I apologize (to Michael Harmon and others who follow this thread) for not
writing back, promptly! This forum is great and must be used respectfully
-I apologize again! I dropped this thread for some time.
Thanks Michael for the suggestion to use Raviat-Thomas elements!
My dielectric constant i just a discontinuous step function across the
material interfaces.
/Erik
On Tuesday, March 29, 2016 at 6:08:47 PM UTC+2, Michael Harmon wrote:
>
> I had to do this same problem.
>
> The way to do this is to use a mixed finite element method with
> Raviart-Thomas elements as done in step 20. For electrostatics you should
> have two conditions across the interface:
>
> 1.) the jump in potential (phi) is continuous
> 2.) the jump in the displacement electric field (e_{i} grad(phi)) is
> continuous (which is what you wrote)
>
> Both interface conditions will automatically be satisfied weakly using the
> mixed method. The second constraint is satisfied by the Raviart-Thomas
> elements itself.
>
> Is your dielectric constant just a discontinuous step function or
> spatially variable within each subdomain?
>
>
>
> On Monday, March 28, 2016 at 8:37:36 AM UTC-5, Erik Svensson wrote:
>>
>> Thanks a lot for detailed answer!
>>
>> Indeed, I'm using the Kelly refinement.
>>
>> I would need to think more about what I would like to achieve.
>>
>> /Erik
>>
>>
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