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Localization of the $W^{-1,q}$ norm for local a posteriori efficiency
Type of publication: Misc
Citation:
Publication status: Submitted
Year: 2016
URL: https://hal.inria.fr/hal-01332...
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
Keywords:
Authors Blechta, Jan
Málek, Josef
Vohralík, Martin
Added by: [JB]
Total mark: 0
Attachments
  • 2016_preprint_norms_nonlin_v2....
       (preprint version 2)
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