dr. C.A. Pérez Arancibia (Carlos)

I am currently an Assistant Professor in the Mathematics of Computational Science (MACS) group at the University of Twente (UT), the Netherlands. My research interests lie in the intersection of wave phenomena, boundary integral equations, and high-order PDE solvers.

Before joining UT, I was with the Institute for Mathematical and Computational Engineering at the Pontificia Universidad Católica de Chile (PUC). I joined PUC after two years as an Instructor in Applied Mathematics in the Department of Mathematics of the Massachusetts Institute of Technology (MIT) where I worked with Prof. Steven Johnson and taught, among others, the graduate course "Fast Methods for Partial Differential and Integral Equations" (18.336).

I got a Ph.D. in Applied and Computational Mathematics from the California Institute of Technology (Caltech) in 2016 under Prof. Oscar Bruno, and both a master's and a bachelor's degree in Mathematical Engineering from PUC, where I was supported by Premio Padre Alberto Hurtado and CONICYT, respectively.

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

# 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

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. [12540]. https://doi.org/10.1111/sapm.12540

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. 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, [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. [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, 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, 376, 411-434. https://doi.org/10.1016/j.jcp.2018.10.002, 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. A., Godoy, E., & Durán, M. (2018). Modeling and simulation of an acoustic well stimulation method. Wave motion, 77, 214-228. https://doi.org/10.1016/j.wavemoti.2017.12.005, https://doi.org/10.1016/j.wavemoti.2017.12.005

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

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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.