Identification of Current Sources in 3D Electrostatics

Aron Sommer (), Andreas Helfrich-Schkarbanenko () and Vincent Heuveline ()
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Aron Sommer: Leibniz Universität Hannover, Institut für Informationsverarbeitung (TNT)
Andreas Helfrich-Schkarbanenko: Karlsruhe Institute of Technology (KIT), Institute for Applied and Numerical Mathematics
Vincent Heuveline: Karlsruhe Institute of Technology, Engineering Mathematics and Computing Lab (EMCL)

A chapter in Handbook of Geomathematics, 2015, pp 1863-1885 from Springer

Abstract: Abstract Motivated by passive airborne geoexploration we consider a source identification problem. This problem setting arises in electrostatics and it turns out to be a linear, ill-posed inverse problem. After developing a theoretical framework for corresponding elliptic forward problem, an approach for reconstructing current sources from local electric potential data is illustrated. A pseudo-solution is achieved by means of Tikhonov regularization. The performance of the method is shown by three-dimensional synthetic and real-life numerical examples. For numerical modeling, we choose Method of Finite Elements provided by COMSOL Multiphysics and apply MATLAB for developing a reconstruction algorithm.

Keywords: Inverse Problem; Direct Problem; Tikhonov Regularization; Unique Solvability; Forward Problem (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-54551-1_85

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DOI: 10.1007/978-3-642-54551-1_85

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