Check out AdjointResidualErrorEstimator which computes the adjoint on the same 
space but then uses PatchRecovery (or whatever you want) on the primal and 
duals to get an error indicator to drive AMR. Not a great estimate of the 
actual error, but produces decent meshes for controlling QoI error.

It is on my todo list to tinker with AdjointRefinement indicators for AMR while 
still preserving the error estimate.

> On Feb 2, 2017, at 4:13 PM, Salazar De Troya, Miguel <[email protected]> 
> wrote:
> 
> Hello
> 
> The current implementation of AdjointRefinementEstimator does a uniform 
> refinement to obtain an adjoint solution in a richer space. This is a 
> necessary condition to obtain an error estimate in a quantity of interest. My 
> question is: Is it feasible to perform a patch recovery on the adjoint 
> solution and use that in the error estimate? Will this be cheaper than the 
> uniform refinement?
> 
> Thanks
> Miguel
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