Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. A rigorous error analysis E Beretta, E Francini, MS Vogelius Journal de mathématiques pures et appliquées 82 (10), 1277-1301, 2003 | 87 | 2003 |
Lipschitz stability for the electrical impedance tomography problem: the complex case E Beretta, E Francini Communications in Partial Differential Equations 36 (10), 1723-1749, 2011 | 81 | 2011 |
Recovering a complex coefficient in a planar domain from the Dirichlet-to-Neumann map E Francini Inverse Problems 16 (1), 107, 2000 | 77 | 2000 |
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of thin inhomogeneities E Beretta, E Francini Contemporary Mathematics 333, 49-62, 2003 | 53 | 2003 |
Reconstruction of small interface changes of an inclusion from modal measurements II: The elastic case H Ammari, E Beretta, E Francini, H Kang, M Lim Journal de mathématiques pures et appliquées 94 (3), 322-339, 2010 | 51 | 2010 |
Reconstruction of thin conductivity imperfections H Ammari, E Beretta, E Francini** Applicable Analysis 83 (1), 63-76, 2004 | 45 | 2004 |
Uniqueness and Lipschitz stability for the identification of Lam\'e parameters from boundary measurements E Beretta, E Francini, S Vessella arXiv preprint arXiv:1303.2443, 2013 | 41 | 2013 |
Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves E Beretta, MV de Hoop, E Francini, S Vessella, J Zhai Inverse Problems 33 (3), 035013, 2017 | 38 | 2017 |
SMALL VOLUME ASYMPTOTICS FOR ANISOTROPIC ELASTIC INCLUSIONS Beretta, Bonnetier, Francini, Mazzucato Inverse Problems and Imaging 6 (1), 1-23, 2012 | 37* | 2012 |
Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements H Ammari, E Beretta, E Francini, H Kang, M Lim Mathematics of computation 79 (271), 1757-1777, 2010 | 36 | 2010 |
Reconstruction of thin conductivity imperfections, II. The case of multiple segments H Ammari, E Beretta, E Francini Applicable Analysis 85 (1-3), 87-105, 2006 | 35 | 2006 |
Convexity and asymptotic estimates for large solutions of Hessian equations A Colesanti, E Francini, P Salani | 34 | 2000 |
An asymptotic formula for the displacement field in the presence of thin elastic inhomogeneities E Beretta, E Francini SIAM journal on mathematical analysis 38 (4), 1249-1261, 2006 | 31 | 2006 |
Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non-flat interfaces E Beretta, E Francini, A Morassi, E Rosset, S Vessella Inverse Problems 30 (12), 125005, 2014 | 25 | 2014 |
Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface M Di Cristo, E Francini, CL Lin, S Vessella, JN Wang Journal de Mathématiques Pures et Appliquées 108 (2), 163-206, 2017 | 23 | 2017 |
Stability for quantitative photoacoustic tomographywith well-chosen illuminations G Alessandrini, M Di Cristo, E Francini, S Vessella Annali di Matematica Pura ed Applicata (1923-) 196, 395-406, 2017 | 23 | 2017 |
Determination of a linear crack in an elastic body from boundary measurements—Lipschitz stability E Beretta, E Francini, S Vessella SIAM journal on mathematical analysis 40 (3), 984-1002, 2008 | 20 | 2008 |
An inverse problem for a higher-order parabolic equation VL Kamynin, E Franchini Mathematical Notes 64, 590-599, 1998 | 20 | 1998 |
Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements E Beretta, E Francini Applicable Analysis 101 (10), 3536-3549, 2022 | 19 | 2022 |
Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation E Beretta, MV de Hoop, E Francini, S Vessella Communications in Partial Differential Equations 40 (7), 1365-1392, 2015 | 19 | 2015 |