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dr. C.A. Pérez Arancibia (Carlos)

Assistant Professor

About Me

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.


Expertise

Engineering & Materials Science
Boundary Integral Equations
Green'S Function
Integral Equations
Interpolation
Scattering
Mathematics
Boundary Integral Equations
Green'S Function
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Research

Publications

Recent
Anderson, T. G., Bonnet, M., Faria, L. M. , & Pérez-Arancibia, C. (2024). Construction of polynomial particular solutions of linear constant-coefficient partial differential equations. Computers & mathematics with applications, 162, 94-103. Advance online publication. https://doi.org/10.1016/j.camwa.2024.02.045
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. https://doi.org/10.1111/sapm.12540
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
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. https://doi.org/10.1109/TAP.2020.3008616

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Contact Details

Visiting Address

University of Twente
Drienerlolaan 5
7522 NB Enschede
The Netherlands

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Mailing Address

University of Twente
P.O. Box 217
7500 AE Enschede
The Netherlands

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