scholarly journals Dispersive properties of high–order Nédélec/edge element approximation of the time–harmonic Maxwell equations

2004 ◽  
Vol 362 (1816) ◽  
pp. 471-491 ◽  
Author(s):  
Mark Ainsworth
Keyword(s):  
Maxwell Equations ◽  
High Order ◽  
Element Approximation ◽  
Edge Element ◽  
Time Harmonic

High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

2012 ◽  
Vol 11 (3) ◽  
pp. 863-892 ◽  
Author(s):  
Sébastien Jund ◽  
Stéphanie Salmon ◽  
Eric Sonnendrücker
Keyword(s):  
Taylor Expansion ◽  
Maxwell Equations ◽  
High Order ◽  
Finite Element Discretization ◽  
Element Discretization ◽  
Edge Element ◽  
Discretization Methods ◽  
Low Dissipation ◽  
Conforming Finite Element ◽  
High Order Time

AbstractIn this paper, we study high order discretization methods for solving the Maxwell equations on hybrid triangle-quad meshes. We have developed high order finite edge element methods coupled with different high order time schemes and we compare results and efficiency for several schemes. We introduce in particular a class of simple high order low dissipation time schemes based on a modified Taylor expansion.

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

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 ◽  
Time Harmonic
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