Publications

Gandolfi, Alberto, Andrea Aspri, Elena Beretta, Khola Jamshad, and Muyan Jiang. "A new threshold reveals the uncertainty about the effect of school opening on diffusion of Covid-19." Scientific reports 12, no. 1 (2022): 3012.

Aspri, Andrea, Elena Beretta, and Anna L. Mazzucato. "Dislocations in a layered elastic medium with applications to fault detection." Journal of the European Mathematical Society (2022).

Beretta, Elena, M. Cristina Cerutti, and Dario Pierotti. "On a nonlinear model in domains with cavities arising from cardiac electrophysiology." Inverse Problems 38, no. 10 (2022): 105005.

Aspri, Andrea, Elena Beretta, Anna L. Mazzucato, and Maarten V. De Hoop. "Analysis of a model of elastic dislocations in geophysics." Archive for Rational Mechanics and Analysis 236 (2020): 71-111.

Aspri, Andrea, Elena Beretta, and Edi Rosset. "On an elastic model arising from volcanology: an analysis of the direct and inverse problem." (2018) in press on JDE  

Beretta, Elena, Elisa Francini, and Sergio Vessella. "A transmission problem on a polygonal partition: regularity and shape differentiability." on press Applicable Analysis (2018): 1-13.

Beretta, E., Ratti, M. Verani "A phase field approach for the interface reconstruction in a nonlinear elliptic problem arising from cardiac electrophysiology" (2018) in press on Comm. Math. Sci.  

Beretta, Elena, Stefano Micheletti, Simona Perotto, and Matteo Santacesaria. "Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT." Journal of Computational Physics 353 (2018): 264-280.

Beretta, Elena, Andrea Manzoni, and Luca Ratti. "A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem." Inverse Problems 33, no. 3 (2017): 035010.

Beretta, Elena, Elisa Francini, And Sergio Vessella. "Derivability Of The Dirichlet To Neumann Map Under Movements Of Vertices Of Triangular Inclusions." SIAM J. Math Anal. 49 No. 2756–776 (2017) .

Aspri, Andrea, Elena Beretta, and Corrado Mascia. "Analysis of a Mogi-type model describing surface deformations induced by a magma chamber embedded in an elastic half-space." J. Ec. polytech. Math. 4 (2017), 223–255

Beretta, Elena, Maarten V. De Hoop, and Lingyun Qiu. "Lipschitz stability of an inverse boundary value problem for a Schrödinger-type equation." SIAM Journal on Mathematical Analysis 45, no. 2 (2013): 679-699.

Beretta, Elena, M. Cristina Cerutti, Andrea Manzoni, and Dario Pierotti. "An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology." Mathematical Models and Methods in Applied Sciences 26, no. 04 (2016): 645-670.

Beretta, Elena, Maarten V. De Hoop, Florian Faucher, and Otmar Scherzer. "Inverse boundary value problem for the Helmholtz equation: quantitative conditional Lipschitz stability estimates." SIAM Journal on Mathematical Analysis 48, no. 6 (2016): 3962-3983.

Beretta, E., M. V. de Hoop, E. Francini and S. Vessella " Lipschitz determination of interfaces in the Helmholtz equation from boundary data." Comm. PDE's (2015) 40 no. 7

Beretta, Elena, Elisa Francini, and Sergio Vessella. "Uniqueness and Lipschitz stability for the identification of Lam\'e parameters from boundary measurements." arXiv preprint arXiv:1303.2443 (2013).

Beretta, Elena, Elisa Francini, and Sergio Vessella. "Size estimates for the EIT problem with one measurement: the complex case." arXiv preprint arXiv:1108.0052 (2011).

Beretta, Elena, and Elisa Francini. "Lipschitz stability for the electrical impedance tomography problem: the complex case." Communications in Partial Differential Equations 36, no. 10 (2011): 1723-1749.

Ammari, Habib, Elena Beretta, Elisa Francini, Hyeonbae Kang, and Mikyoung Lim. "Reconstruction of small interface changes of an inclusion from modal measurements II: The elastic case." Journal de mathématiques pures et appliquées 94, no. 3 (2010): 322-339.