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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. 7Beretta, Elena, Markus Grasmair, Monika Muszkieta, and Otmar Scherzer. "A variational algorithm for the detection of line segments." arXiv preprint arXiv:1306.2466 (2013).
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.