ◽  
Plane Wave ◽  
Maxwell’S Equations ◽  
Maxwell's Equations

Maxwell fields satisfying Huygens's principle

1968 ◽  
Vol 64 (3) ◽  
pp. 779-785 ◽  
Author(s):  
H. P. Künzle
Keyword(s):  
Wave Equation ◽  
Plane Wave ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Maxwell Fields ◽  
Wave Space

AbstractIt is shown that Huygens's principle holds for the solutions of Maxwell's equations for p-forms of all degrees in a gravitational plane wave space, while the solutions of the wave equation for 1, 2, and 3-forms, however, may have tails.

Utilization of wavelet concepts in finite elements for an efficient solution of Maxwell's equations

Radio Science ◽  
1994 ◽  
Vol 29 (4) ◽  
pp. 965-977 ◽  
Author(s):  
Tapan K. Sarkar ◽  
Raviraj S. Adve ◽  
Luis Emilio García-Castillo ◽  
Magdalena Salazar-Palma
Keyword(s):  
Finite Elements ◽  
Maxwell’S Equations ◽  
Efficient Solution ◽  
Maxwell's Equations

A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements

2012 ◽  
Vol 231 (9) ◽  
pp. 3770-3783 ◽  
Author(s):  
Paul Tsuji ◽  
Bjorn Engquist ◽  
Lexing Ying
Keyword(s):  
Finite Elements ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Time Harmonic

On Maxwell's equations in non-stationary media

2008 ◽  
Vol 366 (1871) ◽  
pp. 1781-1788 ◽  
Author(s):  
I Vorgul
Keyword(s):  
Analytical Solution ◽  
Plane Wave ◽  
Integral Equations ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Exact Analytical Solution ◽  
Charge Injection ◽  
Incident Field ◽  
Volterra Integral Equations ◽  
Numerical Investigations

Maxwell's equations formulated for media with gradually changing conductivity are reduced to Volterra integral equations. Analytical and numerical investigations of the equations are presented for the case of gradual splash-like change in conductivity. Splash-like change in medium parameters can model any discharge phenomena, growing plasma, charge injection, etc. Exact analytical solution for the resolvent is presented and different field behaviours are analysed for the incident field as a plane wave and as an impulse.

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