M. Essahraoui, E. Cherrat, L. Afraites, and J. F. T. Rabago
Simultaneous recovery of corroded boundaries and admittance using the Kohn-Vogelius method
arXiv:
doi:
M. Machida, H. Notsu, and J. F. T. Rabago
Reconstruction approach for optical tomography with fluorophores by single boundary measurement
arXiv:
doi:
E. Cherrat, L. Afraites, and J. F. T. Rabago
Numerical solution by shape optimization method to an inverse shape problem in multi-dimensional advection-diffusion problem with space dependent coefficients
arXiv:
doi:
J. F. T. Rabago and M. Kimura
On the well-posedness of a Hele-Shaw-like system resulting from an inverse geometry problem formulated through a shape optimization setting
arXiv:2407.03083
doi:
J. F. T. Rabago, H. Notsu, and L. Afraites
Detecting immersed obstacle in Stokes fluid flow using the coupled complex boundary method (accepted in SICON)
arXiv:2403.11819
doi:
J. F. T. Rabago, A. Hadri, L. Afraites, A. S. Hendy, and M. A. Zaky
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting
Computers & Mathematics with Applications, Volume 175, September 2024, Pages 19-32
arXiv:2301.10355v3
doi:10.1016/j.camwa.2024.08.034
L. Afraites and J. F. T. Rabago
Boundary shape reconstruction with Robin condition: existence result, stability analysis, and inversion via multiple measurements
Computational and Applied Mathematics, Volume 43, 2024, Article Number 270, 37 pages
arXiv:2404.05202
doi:10.1007/s40314-024-02741-3
Y. Sunayama, M. Kimura, and J. F. T. Rabago
Comoving mesh method for multi-dimensional moving boundary problems: mean-curvature flow and Stefan problems
Mathematics and Computers in Simulation, Volume 221, July 2024, Pages 589-605
[PDF]
doi:10.1016/j.matcom.2024.03.020
J. F. T. Rabago and H. Notsu
Numerical solution to a free boundary problem for the Stokes equation using the coupled complex boundary method in shape optimization settings
Applied Mathematics and Optimization, Volume 89, 2024, Article Number 2, 56 pages
[PDF]
doi:10.1007/s00245-023-10065-7
E. Cherrat, L. Afraites, and J. F. T. Rabago
Shape reconstruction for advection-diffusion problems by shape optimization method: the case of constant velocity
Discrete and Continuous Dynamical Systems Series S, Volume 18, Issue 1, 2025, Pages 296-320
[PDF]
doi:10.3934/dcdss.2023186
L. Afraites and J. F. T. Rabago
Shape optimization methods for detecting an unknown boundary with the Robin condition by a single measurement
Discrete and Continuous Dynamical Systems Series S, Volume 18, Issue 1, 2025, Pages 43-76
[PDF]
doi:10.3934/dcdss.2022196
J. F. T. Rabago
Numerical solution to the exterior Bernoulli problem using the Dirichlet-Robin energy gap cost functional approach in two and three dimensions
Numerical Algorithms, Volume 94, February 2023, Pages 175-227
[PDF]
doi:10.1007/s11075-023-01497-x
J. F. T. Rabago
On the new coupled complex boundary method in shape optimization framework for solving stationary free boundary problems
Mathematical of Control and Related Fields, Volume 13, Number 4, December 2023, Pages 1362-1398
[PDF]
doi:10.3934/mcrf.2022041
Y. Sunayama, J. F. T. Rabago, and M. Kimura
Comoving mesh method for certain classes of moving boundary problems
Japan Journal of Industrial and Applied Mathematics, Volume 39, August 2022, Pages 973–1001
[PDF]
doi:10.1007/s13160-022-00524-z
J. F. T. Rabago and H. Azegami
A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional
Computational Optimization and Applications, Volume 77, June 2020, Pages 251-305
[PDF]
doi:10.1007/s10589-020-00199-7
J. F. T. Rabago and H. Azegami
A new energy-gap cost functional approach for the exterior Bernoulli free boundary problem
Evolution Equations and Control Theory, Volume 8, Number 4, June 2019, Pages 785-824
[PDF]
doi:10.3934/eect.2019038
J. F. T. Rabago and H. Azegami
An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data
Journal of Engineering Mathematics, Volume 117, Number 1, June 2019, Pages 1-29
[PDF]
doi:10.1007/s10665-019-10005-x
J. F. T. Rabago and H. Azegami
Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement
Japan Journal of Industrial and Applied Mathematics, Volume 36, Number 1, June 2019, Pages 131-176
[PDF]
doi:10.1007/s13160-018-0337-5
J. F. T. Rabago and J. B. Bacani
Shape optimization approach for solving the Bernoulli problem by tracking the Neumann data: a Lagrangian formulation
Communications in Pure Applied Analysis, Volume 17, Number 6, June 2018, Pages 2683-2702
[PDF]
doi:10.3934/cpaa.2018127
J. F. T. Rabago and J. B. Bacani
Shape optimization approach to the Bernoulli problem: a Lagrangian formulation
IAENG International Journal of Applied Mathematics, Volume 47, Number 4, November 2017, Pages 417-424
[PDF]
doi:
J. B. Bacani and J. F. T. Rabago
On the second-order shape derivative of the Kohn-Vogelius objective functional using the velocity method
International Journal of Differential Equations, Volume 2015, December 2015, Article ID 954836, 10pp
[PDF]
doi:10.1155/2015/954836