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dr. C.A. Pérez Arancibia (Carlos)

Assistant Professor

About Me

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.

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
Strauszer, T., Faria, L. M., Fernandez-Lado, A. , & Perez-Arancibia, C. (2022). Windowed Green function method for wave scattering by periodic arrays of 2D obstacles. Studies in Applied Mathematics, [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, [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. [9142319]. https://doi.org/10.1109/TAP.2020.3008616
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

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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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