> I need to solve let's say the heat equation over a domain made of two
> different bodies. The heat flux must be discontinuous at the interface
> between the two bodies.

So is the heat flux a variable in your formulation?

But thinking about it, what I imagine you want to say is not that the heat 
flux is discontinuous, but that the gradient of the temperature is 
discontinuous, right?


>   - Generate a mesh where the interface is explicitly meshed. I am used
> to GMSH, which does not deal very well with hexas. Is there any good
> hexa mesher that you would advice?

Cubit. Though I don't know its current status as open source.

If your domain is sufficiently simple, you can also often generate meshes "by 
hand", as for example in step-14.


>   - Generate a regular mesh and then "cut" it along the interface. I
> have seen such work for tetras, but I am not really sure it is even
> possible for hexas... Is there any good hexa mesh modification tool that
> you would advice?

I don't know. 


>   - I am used to the extended finite element method where one enriches
> the approximation space of the elements cut by the interface by
> introducing additional degrees of freedom in order to capture the
> discontinuity without any need for remeshing. Is there such or
> comparable possibility inside deal.II?

No, not currently.

Best
 W.

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

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