In this paper, we deal with the problem of determining perfectly insulating regions (cavities) from one boundary measurement in a nonlinear elliptic equation arising from cardiac electrophysiology. Based on the results obtained in [9] we propose a new reconstruction algorithm based on Gamma-convergence. The relevance and applicability of this approach are then shown through several numerical experiments.
On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology / Beretta E.; Cerutti M.C.; Pierotti D.; Ratti L.. - In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. - ISSN 1262-3377. - ELETTRONICO. - 29:(2023), pp. 36.1-36.33. [10.1051/cocv/2023026]
On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology
Ratti L.
2023
Abstract
In this paper, we deal with the problem of determining perfectly insulating regions (cavities) from one boundary measurement in a nonlinear elliptic equation arising from cardiac electrophysiology. Based on the results obtained in [9] we propose a new reconstruction algorithm based on Gamma-convergence. The relevance and applicability of this approach are then shown through several numerical experiments.| File | Dimensione | Formato | |
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