Hi Wolfgang,

This kind of mesh sounds like zero thickness cohesive element. But I am not 
familiar with this method’s implementation. Does that mean I need create 
two Triangulation objects? And we set boundary values on this 2D “crack” 
mesh, then map it to the original mesh?

Thank you!

Qing

On Friday, January 12, 2018 at 11:10:48 AM UTC-7, Wolfgang Bangerth wrote:

On 01/12/2018 11:00 AM, Qing Yin wrote: 
> > 
> > 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. 
>
> For these cases, you want to create a mesh that has an actual boundary 
> along this line. I.e., you need to create a mesh where there are two 
> vertices at each position along the line and one vertex is part of the 
> cells on one side and the other vertex a part of the cells on the other 
> side. Think of creating a "crack" of width zero along your line. 
>
> Best 
>   W. 
>
> -- 
> ------------------------------------------------------------------------ 
> Wolfgang Bangerth          email:                 [email protected] 
> <javascript:> 
>                             www: http://www.math.colostate.edu/~bangerth/ 
>
​

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