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.
Beretta E., Cerutti M.C., Pierotti D., Ratti L. (2023). On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 29, 1-33 [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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