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Projection onto finer meshes

 

Is it possible to project a known field onto a different (heterogeneously refined) mesh? I am trying to implement an adaptive mesh refinement scheme which, in a given iteration, requires values of fields from previous iterations which live on coarser meshes.
I've been searching through this list's archives on my mail client, and 
I stumbled upon two threads (from '06 and '07) that discuss the same 
issue, but I am not sure if they resulted in a solution.
Harish



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