27. T. G. Anderson, M. Bonnet, L. Faria, and C. Pérez-Arancibia, Fast, high-order numerical evaluation of volume potentials via polynomial density interpolation, submitted, 2023.
+26. V. Hojas, C. Pérez-Arancibia, and M. A. Sánchez, Reflectionless discrete perfectly matched layers for higher-order finite difference schemes, submitted, 2023.
25. A.-S. Bonnet-Ben Dhia, L. Faria, and C. Pérez-Arancibia, A complex-scaled boundary integral equation for time-harmonic water waves, to appear in SIAM Journal on Applied Mathematics, 2024.
24. T. G. Anderson, M. Bonnet, L. Faria, and C. Pérez-Arancibia, Construction of polynomial particular solutions of linear constant-coefficient partial differential equations, Computer and Mathematics with Applications, 162, 2024.
+23. L. Faria, C. Pérez-Arancibia, and C. Turc, Combined field-only boundary integral equations for PEC electromagnetic scattering problem in spherical geometries, SIAM Journal on Applied Mathematics, 84(1), 2024.
+22. R. Strauszer, L. Faria, A. Fernandez, and C. Pérez-Arancibia, Windowed Green function method for wave scattering by periodic arrays of 2D obstacles, Studies in Applied Mathematics, 150(1):277-315, 2023.
+21. R. Arrieta and C. Pérez-Arancibia, Windowed Green function MoM for second-kind surface integral equation formulations of layered media electromagnetic scattering problems, IEEE Transactions on Antennas and Propagation, 70(12):11978-11989, 2022.
20. L. Faria, C. Pérez-Arancibia, and M. Bonnet, General-purpose kernel regularization of boundary integral equations via density interpolation, Computer Methods in Applied Mechanics and Engineering, 378.113703, 2021.
+19. V. Gómez and C. Pérez-Arancibia, On the regularization of Cauchy-type integral operators via the density interpolation method and applications. Computer and Mathematics with Applications, 87:107-119, 2021.
18. C. Pérez-Arancibia, C. Turc, L. Faria, and C. Sideris, Planewave density interpolation methods for the EFIE on simple and composite surfaces, IEEE Transactions on Antennas and Propagation, 69(1):317-331, 2021.
17. D. Nicholls, C. Pérez-Arancibia and C. Turc, Sweeping preconditioners for the iterative solution of quasiperiodic Helmholtz transmission problems in layered media, Journal of Scientific Computing, 82(44):1-45, 2020.
+16. I. Labarca, L. Faria and C. Pérez-Arancibia, Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019.0029, 2019.
15. C. Pérez-Arancibia, C. Turc and L. Faria, Planewave density interpolation methods for 3D Helmholtz boundary integral equations, SIAM Journal on Scientific Computing, 41(4):A2065-A2087, 2019.
14. C. Pérez-Arancibia, S. Shipman, C. Turc and S. Venakides, Domain decomposition for quasi-periodic scattering by layered media via robust boundary-integral equations at all frequencies, Communications in Computational Physics, 26:265-310, 2019.
13. C. Pérez-Arancibia, L. Faria and C. Turc, Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D, Journal of Computational Physics, 376:411-434, 2019.
12. R. Pestourie, C. Pérez-Arancibia, Z. Lin, W. Shin, F. Capasso and S. G. Johnson, Inverse design of large-area metasurfaces, Optics Express, 26(23), 2018.
11. C. Pérez-Arancibia, R. Pestourie and S. G. Johnson, Sideways adiabaticity: beyond ray optics for slowly varying metasurfaces, Optics Express, 26(23):335299, 2018.
10. C. Pérez-Arancibia, E. Godoy and M. Durán, Modeling and simulation of an acoustic well stimulation method, Wave Motion, 77: 214-228, 2018.
9. C. Pérez-Arancibia, A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations, Applied Numerical Mathematics, 123:221-240, 2018.
8. C. Jerez-Hanckes, C. Pérez-Arancibia and C. Turc, Multitrace/singletrace formulations and Domain Decomposition Methods for the solution of Helmholtz transmission problems for bounded composite scatterers, Journal of Computational Physics, 350:343-360, 2017.
7. O. P. Bruno, E. Garza-Gonzalez and C. Pérez-Arancibia, Windowed Green Function method for nonuniform open-waveguide problems, IEEE Transactions on Antennas and Propagation, 65(9):4684-4692, 2017.
6. O. P. Bruno and C. Pérez-Arancibia, Windowed Green Function method for the Helmholtz equation in presence of multiply layered media, Proceedings of the Royal Society A: Mathematical, Physical and Egineering Sciences, 473(2202), 2017.
5. O. P. Bruno, M. Lyon, C. Pérez-Arancibia and C. Turc, Windowed Green Function method for layered-media scattering, SIAM Journal on Applied Mathematics, 76(5):1871–1898, 2016.
4. C. Pérez-Arancibia, P. Zhang, O. P. Bruno and Y. Y. Lau, Electromagnetic power absorption due to bumps and trenches on flat surfaces, Journal of Applied Physics, 16(124904), 2014.
3. C. Pérez-Arancibia and O. P. Bruno, High-order integral equation methods for problems of scattering by bumps and cavities on half-planes, Journal of The Optical Society of America A, 31(8):1738-1746, 2014.
2. C. Pérez-Arancibia, P. Ramaciotti, R. Hein and M. Durán, Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition, Computer Methods in Applied Mechanics and Engineering, 233(1):152-163, 2012.
1. C. Pérez-Arancibia and M. Durán, On the Green’s function for the Helmholtz operator in an impedance circular cylindrical waveguide, Journal of Computational and Applied Mathematics, 235(1):244-262, 2010.
Conference (Peer Reviewed) Papers
3. R. Arrieta, L. Faria, C. Pérez-Arancibia, and C. Turc. A high-order density-interpolation-based Nyström method for three-dimensional electromagnetic boundary integral equations. WAVES 2022: The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, July 24–29 2022, Palaiseau, France.
2. J. Hu, E. Garza, C. Pérez-Arancibia, and C. Sideris. High-Order accurate integral equation based mode solver for layered nanophotonic waveguides. International Microwave Symposium, 6–11 June 2021, Atlanta, GA, USA.
1. C. Pérez-Arancibia and O. P. Bruno. A high-order integral equation solver for problems of electromagnetic scat- tering by three-dimensional open surfaces. WAVES 2015: The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, 20–24 July 2015, Karlsruhe, Germany.
Theses
C. Pérez-Arancibia, Windowed integral equation methods for problems of scattering by defects and obstacles in layered media. Ph.D. Thesis, California Institute of Technology, August 2016.
C. Pérez-Arancibia, Modeling and simulation of time-harmonic wave propagation in cylindrical impedance guides: Application to an oil well stimulation technology. Master's Thesis, Pontificia Universidad Católica de Chile, May 2010.