[image: dd_vt.png]
Hi all, I have a question regarding how to efficiently interpolate the normal trace of flux in a slightly complicated scenario. To get a little perspective, here is a brief description of what I am trying to achieve: *Context: *I am working on a domain decomposition technique for a time-dependent parabolic problem using mixed finite element( *RT_k x DGQ_k) * where I use *non-matching grid and non-matching time steps* for different sub-domains. As you can see from the figure, there is one extra dimension coming from time discretization. I need to project the normal component of flux across the colored interfaces in the figure. Ideally this would be easier if for flux I am working with a FE which is RT_k in the space dimension and DQ in the time dimension. But since I don't expect anyone to implement such a FE in dealii, I figured I could use DQ_k on the colored interface to approximate the normal trace of the flux on the interface. *Question: *If I start by assuming that I have values of the flux(approximated using RT_k elements for each fixed time step) at different points on the red interface from my earlier computations in terms of dof_handler for Omega_1 and solution_vectors for different time step, how do I efficiently use this information to interpolate this to a DGQ_k function so that this new interpolated function will give the normal trace of flux on the red interface? I think this could be done with the help of FEFieldFunction class, but I would like to know if there is a more efficient way of doing this using some other function class. I'm sorry if the problem seems convoluted, I thought about it quite a bit and I could try explaining more if needed. Any help is appreciated, Manu -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to dealii+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/dealii/182e6bb2-b32c-49e5-9e5d-dd143f67f091%40googlegroups.com.
