On 7/6/21 12:13 PM, Jean-Paul Pelteret wrote:
The literature mostly refers to two approaches todiscretizing the time
harmonic Maxwell equation. The first one is through the use of edge curl
conforming Nedelec elements and the other being through the use of interior
penalty DG.
Any comments on the use of one approach over the other?
Abbas,
alternatively, I can try to scrape the bottom of my barrel and see what I know
about things. What specifically is your question? Which of the two methods is
better? Which is more accurate? Which is faster? Which is easier to implement?
The one using edge (Nedelec) elements is certainly more widely used today
because it is known to actually work. Using IP methods and the usual
continuous or discontinuous elements is newer, and so as a community we have
less experience on how well that works. I can't say that I've ever heard
anyone say "You should use method 1" or "2". If correctly implemented, both
will probably get you to your goal, and the difference in accuracy and speed
is probably not so large that it really matters one way or the other.
Best
W.
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Wolfgang Bangerth email: [email protected]
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