| Issue |
ESAIM: COCV
Volume 29, 2023
|
|
|---|---|---|
| Article Number | 36 | |
| Number of page(s) | 33 | |
| DOI | https://doi.org/10.1051/cocv/2023026 | |
| Published online | 24 May 2023 | |
On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology
1
Division of Science, NYU, Abu Dhabi, UAE
2
Department of Mathematics, Politecnico di Milano, Italy
3
Department of Mathematics, University of Bologna, Italy
* Corresponding author: luca.ratti5@unibo.it
Received:
8
August
2022
Accepted:
5
April
2023
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 Γ-convergence. The relevance and applicability of this approach are then shown through several numerical experiments.
Mathematics Subject Classification: 35J25 / 35J61 / 35N25 / 35J20 / 92C50
Key words: Cardiac electrophysiology / nonlinear elliptic equation / inverse problem / reconstruction / Γ-convergence
© The authors. Published by EDP Sciences, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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