Publications

Publications listed on Google Scholar
  1. C. Carvalho, Z. Moitier, Asymptotics for metamaterial cavities and their effect on scattering, in revision. [Preprint][Codes]
  2. 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]
  3. C. Carvalho, Modified representations for the close evaluation problem, Mathematical and Computational Applications, 26(2021), 69. [Paper] [Codes]
  4. 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, (in press) 2021. [Preprint][Codes]
  5. 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]
  6. 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]
  7. 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]
  8. C. Carvalho, S. Khatri, A. D. Kim, Asymptotic analysis for close evaluation for layer potentials, Journal of Computational Physics, 655(2018), 327--341. [Preprint]
  9. 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]
  10. C. Carvalho, L. Chesnel, P. Ciarlet Jr., Eigenvalue problems with sign-changing coefficients, Compte Rendus Mathématiques, 355(2017), 671--675. [Preprint]
  11. 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]
  12. 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

  1. C. Carvalho, S. Khatri, Local analysis of near fields in acoustic scattering, A. D. Kim, WAVES, Minneapolis, 2017. [ Preprint ]
  2. 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 ]
  3. A.-S. Bonnet-Ben Dhia, C. Carvalho, P. Ciarlet Jr., Plasmonic waveguides: T-coercivity approach for Maxwell's equations, WAVES, Karlsruhe, 2015.[ Preprint ]
  4. 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 ]
  5. 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

    1. [Quadrature by Parity eXpansions for scattering] (Python) DOI
    2. [Asymptotics for metamaterial cavities] (Python) DOI
    3. [Subtraction techniques for the close evaluation problem] (Matlab) DOI
    4. [Asymptotic methods for the close evaluation problem] (Mathematica)
    5. Talks

      1. Subtraction techniques for the close evaluation of layer potentials, SIAM CSE, Spring 2021.
      2. Accurate evaluation of near-fields in plasmonic structures, University of Nice, France, Spring 2021.
      3. Limiting amplitude principle in plasmonic structures with corners, Energy and the Environment seminar, UC Merced, 2020. [Video of the talk]
      4. Accurate evaluation of near-fields in plasmonic structures, Fresnel Institute, 2020.
      5. Close evaluation of layer potentials in three dimensions, FSU, Fall 2020.
      6. Subtraction techniques for the close evaluation of layer potentials, Imaging and Sensing seminar, UC Merced, 2020.
      7. Boundary integral methods for optical cloaking, Energy and the Environment seminar, UC Merced, 2019.
      8. How to accurately compute near-fields in plasmonic structures, Portland State University, 2019.
      9. The Singular Complement Method for dielectric-metamaterial transmission problems, MAFELAP, London, 2019.
      10. Asymptotic approximations for transmission boundary-value problems in plasmonic structures, EMTS, San Diego, 2019.
      11. Asymptotic approximations of near-fields in plasmonic structures, AMS Spring and Central and Western Sectional Meeting, Hawaii, 2019.
      12. Accurate evaluation of near-fields in plasmonic structures, Delaware, 2019.
      13. Accurate evaluation of near-fields in plasmonic structures, Caltech, 2019.
      14. Capturing near-fields in plasmonic structures with corners, BASCD, Livermore, 2018.
      15. Asymptotic approximations of near fields in scattering problems, Tulane University, New Orleans, 2018.
      16. Numerical methods for light scattering in plasmonic structures with corners, INRIA Sophia-Antipolis, NICE, 2018.
      17. The Singular Complement Method for scattering problems in plasmonic structures, PIERS, Toyama, 2018.
      18. Multiscale modeling to capture near-fields in plasmonic structures, SIAM Annual Meeting, Portland, 2018.
      19. Accurate evaluation of electromagnetic near-field in plasmonic structures, ICERM Workshop, Providence, 2018. [Video of the talk]
      20. Close evaluation of layer potentials, IRMAR seminar, Rennes, 2018.
      21. Mesh requirements for transmission problems with sign-changing coefficients, SIAM PD17, Baltimore, 2017.
      22. Local analysis of near-fields in acoustic scattering, WAVES, Minneapolis, 2017.
      23. Multiscale modeling to capture near-fields in plasmonic structures with corners, UC Merced, Merced, 2017.
      24. Mathematical and numerical study of plasmonic structures with corners, Oregon State University, Corvallis, 2017.
      25. Mathematical and numerical study of plasmonic structures with corners, UC MErced, Merced, 2016.
      26. Mesh requirements for transmission problems with sign-changing coefficients, Université de Reims, Reims, 2015.
      27. Plasmonic waveguide : T-coercivity approach for Maxwell's equations, WAVES, Karlsrhuhe, 2015.
      28. Leaky modes in a plasmonic waveguide, Leaky Days, 2015.
      29. Leaky modes in a non dissipative plasmonic waveguide with a bounded cross section, OWTNM, Nice, 2014.
      30. Revealing guided modes in a plasmonic waveguide using Perfectly Matched Layers at the corners, KOZWAVES, Newcastle (Australie), 2014.
      31. Plasmonic cavity modes: black-hole phenomena captured by PerfectLy Matched Layers, PIERS, Stockholm, 2013.
      32. Plasmonic cavity modes with sign changing permittivity, WAVES, Tunis,2013.

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