Emile Parolin

About me

Since January 2023, I am Chargé de Recherche (CRCN) at INRIA Paris and member of the team-project Alpines, which is a joint team between INRIA and Jacques-Louis Lions Laboratory (Sorbonne University and CNRS).

From January 2021 to December 2022, I was a postdoctoral researcher in the Department of Mathematics of the University of Pavia, Italy, where I worked with Andrea Moiola, on a project in collaboration with Daan Huybrechs.

From September 2017 to December 2020, I did my PhD under the supervision of Patrick Joly, in the INRIA team POEMS at ENSTA Paris, France. My PhD was funded by the ANR (French National Research Agency) via the ANR project NonlocalDD. During my PhD I also collaborated actively with Francis Collino and Xavier Claeys.

From February 2016 to August 2017, I was a research engineer at CMAP, Ecole polytechnique, France, where I worked with Matthieu Aussal, and François Alouges.

From October 2014 to October 2015, I did my MSc at Oxford University, UK, where I worked with David Hewett for my dissertation.

Research interests

My research focuses on the mathematical study of acoustic and electromagnetic time harmonic wave propagation phenomena using different numerical methods: Integral Equations; Domain Decomposition Methods; Finite and Boundary Element Methods; Trefftz Methods. A major goal is devising efficient numerical schemes that can run at scale on parallel supercomputers.

Publications

Under review

• 2024  –  Stable approximation of Helmholtz solutions in the ball using evanescent plane waves
  N. Galante, A. Moiola and E. Parolin
  Submitted    [preprint]

Peer reviewed

• 2023  –  Stable approximation of Helmholtz solutions in the disk using evanescent plane waves
  E. Parolin, D. Huybrechs and A. Moiola
  ESAIM: Mathematical Modelling and Numerical Analysis    [preprint] [article] [code]

• 2022  –  Nonlocal optimized Schwarz methods for time-harmonic electromagnetics
  X. Claeys, F. Collino and E. Parolin
  Advances in Computational Mathematics, 48(6), Paper No. 72    [preprint] [article]
• 2022  –  Robust treatment of cross points in Optimized Schwarz Methods
  X. Claeys and E. Parolin
  Numerische Mathematik, 151:405–442    [preprint] [article]
• 2022  –  Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation
  F. Collino, P. Joly and E. Parolin
  Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag    [preprint] [article]
• 2022  –  Non overlapping Domain Decomposition Methods for Time Harmonic Wave Problems
  X. Claeys, F. Collino, P. Joly and E. Parolin
  Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag    [preprint] [article]
• 2020  –  Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation
  A. Gibbs, D. P. Hewett, D. Huybrechs and E. Parolin
  SN Partial Differential Equations and Applications 1, Paper No. 21    [preprint] [article]
• 2020  –  A discrete domain decomposition method for acoustics with uniform exponential rate of convergence using non-local impedance operators
  X. Claeys, F. Collino, P. Joly and E. Parolin
  Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag    [preprint] [article]
• 2018  –  FEM-BEM coupling for electromagnetism with the Sparse Cardinal Sine Decomposition
  F. Alouges, M. Aussal and E. Parolin
  ESAIM: Proceedings and Surveys, 63:44-59    [article]
• 2017  –  Fast Boundary Element Method for acoustics with the Sparse Cardinal Sine Decomposition
  F. Alouges, M. Aussal and E. Parolin
  European Journal of Computational Mechanics, Special Issue, 26(4):377-393    [preprint] [article]

Theses

• 2020  –  Non-overlapping domain decomposition methods with non-local transmission operators for harmonic wave propagation problems
  E. Parolin
  PhD thesis, Institut Polytechnique de Paris    [thesis]
• 2015  –  A Hybrid Numerical-Asymptotic Boundary Element Method for High-Frequency Wave Scattering
  E. Parolin
  MSc dissertation, Oxford University    [thesis]

Conferences/seminars

International conferences

• June 2023  –  Stable Trefftz approximation of Helmholtz solutions using evanescent plane waves
  N. Galante, D. Huybrechs, A. Moiola and E. Parolin
  29th Biennial Numerical Analysis Conference, Glasgow, Scotland
• July 2022  –  Stable approximation of Helmholtz solutions with evanescent plane waves
  D. Huybrechs, A. Moiola and E. Parolin
  15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Palaiseau, France
• February 2022  –  Stable Trefftz methods using evanescent plane waves
  D. Huybrechs, A. Moiola and E. Parolin
  Conference on Mathematics of Wave Phenomena, online
• December 2020  –  Novel non-local impedance operators for non-overlapping DDM applied to time-harmonic wave propagation problems
  X. Claeys, F. Collino, P. Joly and E. Parolin
  26th International Domain Decomposition Conference, online
• September 2019  –  Linear convergent domain decomposition method with non local transmission conditions for wave propagation problems
  X. Claeys, F. Collino, P. Joly and E. Parolin
  Parallel Solution Methods for Systems Arising from PDEs, Marseille, France
• August 2019  –  Non overlapping domain decomposition methods with non local transmission conditions for electromagnetic wave propagation
  X. Claeys, F. Collino, P. Joly and E. Parolin
  14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Vienna, Austria
• July 2018  –  Non overlapping domain decomposition methods with non local transmission conditions for electromagnetic wave propagation
  X. Claeys, F. Collino, P. Joly and E. Parolin
  25th International Domain Decomposition Conference, St John's, Canada
• June 2018  –  A Hybrid Numerical-Asymptotic Collocation BEM for High-Frequency Scattering by 2D Planar Screens
  D. Hewett and E. Parolin
  Symposium of the International Association for Boundary Element Methods, Paris, France
• July 2016  –  Fast Boundary Element Method for acoustics with the Sparse Cardinal Sine Decomposition
  F. Alouges, M. Aussal and E. Parolin
  International Conference on Boundary Element and Meshless Techniques, Ankara, Turkey

