Hello Salazar,
                      You can check out adjoints example 3
(examples/adjoints/adjoints_ex3) to see an example of a Weighted Patch
Recovery estimator. In this example, we compute patch recovery error
estimates for each primal and dual variable in the appropriate norms, and
then weight and combine these estimates to obtain the error indicators.

As Roy said, more details can be found in Section 4.2 here:
http://repositories.lib.utexas.edu/handle/2152/ETD-UT-2012-08-6034

Thanks.

On Thu, Feb 2, 2017 at 4:09 PM, Paul T. Bauman <[email protected]> wrote:

> 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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-- 
Vikram Garg
Postdoctoral Associate
The University of Texas at Austin

http://vikramvgarg.wordpress.com/
http://www.runforindia.org/runners/vikramg
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