Hi.
Regarding this:

> On Thursday, April 6, 2017 at 1:51:41 PM UTC+2, Denis Davydov wrote:
> 
> The issue with integrating and quadrature would still remain.


I've been implementing an algorithm to generate bulk and surface quadrature 
given a level set function as boundary description. It's mainly an 
implementation of this algorithm: dx.doi.org/10.1137/140966290. 
I'm hoping to finish this within the coming weeks and contribute with this 
to dealii.

Best 
Simon

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