Publications
Publications listed on Google Scholar
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C. Carvalho, Z. Moitier, Scattering resonances for unbounded transmission problems with sign-changing coefficient, IMA Journal of Applied Mathematics, 88(2023), pp. 215-257.
[Paper][Codes]
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C. Carvalho, C. Ciarlet Jr., C. Scheid, Limiting amplitude principle and resonances in plasmonic structures with corners: numerical investigation, Computer Methods in Applied Mechanics and Engineering, 388(2022), 114207. [Paper]
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C. Carvalho,
Modified representations for the close evaluation problem, Mathematical and Computational Applications, 26(2021), 69.
[Paper]
[Codes]
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C. Carvalho, A. D. Kim, L. Lewis, Z. Moitier, Quadrature by Parity Asymptotic eXpansions (QPAX) for scattering by high aspect ratio particles, SIAM Multiscale Modeling and Simulation, 19(2021), 1857--1884. [Preprint][Codes]
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S. Khatri, A. D. Kim, R. Cortes, C. Carvalho,
Close evaluation for layer potentials in three dimensions,
Journal of Computational Physics, 423(2020), 109798.
[Preprint]
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C. Carvalho, S. Khatri, A. D. Kim,
Asymptotic approximations for the close evaluation of double-layer potentials,
SIAM Journal for Scientific Computing, 42(2020), A504--A533. [Preprint]
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P. Sakkaplangkul, V. Bokil,
A fully fourth order accurate energy stable FDTD method for Maxwell's equations in metamaterials,
C. Carvalho, IEEE Journal on Multiscale and Multiphysics Computational Techniques, 4(2019), 260--268. [Preprint]
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C. Carvalho, S. Khatri, A. D. Kim,
Asymptotic analysis for close evaluation for layer potentials,
Journal of Computational Physics, 655(2018), 327--341. [Preprint]
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A.-S. Bonnet-Ben Dhia, C. Carvalho, P. Ciarlet Jr.,
Mesh requirements for the finite element approximation of problems with sign-changing coefficients,
Numerische Mathematik, 138(2018), 1--38. [Preprint]
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C. Carvalho, L. Chesnel, P. Ciarlet Jr.,
Eigenvalue problems with sign-changing coefficients,
Compte Rendus Mathématiques, 355(2017), 671--675. [Preprint]
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A.-S. Bonnet-Ben Dhia, C. Carvalho, L. Chesnel, P. Ciarlet Jr.,
On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients,
Journal of Computational Physics, 322(2016), 224--247. [Preprint]
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A.-S. Bonnet-Ben Dhia, C. Carvalho, L. Chesnel, P. Ciarlet Jr.,
Plasmonic cavity modes: black-hole phenomena captured by Perfectly Matched Layers,
PROCEEDING of PIERS 2013 in Stockholm, (2013), 638--642.
Proceedings
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C. Carvalho, B. Latham,
Plane Wave DG Method for Solving Helmholtz Equation in Complex Media, WAVES, Berlin, 2024.
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C. Carvalho, S. Chaillat, E. A. Cortes, C. Tsogka, Fast and accurate boundary integral equation methods for the multi-layer transmission problem, WAVES, Berlin, 2024.
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C. Carvalho, A. D. Kim, C. McCullough, Close evaluation of layer potentials in 3D for the multiple scattering, WAVES, Berlin, 2024.
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M. Bussonnier, C. Carvalho,
Papyri: better documentation for the scientific ecosystem in Jupyter, Proceedings of the 21st Python in Science Conference (SciPy 2022), pp. 65-72, 2022. [ Preprint ]
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C. Carvalho, A. D. Kim, B. Latham,
Capturing plasmonic behaviors in light scattering by spheres using finite element methods and asymptotic quadrature, WAVES, Palaiseau, 2022.
[ Preprint ]
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C. Carvalho, E. A. Cortes, C. Tsogka,
Boundary Integral Equation Methods for Optical Cloaking Models, WAVES, Palaiseau, 2022. [ Preprint ]
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C. Carvalho, A. D. Kim, C. McCullough,
Asymptotic analysis for sound-hard acoustic scattering by two closely-situated spheres, WAVES, Palaiseau, 2022. [ Preprint ]
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C. Carvalho, A. D. Kim, Z. Moitier,
Quadrature by Parity Asymptotic eXpansions (QPAX) for light scattering by high aspect ratio plasmonic particle, WAVES, Palaiseau, 2022. [ Preprint ]
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C. Carvalho, S. Khatri, A. D. Kim,
Local analysis of near fields in acoustic scattering, WAVES, Minneapolis, 2017. [ Preprint ]
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A.-S. Bonnet-Ben Dhia, C. Carvalho, C. Chambeyron, L. Chesnel, P. Ciarlet Jr.,A. Nicolet, F. Zolla,
Curious energy losses at corners of metallic inclusions,
WAVES, Karlsruhe, 2015. [ Preprint ]
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A.-S. Bonnet-Ben Dhia, C. Carvalho, P. Ciarlet Jr.,
Plasmonic waveguides: T-coercivity approach for Maxwell's equations,
WAVES, Karlsruhe, 2015.[ Preprint ]
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A.-S. Bonnet-Ben Dhia, C. Carvalho, L. Chesnel, P. Ciarlet Jr., X. Claeys,
Plasmonic cavity modes: black-hole phenomena captured by Perfectly Matched Layers,
PIERS, Stockholm, 2013. [ Preprint ]
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A.-S. Bonnet-Ben Dhia, C. Carvalho, L. Chesnel, P. Ciarlet Jr., X. Claeys,
Plasmonic cavity modes with sign-changing permittivity,
WAVES, Tunis, 2013. [ Preprint ]
Ph.D
Mathematical and numerical study of plasmonic structure with corners.
