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SUMMARY:Plenary Lecture 7: Double obstacle phase field approach for an ell
 iptic inverse problem with discontinuous coefficients - Deckelnick\, K (Ot
 to-von-Guericke-Universitt Magdeburg)
DTSTART:20140625T123000Z
DTEND:20140625T131500Z
UID:TALK53158@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider the inverse problem of recovering interfaces where
  the diffusion coefficient in an elliptic PDE has jump discontinuities. We
  employ a least squares approach together with a perimeter regularization.
  A suitable relaxation of the perimeter leads to a sequence of Cahn--Hilli
 ard type functionals for which we obtain a $Gamma$--convergence result. Us
 ing a finite element discretization of the elliptic PDE and a suitable\nad
 joint problem we derive an iterative method in order to approximate discre
 te critical points. We prove  convergence of the iteration and present res
 ults of numerical tests. \n\nThis is joint work with C.M. Elliott (Warwick
 ) and V. Styles (Sussex).\n\n
LOCATION:Seminar Room 1\, Newton Institute
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