Thanks Abbas,

I considered about DG method, because DG allows discontinuity and 
implements boundary condition easier than FE_Q. 
However DG requires more DoF than continuous finite element, especially in 
frequency-domain. 

Best,
Wayne

在2022年12月5日星期一 UTC+8 22:35:12<Abbas> 写道:

> Maybe you can look into using DG for discritizing the problem? You're 
> already using penalty terms so might as well. 
> One thing I am afraid of is that Nedelec elements inherently satisfy the 
> div free condition, while DG might need careful treatment or your 
> preconditioner would fail at high frequency. 
> Just my 2 cents. Maybe you know someone else who can help you with this.   
>
>
> On Monday, December 5, 2022 at 4:29:35 PM UTC+2 yy.wayne wrote:
>
>> Hi deal.II community,
>>
>> I'm working on MatrixFree electromagnetic problems with deal.II. For 2d 
>> TE waves FE_Q element works good, but for cases like in step-81 and in 3d, 
>> Nedelec element in the appropriate one for EM.
>>
>> I posted a discussion about this 3 months ago. May I ask what's the 
>> current state for MatriFree support of Nedelec elements in deal.II? 
>> Implementing MatrixFree Nedelec is quite difficult for me. Currently I plan 
>> to solve 3d EM problem with FE_Q elements with some penalty terms, but of 
>> course that's not a nice policy because of spurious solution and 
>> singularity when solving EM numerically with nodal elements.
>>
>

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