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 | |
| Added by: | [JB] |
| Total mark: | 0 |
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