Data di Pubblicazione:
2016
Citazione:
Discrete approximation and regularisation for the inverse conductivity problem / L. Rondi. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - 48:1(2016), pp. 315-352. [10.13137/2464-8728/13162]
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 discretisation 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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Inverse problems; Instability; Regularisation; Gamma-convergence; Total variation; Finite elements
Elenco autori:
L. Rondi
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