Hi Bruno,

OK, let's see the simple example in step-3. From a physical viewpoint, this 
is a steady-state heat equation without a heat source. Then we hope there 
is a particular line area inside, where the temperature is, for example, 1. 
In other place, the initial temperature is 0. Under this condition, we 
solve the equation and get the temperature distribution around this line 
area. Why am I concered about this? Because I have a benchmark problem 
which needs the similar inner boundary conditions.

Best,

Qing

On Friday, January 12, 2018 at 6:37:18 AM UTC-7, Bruno Turcksin wrote:
>
> Qing,
>
> What do you want to do? It's hard to help you if you don't tell us why you 
> want to set an inner boundary conditions.
>
> Best,
>
> Bruno
>
> On Thursday, January 11, 2018 at 6:30:11 PM UTC-5, Qing Yin wrote:
>>
>> Dear deal.II community,
>>
>> I am wondering if it is possible to set inner boundary conditions for a 
>> square. For example, I have a domain $[-1,1]^2$, and I'd like to set a 
>> line, which is inside this domain, to be the inner boundary. However, I 
>> found I could not use the `set_boundary_id` function because of the 
>> internal faces. Do you have any suggestion for this?
>>
>> Thank you!
>>
>> Best,
>>
>> Qing
>>
>>

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