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@MISC{,
            author = {Ainsworth, Mark and Vejchodsk{\'{y}}, Tom{\'{a}}{\v s}},
             title = {A Simple Approach to Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Problems},
              year = {2018},
          abstract = {A simple flux reconstruction for finite element solutions of reaction-
diffusion problems is shown to yield fully computable upper bounds
on the energy norm of error in an approximation of singularly per-
turbed reaction-diffusion problem. The 
flux reconstruction is based
on simple, independent post-processing operations over patches of el-
ements in conjunction with standard Raviart-Thomas vector fields
and gives upper bounds even in cases where Galerkin orthogonality
might be violated. If Galerkin orthogonality holds, we prove that the
corresponding local error indicators are locally efficient and robust
with respect to any mesh size and any size of the reaction coefficient,
including the singularly perturbed limit.},
  Preprint project = {NCMM},
     Preprint year = {2018},
   Preprint number = {14},
       Preprint ID = {NCMM/2018/14}
}