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Error estimates for stabilized finite element methods applied to ill-posed problems

Burman, E; (2014) Error estimates for stabilized finite element methods applied to ill-posed problems. Comptes Rendus Mathematique , 352 (7-8) pp. 655-659. 10.1016/j.crma.2014.06.008. Green open access

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Abstract

We propose an analysis for the stabilized finite element methods proposed in Burman (2013) [2] valid in the case of ill-posed problems for which only weak continuous dependence can be assumed. A priori and a posteriori error estimates are obtained without assuming coercivity or inf–sup stability of the continuous problem.

Type: Article
Title: Error estimates for stabilized finite element methods applied to ill-posed problems
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.crma.2014.06.008
Language: English
Additional information: Embargo period of accepted manuscript 12 months after publication.
UCL classification: UCL
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/1470709
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