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.
2023
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].
Beretta E.; Cerutti M.C.; Pierotti D.; Ratti L.
File in questo prodotto:
File Dimensione Formato  
cocv220134-3.pdf

accesso aperto

Tipo: Versione (PDF) editoriale
Licenza: Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione 1.11 MB
Formato Adobe PDF
1.11 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/960688
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact