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@MISC{,
            author = {Blechta, Jan and M{\'{a}}lek, Josef and Vohral{\'{\i}}k, Martin},
             title = {Localization of the $W^{-1,q}$ norm for local a posteriori efficiency},
              year = {2016},
               url = {https://hal.inria.fr/hal-01332481},
          abstract = {This paper gives a direct proof of localization of dual norms of bounded linear
functionals on the Sobolev space $W^{1,p}_0(\Omega)$. The basic condition is
that the functional in question vanishes over locally supported test functions
from $W^{1,p}_0(\Omega)$ which form a partition of unity in $\Omega$, apart
from close to the boundary $\partial \Omega$. We also study how to weaken this
condition. The results allow in particular to establish local efficiency and
robustness of a posteriori estimates for nonlinear partial differential
equations in divergence form, including the case of inexact solvers.},
  Preprint project = {MORE},
     Preprint year = {2016},
   Preprint number = {24},
       Preprint ID = {MORE/2016/24}
}

