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Discrete approximation and regularisation for the inverse conductivity problem
Rondi, Luca
2016
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e-ISSN
2464-8728
Abstract
We study the inverse conductivity problem with discontinuous conductivities. We consider, simultaneously, a regularisation and a discretisation for a variational approach to solve the inverse problem. We show that, under suitable choices of the regularisation and discreti-sation parameters, the discrete regularised solutions converge, as the noise level on the measurements goes to zero, to the looked for solution of the inverse problem.
Series
Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
48 (2016)
Publisher
EUT Edizioni Università di Trieste
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