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.

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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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