The reciprocity likelihood maximization: a variational approach of the reciprocity gap method

Andrieux, Stéphane

doi:10.2140/jomms.2015.10.219

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The reciprocity likelihood maximization: a variational approach of the reciprocity gap method

Stéphane Andrieux

Vol. 10 (2015), No. 3, 219–237

DOI: 10.2140/jomms.2015.10.219

Abstract

We introduce a new concept allowing the recasting of the reciprocity gap method into a variational method. The reciprocity likelihood functional maximization gives rise to nested approximation properties when performed on minimization spaces with increasing dimensions and leads to direct identification methods grounded on the reciprocity property. Application to the identification of point sources is given for illustration of the solution procedure of identification, and an analysis of the effect of noisy data shows that the proposed methods exhibit very good robustness.

Keywords

inverse problems, reciprocity gap, sources identification

Milestones

Received: 12 February 2014

Revised: 6 November 2014

Accepted: 25 December 2014

Published: 26 August 2015

Authors

Stéphane Andrieux
Laboratoire de Mécanique des Structures Industrielles Durables UMR EDF-CNRS-CEA 8193 1 Avenue du Général de Gaulle 92141 Clamart France

Vol. 10, No. 3, 2015

Stéphane Andrieux

Abstract

Keywords

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Authors