[ PDF ] [ Defense ]
Codes
- [Quadrature by Parity eXpansions for scattering] (Python)
- [Asymptotics for metamaterial cavities] (Python)
- [Subtraction techniques for the close evaluation problem] (Matlab)
- [Asymptotic methods for the close evaluation problem] (Mathematica)
Talks
- Integral methods for the close evaluation problem, JO des poètes (60th anniversary conference, co-organizater), 2024. [Conference site]
- Scattering instabilities for metamaterial cavities, GRD Ondes 2023, Marseille.
- Scattering instabilities for metamaterial cavities, NACONF23, Glasgow.
- Numerical methods for the close evaluation of layer potentials in three dimensions, ANEDP seminar, Lille, 2023.
- Résonances de scattering pour cavités de métamatériaux, Journées EDP de l'IECL (annulé).
- Quadrature by Parity Asymptotic eXpansions (QPAX) for light scattering by high aspect ratio plasmonic particle, SIAM CSE23, Amsterdam, 2023.
- Numerical methods for the close evaluation of layer potentials in three dimensions, UML-UNC Computational Math seminar, 2022.
- Quadrature by Parity Asymptotic eXpansions (QPAX) for light scattering by high aspect ratio plasmonic particle, WAVES, Palaiseau, 2022.
- Quadrature by Parity Asymptotic eXpansions (QPAX) for light scattering by high aspect ratio particle, [MMCS team day], France, 2022.
- On the use of Perfectly Matched Layers for light scattering problems in plasmonic structures, CIRM, Marseille, 2022.
- Accurate evaluation of near-fields in plasmonic structures, Institut Camille Jordan, France, 2022.
- Subtraction techniques for the close evaluation of layer potentials, SIAM CSE, Spring 2021.
- Accurate evaluation of near-fields in plasmonic structures, University of Nice, France, Spring 2021.
- Limiting amplitude principle in plasmonic structures with corners, Energy and the Environment seminar, UC Merced, 2020. [Video of the talk]
- Accurate evaluation of near-fields in plasmonic structures, Fresnel Institute, 2020.
- Close evaluation of layer potentials in three dimensions, FSU, Fall 2020.
- Subtraction techniques for the close evaluation of layer potentials, Imaging and Sensing seminar, UC Merced, 2020.
- Boundary integral methods for optical cloaking, Energy and the Environment seminar, UC Merced, 2019.
- How to accurately compute near-fields in plasmonic structures, Portland State University, 2019.
- The Singular Complement Method for dielectric-metamaterial transmission problems, MAFELAP, London, 2019.
- Asymptotic approximations for transmission boundary-value problems in plasmonic structures, EMTS, San Diego, 2019.
- Asymptotic approximations of near-fields in plasmonic structures, AMS Spring and Central and Western Sectional Meeting, Hawaii, 2019.
- Accurate evaluation of near-fields in plasmonic structures, Delaware, 2019.
- Accurate evaluation of near-fields in plasmonic structures, Caltech, 2019.
- Capturing near-fields in plasmonic structures with corners, BASCD, Livermore, 2018.
- Asymptotic approximations of near fields in scattering problems, Tulane University, New Orleans, 2018.
- Numerical methods for light scattering in plasmonic structures with corners, INRIA Sophia-Antipolis, NICE, 2018.
- The Singular Complement Method for scattering problems in plasmonic structures, PIERS, Toyama, 2018.
- Multiscale modeling to capture near-fields in plasmonic structures, SIAM Annual Meeting, Portland, 2018.
- Accurate evaluation of electromagnetic near-field in plasmonic structures, ICERM Workshop, Providence, 2018.
[Video of the talk]
- Close evaluation of layer potentials, IRMAR seminar, Rennes, 2018.
- Mesh requirements for transmission problems with sign-changing coefficients, SIAM PD17, Baltimore, 2017.
- Local analysis of near-fields in acoustic scattering, WAVES, Minneapolis, 2017.
- Multiscale modeling to capture near-fields in plasmonic structures with corners, UC Merced, Merced, 2017.
- Mathematical and numerical study of plasmonic structures with corners, Oregon State University, Corvallis, 2017.
- Mathematical and numerical study of plasmonic structures with corners, UC MErced, Merced, 2016.
- Mesh requirements for transmission problems with sign-changing coefficients, Université de Reims, Reims, 2015.
- Plasmonic waveguide : T-coercivity approach for Maxwell's equations, WAVES, Karlsrhuhe, 2015.
- Leaky modes in a plasmonic waveguide, Leaky Days, 2015.
- Leaky modes in a non dissipative plasmonic waveguide with a bounded cross section, OWTNM, Nice, 2014.
- Revealing guided modes in a plasmonic waveguide using Perfectly Matched Layers at the corners, KOZWAVES, Newcastle (Australie), 2014.
- Plasmonic cavity modes: black-hole phenomena captured by PerfectLy Matched Layers, PIERS, Stockholm, 2013.
- Plasmonic cavity modes with sign changing permittivity, WAVES, Tunis,2013.
Outreach
- Modélisation mathématique de phénomènes plasmoniques, Journée formation des mathématiques, Institut Camille Jordan, Université Claude Bernard, Lyon, 2022.
- Diner with a scientist , University of California Merced, 2018.
Links