Hi Daniel

Thanks for your prompt response and guidelines. After going through these 
examples, I have a better understanding now.

Best,
Baoyun

On Sunday, June 2, 2019 at 7:54:16 PM UTC-5, Daniel Arndt wrote:
>
> Bayon,
>
> What's the most appropriate/easiest way to setup the matrix for such a 
>> multi-domain problem in the dealii programming environment? 
>>
>  
> Essentially, you are solving a Laplace problem  with discontinuous 
> coefficients. In case, there are no interface conditions between the 
> different materials,
> you should be good to just look at step-6 (and the previous tutorial 
> programs of course) to begin with. For periodic boundary consitionsyou 
> might want to have a look at step-45. 
>  
>
>> In an actual electric machine, the air region is very thin, resulting a 
>> large aspect ratio.  What's the most appropriate way to mesh this region?
>>
>
> We provide generators for a bunch of meshes in the GridGenerator 
> namespace. In you case, I would make sure that each materials are not cut 
> by cells.
> You might want to merge triangulations via 
> GridGenerator::merge_triangulations. With respect to the thin air region 
> anisotropic refinement might be interesting (see 
> https://www.dealii.org/current/doxygen/deal.II/step_30.html)
> if you can't afford a suitably (isotropically) globally refined mesh.
>
> Best,
> Daniel
>

On Sunday, June 2, 2019 at 7:54:16 PM UTC-5, Daniel Arndt wrote:
>
> Bayon,
>
> What's the most appropriate/easiest way to setup the matrix for such a 
>> multi-domain problem in the dealii programming environment? 
>>
>  
> Essentially, you are solving a Laplace problem  with discontinuous 
> coefficients. In case, there are no interface conditions between the 
> different materials,
> you should be good to just look at step-6 (and the previous tutorial 
> programs of course) to begin with. For periodic boundary consitionsyou 
> might want to have a look at step-45. 
>  
>
>> In an actual electric machine, the air region is very thin, resulting a 
>> large aspect ratio.  What's the most appropriate way to mesh this region?
>>
>
> We provide generators for a bunch of meshes in the GridGenerator 
> namespace. In you case, I would make sure that each materials are not cut 
> by cells.
> You might want to merge triangulations via 
> GridGenerator::merge_triangulations. With respect to the thin air region 
> anisotropic refinement might be interesting (see 
> https://www.dealii.org/current/doxygen/deal.II/step_30.html)
> if you can't afford a suitably (isotropically) globally refined mesh.
>
> Best,
> Daniel
>

On Sunday, June 2, 2019 at 7:54:16 PM UTC-5, Daniel Arndt wrote:
>
> Bayon,
>
> What's the most appropriate/easiest way to setup the matrix for such a 
>> multi-domain problem in the dealii programming environment? 
>>
>  
> Essentially, you are solving a Laplace problem  with discontinuous 
> coefficients. In case, there are no interface conditions between the 
> different materials,
> you should be good to just look at step-6 (and the previous tutorial 
> programs of course) to begin with. For periodic boundary consitionsyou 
> might want to have a look at step-45. 
>  
>
>> In an actual electric machine, the air region is very thin, resulting a 
>> large aspect ratio.  What's the most appropriate way to mesh this region?
>>
>
> We provide generators for a bunch of meshes in the GridGenerator 
> namespace. In you case, I would make sure that each materials are not cut 
> by cells.
> You might want to merge triangulations via 
> GridGenerator::merge_triangulations. With respect to the thin air region 
> anisotropic refinement might be interesting (see 
> https://www.dealii.org/current/doxygen/deal.II/step_30.html)
> if you can't afford a suitably (isotropically) globally refined mesh.
>
> Best,
> Daniel
>

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