On a Non Linear Geometrical Inverse Problem of Signorini type : Identifiability and Stability - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1997

On a Non Linear Geometrical Inverse Problem of Signorini type : Identifiability and Stability

Abstract

This report deals with a non linear inverse problem of identification of unknown boundaries, on which the prescribed conditions are of Signorini type. We first prove an identifiability result, in both frameworks of steady state thermal and elastostatics testing. Local Lipschitz stability of the solutions with respect to the boundary measurements is also established, in case of unknown boundaries which are parts of ${\cal C}^{1,\beta}$ Jordan curves, with $\beta > 0$.
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Dates and versions

inria-00077198 , version 1 (29-05-2006)

Identifiers

  • HAL Id : inria-00077198 , version 1

Cite

Amel Ben Abda, Slim Chaabane, Fadi El Dabaghi, Mohamed Jaoua. On a Non Linear Geometrical Inverse Problem of Signorini type : Identifiability and Stability. [Research Report] RR-3175, INRIA. 1997. ⟨inria-00077198⟩
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