Bangerth,

Thanks for your prompt response.

Yes, the interface is straight, at least piecewise, and to begin with I am 
OK with assuming it is straight within each cell. I know the exact location 
of it, so intersection with edges are known. And yes, I can assume that the 
interface intersects each cell at most once. I am fine with working in 2d 
for a while.

Thanks for pointing out step-47, I will have a look!

Best,
Lars

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