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The elliptic Cauchy problem revisited: Control of boundary data in natural norms
Authors:Erik Burman
Institution:Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, United Kingdom
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.
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