On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology

E. Beretta; M. C. Cerutti; D. Pierotti; L. Ratti

doi:10.1051/cocv/2023026

On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology

E. Beretta, M. C. Cerutti, D. Pierotti, L. Ratti

Mathematics

Research output: Contribution to journal › Article › peer-review

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 I-convergence. The relevance and applicability of this approach are then shown through several numerical experiments.

Original language	English (US)
Article number	36
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	29
DOIs	https://doi.org/10.1051/cocv/2023026
State	Published - 2023

Keywords

Cardiac electrophysiology
I-convergence
Inverse problem
Nonlinear elliptic equation
Reconstruction

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Computational Mathematics

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10.1051/cocv/2023026

Cite this

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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 I-convergence. The relevance and applicability of this approach are then shown through several numerical experiments.",

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KW - I-convergence

KW - Inverse problem

KW - Nonlinear elliptic equation

KW - Reconstruction

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On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology

Abstract

Keywords

ASJC Scopus subject areas

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