dr. C.A. Pérez Arancibia (Carlos)

I am an Assistant Professor (UD-1, with tenure) in the Mathematics of Computational Science (MACS) group at the University of Twente (UT), The Netherlands.

My research focuses on wave phenomena, boundary integral equations, and high-order PDE solvers.

Before joining UT, I was with the Institute for Mathematical and Computational Engineering at Pontificia Universidad Católica de Chile (PUC). Prior to that, I spent two years as an Instructor in Applied Mathematics at the Massachusetts Institute of Technology (MIT) - Department of Mathematics, where I mainly worked with Prof. Steven Johnson. At MIT, I taught various courses, including the graduate course "Fast Methods for Partial Differential and Integral Equations" (18.336).

I hold a Ph.D. in Applied and Computational Mathematics from the California Institute of Technology (Caltech), awarded in 2016 under the guidance of Prof. Oscar Bruno. Additionally, I obtained a master's and a bachelor's degree in Mathematical Engineering from PUC, with support from Premio Padre Hurtado and CONICYT, respectively.

Engineering & Materials Science

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

Mathematics

# Boundary Integral Equations
# Green'S Function
# Layered Media

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

https://caperezar.github.io/research.html

Bonnet-Ben Dhia, A-S., Faria, L. M. , & Pérez-Arancibia, C. (2023). A complex-scaled boundary integral equation for time-harmonic water waves. ArXiv.org. https://doi.org/10.48550/arXiv.2310.04127

Faria, L. , Perez-arancibia, C., & Turc, C. (2023). Combined field-only boundary integral equations for PEC electromagnetic scattering problem in spherical geometries.

Anderson, T. G., Bonnet, M., Faria, L. M. , & Pérez-Arancibia, C. (2023). On particular solutions of linear partial differential equations with polynomial right-hand-sides.

Strauszer, T., Faria, L. M., Fernandez-Lado, A. , & Perez-Arancibia, C. (2023). Windowed Green function method for wave scattering by periodic arrays of 2D obstacles. Studies in Applied Mathematics, 150(1), 277-315. Article 12540. Advance online publication. https://doi.org/10.1111/sapm.12540

Anderson, T. G., Bonnet, M., Faria, L. M. , & Pérez-Arancibia, C. (2022). Fast, high-order numerical evaluation of volume potentials via polynomial density interpolation.

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. , & Perez-Arancibia, C. (2022). 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. Advance online publication. https://doi.org/10.1109/TAP.2022.3209245

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, Article 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 & 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. Article 9142319. Advance online publication. 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, Article 44. Advance online publication. 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. Advance online publication. https://doi.org/10.1137/19m1239866, https://doi.org/10.1137/19M1239866

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https://caperezar.github.io/teaching.html

Courses in the current academic year are added at the moment they are finalised in the Osiris system. Therefore it is possible that the list is not yet complete for the whole academic year.