Early Work
| ‘On 3D modeling of seismic wave propagation via a structured massively parallel multifrontal direct Helmholtz solver’, Geophys. Prosp. 59 (2011) 857-873, doi: 10.1111/j.1365-2478.2011.00982.x, with S. Wang and J. Xia View |
| ‘Lipschitz stability of an inverse boundary value problem for a Schrödinger type equation’, SIAM J. Math. Anal. 45 (2013) 679-699, doi: 10.1137/120869201, with E. Beretta and L. Qiu View |
Analysis and Guarantees
| ‘Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation’, Comm. Partial Differential Equations 40 (2015) 1365-1392, doi: 10.1080/03605302.2015.1007379, with E. Beretta, E. Francini and S. Vessella View |
| ‘Lipschitz stability for a piecewise linear Schrödinger potential from local Cauchy data’, Asympt. Anal. 108 (2017) 115-149, with G. Alessandrini, R. Gaburro and E. Sincich View |
| ‘Uniqueness and Lipschitz stability of an inverse boundary value problem for time harmonic elastic waves’, Inverse Problems 33 (2017) 035013, doi:10.1088/1361-6420/aa5bef, with E. Beretta, E. Francini, S. Vessella and J. Zhai View |
Optimization
| ‘Local analysis of inverse problems: Hölder stability and iterative reconstruction’, Inverse Problems 28 (2012) 045001, doi:10.1088/0266-5611/28/4/045001, with L. Qiu and O. Scherzer View |
| ‘An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints’, Numerische Mathematik 129 (2015) 127-148, doi: 10.1007/s00211-014-0629-x, with L. Qiu. and O. Scherzer View |
| ‘Optimal convergence rates results for linear inverse problems in Hilbert spaces’,, Numerical Functional Analysis and Optimization 37 (2016) 521-540, doi: 10.1080/01630563.2016.1144070, with V. Albani, P. Elbau and O. Scherzer View |
FWI, Frequency Progression and Convergence
| ‘Inverse boundary value problem for the Helmholtz equation: Quantitative conditional Lipschitz stability estimates’, SIAM J. Math. Anal. 48 (2016) 3962-3983, doi: 10.1137/15M1043856, with E. Beretta, F. Faucher and O. Scherzer View |
| ‘Iterative reconstruction of the wave speed for the wave equation with bounded frequency boundary data’, Inverse Problems 32 (2016) 025008, doi:10.1088/0266-5611/32/2/025008, with K. Datchev View |
| ‘Full reciprocity-gap waveform inversion, enabling sparse-source acquisition’, Geophysics 85(6) (2020) R461–R476, doi:10.1190/geo2019-0527.1, with F. Faucher, G. Alessandrini, H. Barucq, R. Gaburro and E. Sincich View |
Fast Algorithms, Massively Parallel Computing
| ‘Parallel randomized and matrix-free direct solvers for large structured dense linear systems’, SIAM J. Sci. Comp. 38 (2016) S508-S538, doi: 10.1137/15M1023774, with X. Liu and J. Xia View |
| ‘Solving the three-dimensional high-frequency Helmholtz equation using contour integration and polynomial preconditioning’, SIAM J. Matrix Anal. Appl. 41 (2020) 58-82, doi:10.1137/18M1228128, with X. Liu, Y. Xi and Y. Saad View |
| ‘Fast factorization update for general elliptic equations under multiple coefficient updates’, SIAM J. Sci. Comp. 42 (2020) A1174-A1199, doi:10.1137/18M1224623, with X. Liu and J. Xia View |