HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

Analytic extensions and Cauchy-type inverse problems on annular domains. I: theoretical aspects and stability results

Abstract : We consider the Cauchy issue of recovering boundary values on the inner circle of a two-dimensional annulus from available overdetermined data on the outer circle, for solutions to the Laplace equation. Using tools from complex analysis, Hardy classes and approximation, we establish stability properties and error estimates, as well as a recovery scheme, illustrated by some numerical computations.
Document type :
Reports
Complete list of metadata

Cited literature [1 references]  Display  Hide  Download

https://hal.inria.fr/inria-00070601
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Friday, May 19, 2006 - 8:58:47 PM
Last modification on : Friday, January 21, 2022 - 3:13:20 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:33:31 PM

Identifiers

  • HAL Id : inria-00070601, version 1

Collections

Citation

Amel Ben Abda, Juliette Leblond, Moncef Mahjoub, Jonathan R. Partington. Analytic extensions and Cauchy-type inverse problems on annular domains. I: theoretical aspects and stability results. [Research Report] RR-5402, INRIA. 2006, pp.27. ⟨inria-00070601⟩

Share

Metrics

Record views

158

Files downloads

124