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A Simple Approach to Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Problems
Type of publication: Misc
Citation:
Publication status: Submitted
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
Keywords:
Authors Ainsworth, Mark
Vejchodský, Tomáš
Added by: [MB]
Total mark: 0
Attachments
  • robustBS_MU.pdf
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