Re: [deal.II] On the discretization of the time harmonic Maxwell equation

[Wolfgang Bangerth]

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.

--

Wolfgang Bangerth  email: bange...@colostate.edu
   www: http://www.math.colostate.edu/~bangerth/

--
The deal.II project is located at http://www.dealii.org/
For mailing list/forum options, see 
https://groups.google.com/d/forum/dealii?hl=en
--- 
You received this message because you are subscribed to the Google Groups "deal.II User Group" group.

To unsubscribe from this group and stop receiving emails from it, send an email 
to dealii+unsubscr...@googlegroups.com.
To view this discussion on the web visit 
https://groups.google.com/d/msgid/dealii/e07ff3a1-d36d-a4b1-7698-b69e01dea3b8%40colostate.edu.

Re: [deal.II] On the discretization of the time harmonic Maxwell equation

[Jean-Paul Pelteret]

Hi Abbas,

I’m sorry that nobody has answered your question to date. It could be that 
there is no-one on the forum with the requisite knowledge to help you, or maybe 
those that have the knowledge just aren’t capable of responding at the moment. 
If you haven’t done so already, then perhaps you might choose to ask your 
question on another forum (StackOverflow might be a good one to start with) — 
hopefully you’d have better luck getting some advice or guidance there.

Best,
Jean-Paul 

> On 28. Jun 2021, at 18:04, Abbas  wrote:
> 
> This is not a dealii question per se but again, if it's someone who can 
> answer this question it's going to be someone from here. 
> 
> 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? 
> 
> -- 
> The deal.II project is located at http://www.dealii.org/ 
> 
> For mailing list/forum options, see 
> https://groups.google.com/d/forum/dealii?hl=en 
> 
> --- 
> You received this message because you are subscribed to the Google Groups 
> "deal.II User Group" group.
> To unsubscribe from this group and stop receiving emails from it, send an 
> email to dealii+unsubscr...@googlegroups.com 
> .
> To view this discussion on the web visit 
> https://groups.google.com/d/msgid/dealii/ace82c1c-42b4-4e76-ade7-c591fc898940n%40googlegroups.com
>  
> .

-- 
The deal.II project is located at http://www.dealii.org/
For mailing list/forum options, see 
https://groups.google.com/d/forum/dealii?hl=en
--- 
You received this message because you are subscribed to the Google Groups 
"deal.II User Group" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to dealii+unsubscr...@googlegroups.com.
To view this discussion on the web visit 
https://groups.google.com/d/msgid/dealii/490BCD80-A99D-425C-85B8-AE8617AA1ECD%40gmail.com.

[deal.II] On the discretization of the time harmonic Maxwell equation

[Abbas]

This is not a dealii question per se but again, if it's someone who can 
answer this question it's going to be someone from here. 

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? 

-- 
The deal.II project is located at http://www.dealii.org/
For mailing list/forum options, see 
https://groups.google.com/d/forum/dealii?hl=en
--- 
You received this message because you are subscribed to the Google Groups 
"deal.II User Group" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to dealii+unsubscr...@googlegroups.com.
To view this discussion on the web visit 
https://groups.google.com/d/msgid/dealii/ace82c1c-42b4-4e76-ade7-c591fc898940n%40googlegroups.com.