dr. C.A. Pérez Arancibia (Carlos)

I am an Assistant Professor of Numerical Analysis and Scientific Computing in the Department of Applied Mathematics at the University of Twente (UT). My research interests lie in the intersection of wave phenomena, boundary integral equations, and high-order PDE solvers.

Before joining UT, I was an Assistant Professor of the Institute of Mathematical and Computational Engineering at the Pontificia Universidad Católica de Chile (PUC). Before that, I was an Instructor in Applied Mathematics in the Department of Mathematics at MIT. I received a Ph.D. in Applied and Computational Mathematics from Caltech in 2016, working with Prof. Oscar Bruno. Before, Caltech, I got a master's in Engineering Sciences and a bachelor's in Mathematical Engineering, both from PUC.

I am currently seeking highly motivated graduate and undergraduate students who want to pursue research in applied mathematics. If you're one, and you're interested in my research, please do not hesitate to contact me.

Engineering & Materials Science

# Boundary Integral Equations
# Green'S Function
# Integral Equations
# Interpolation
# Scattering

Mathematics

# Green'S Function
# Interpolation Method
# Layered Media

Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS), Mathematics of Computational Science (MACS)

Strauszer, T., Faria, L. M. , & Perez-Arancibia, C. (2022). Windowed Green function method for acoustic and electromagnetic wave scattering by periodic media. In Conference on Mathematics of Wave Phenomena (pp. 54-54) https://conference22.waves.kit.edu/BoA.pdf

Arrieta, R., Faria, L. M. , Perez-Arancibia, C., & Turc, C. (2022). A High-order Density-Interpolation-Based Nyström Method for Three-Dimensional Electromagnetic Boundary Integral Equations. In The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 158-159) https://filesender.renater.fr/download.php?token=400b0beb-ad4b-49de-9268-b5097fe1d5c0&files_ids=16517819

Hu, J., Emmanuel, G. , Perez-Arancibia, C., & Sideris, C. (2021). High-Order Accurate Integral Equation Based Mode Solver for Layered Nanophotonic Waveguides. In 2021 IEEE MTT-S International Microwave Symposium (IMS) (pp. 128-131) https://doi.org/10.1109/IMS19712.2021.9574857

Faria, L. M. , Pérez-Arancibia, C., & Bonnet, M. (2021). General-purpose kernel regularization of boundary integral equations via density interpolation. Computer methods in applied mechanics and engineering, 378, [113703]. https://doi.org/10.1016/j.cma.2021.113703

Gómez, V. , & Pérez-Arancibia, C. (2021). On the regularization of Cauchy-type integral operators via the density interpolation method and applications. Computers and mathematics with applications, 87, 107-119. https://doi.org/10.1016/j.camwa.2021.02.002

Perez-Arancibia, C., Turc, C., Faria, L. M., & Sideris, C. (2021). Planewave Density Interpolation Methods for the EFIE on Simple and Composite Surfaces. IEEE transactions on antennas and propagation, 69(1), 317-331. [9142319]. https://doi.org/10.1109/TAP.2020.3008616

Nicholls, D. P. , Pérez-Arancibia, C., & Turc, C. (2020). Sweeping Preconditioners for the Iterative Solution of Quasiperiodic Helmholtz Transmission Problems in Layered Media. Journal of scientific computing, 82, [44]. https://doi.org/10.1007/s10915-020-01133-z

Pérez-Arancibia, C., Shipman, S. P., Turc, C., & Venakides, S. (2019). Domain Decomposition for Quasi-Periodic Scattering by Layered Media via Robust Boundary-Integral Equations at All Frequencies. Communications in computational physics, 26(1), 265-310. https://doi.org/10.4208/cicp.OA-2018-0021

Pérez Arancibia, C. A., Turc, C., & Faria, L. M. (2019). Planewave Density Interpolation Methods for 3D Helmholtz Boundary Integral Equations. SIAM journal on scientific computing, 41(4), A2088-A2116. https://doi.org/10.1137/19m1239866

Pérez-Arancibia, C., Faria, L. M., & Turc, C. (2019). Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D. Journal of computational physics, 411-434. https://doi.org/10.1016/j.jcp.2018.10.002

Labarca, I., Faria, L. M. , & Pérez-Arancibia, C. (2019). Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces. Proceedings of the Royal Society A: mathematical, physical and engineering sciences, 475(2227). https://doi.org/10.1098/rspa.2019.0029

Pérez-Arancibia, C. (2018). A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations. Applied numerical mathematics, 123, 221-240. https://doi.org/10.1016/j.apnum.2017.09.008

Pestourie, R. , Pérez-Arancibia, C., Lin, Z., Shin, W., Capasso, F., & Johnson, S. G. (2018). Inverse design of large-area metasurfaces. Optics express, 26(26). https://doi.org/10.1364/OE.26.033732

Pérez-Arancibia, C., Pestourie, R., & Johnson, S. G. (2018). Sideways adiabaticity: beyond ray optics for slowly varying metasurfaces. Optics express, 26(23), 30202-30230. https://doi.org/10.1364/OE.26.030202

Bruno, O. P., Garza, E. , & Pérez-Arancibia, C. (2017). Windowed green function method for nonuniform open-waveguide problems. IEEE transactions on antennas and propagation, 4684-4692. https://doi.org/10.1109/TAP.2017.2728118

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