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Carlos Borges
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Fast, adaptive, high-order accurate discretization of the Lippmann--Schwinger equation in two dimensions
S Ambikasaran, C Borges, LM Imbert-Gerard, L Greengard
SIAM Journal on Scientific Computing 38 (3), A1770-A1787, 2016
372016
High resolution inverse scattering in two dimensions using recursive linearization
C Borges, A Gillman, L Greengard
SIAM Journal on Imaging Sciences 10 (2), 641-664, 2017
362017
Inverse obstacle scattering in two dimensions with multiple frequency data and multiple angles of incidence
C Borges, L Greengard
SIAM Journal on Imaging Sciences 8 (1), 280-298, 2015
232015
Inverse scattering reconstruction of a three dimensional sound-soft axis-symmetric impenetrable object
C Borges, J Lai
Inverse Problems 36 (10), 105005, 2020
52020
A neural network warm-start approach for the inverse acoustic obstacle scattering problem
M Zhou, J Han, M Rachh, C Borges
Journal of Computational Physics 490, 112341, 2023
42023
Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization
C Borges, M Rachh
Advances in Computational Mathematics 48 (1), 2, 2022
32022
Reconstruction of a compactly supported sound profile in the presence of a random background medium
C Borges, G Biros
Inverse Problems 34 (11), 115007, 2018
22018
Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data
T Askham, C Borges, J Hoskins, M Rachh
Journal of Scientific Computing 98 (1), 15, 2024
12024
On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary
C Borges, M Rachh, L Greengard
Inverse Problems 39 (3), 035004, 2023
12023
A domain decomposition preconditioning for the integral equation formulation of the inverse scattering problem
C Borges, G Biros
arXiv preprint arXiv:1901.09162, 2019
12019
A multifrequency method for the solution of the acoustic inverse scattering problem
CEC Borges
Worcester Polytechnic Institute, 2012
12012
Reconstructing the shape and material parameters of dissipative obstacles using an impedance model
T Askham, C Borges
arXiv preprint arXiv:2311.18110, 2023
2023
A domain decomposition preconditioning for an inverse volume scattering problem
C Borges, G Biros
Inverse problems 36 (3), 035016, 2020
2020
VOLUME INTEGRAL METHODS FOR THE HELMHOLTZ EQUATION WITH VARIABLE COEFFICIENTS.
S AMBIKASARAN, C BORGES, LM IMBERT-GÉRARD, L GREENGARD
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Articles 1–14