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The elliptic Cauchy problem revisited: Control of boundary data in natural norms

Burman, E; (2017) The elliptic Cauchy problem revisited: Control of boundary data in natural norms. Comptes Rendus Mathematique , 355 (4) pp. 479-484. 10.1016/j.crma.2017.02.014. Green open access

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Abstract

In this note, we prove error estimates in natural norms on the approximation of the boundary data in the elliptic Cauchy problem, for the finite element method first analysed in E. Burman, Error estimates for stabilised finite element methods applied to ill-posed problems, C. R. Acad. Sci. Paris, Ser. I 352 (7-8) (2014) 655-659.

Type: Article
Title: The elliptic Cauchy problem revisited: Control of boundary data in natural norms
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.crma.2017.02.014
Publisher version: http://dx.doi.org/10.1016/j.crma.2017.02.014
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1550269
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