National conferences

• July 2023  –  Stable Trefftz approximation of Helmholtz solutions using evanescent plane waves
  N. Galante, D. Huybrechs, A. Moiola and E. Parolin
  PoWER2023 : Propagation of Waves, European Researchers, Torino, Italy
• June 2022  –  Stabilité de l'approximation des solutions de l'équation de Helmholtz par ondes planes évanescentes
  D. Huybrechs, A. Moiola and E. Parolin
  45ème Congrès National d'Analyse Numérique, Evian-les-Bains, France
• November 2021  –  Stable Approximation of Helmholtz equation solutions with evanescent plane waves
  D. Huybrechs, A. Moiola and E. Parolin
  Approximation: Theory, Methods, and Applications, Reggio Calabria, Italy
• June 2021  –  Un nouvel opérateur de transmission non-local pour des méthodes de décomposition de domaine sans recouvrement appliquées à la propagation d’ondes harmoniques
  X. Claeys, F. Collino, P. Joly and E. Parolin
  10ème Biennale Française des Mathématiques Appliquées et Industrielles, La Grande Motte, France
• November 2020  –  Décomposition de domaine sans recouvrement avec opérateurs de transmission non-locaux pour des problèmes de propagation d'ondes harmoniques
  X. Claeys, F. Collino, P. Joly and E. Parolin
  Rencontres Jeunes Chercheurs-Jeunes Chercheuses, online
• March 2019  –  Non-Overlapping Domain Decomposition Methods With Non-Local Transmission Conditions for Electromagnetic Wave Propagation
  X. Claeys, F. Collino, P. Joly and E. Parolin
  Journées Ondes du Sud-Ouest, Institut Lasers et Plasmas, Le Barp, France

Talks/Seminars

• February 16, 2023  –  Approximation stable des solutions de l’équation de Helmholtz par ondes planes évanescentes
  Séminaire Poems (Inria Paris-Saclay), ENSTA Paris, Palaiseau, France
• January 30, 2023  –  Méthodes de décomposition de domaine sans recouvrement avec opérateurs de transmission non-locaux appliquées à la propagation d’ondes harmoniques
  Séminaire LAGA, Université Paris 13, Villetaneuse, France
• December 2, 2022  –  Why use Julia for scientific-computing?
  Informal seminar, Dipartimento di Matematica, Università di Pavia, Italy    [notebook]
• May 25, 2022  –  Stable approximation of Helmholtz solutions using evanescent plane waves
  Imperial-UCL Numerics seminar, UCL, London, UK
• February 14, 2022  –  Stable approximation of Helmholtz solutions using evanescent plane waves
  Séminaire de l'équipe ALPINES, LJLL, online
• October 14, 2021  –  Non-Overlapping Domain Decomposition Methods With Non-Local Transmission Operators for Time-Harmonic Wave Propagation Problems
  NUMA Seminar, KU Leuven, Leuven, Belgium
• April 14, 2021  –  Non-Overlapping Domain Decomposition Methods With Non-Local Transmission Operators for Time-Harmonic Wave Propagation Problems
  Informal seminar, Dipartimento di Matematica, Università di Pavia, Italy
• April 8, 2019  –  Non-Overlapping Domain Decomposition Methods With Non-Local Transmission Conditions for Electromagnetic Wave Propagation
  Séminaire des doctorants UMA, ENSTA Paris, Palaiseau, France
• February 4, 2019  –  Non-Overlapping Domain Decomposition Methods With Non-Local Transmission Conditions for Electromagnetic Wave Propagation
  Journée CEA-POEMS, ENSTA Paris, Palaiseau, France
• June 20, 2017  –  Hybrid shared-distributed parallel computing in Julia: experimenting with a non-uniform FFT
  Groupe de travail numérique du CMAP, Ecole polytechnique, Palaiseau, France

Workshops

• November 2016  –  Workshop EM ISAE, RCS and radar imaging for an UAV-like with two RAM regions
  Toulouse, France
• July-August 2016  –  CEMRACS, Numerical challenges in parallel scientific computing
  Marseille, France

Teaching

• At Sorbonne Université, Paris, France
  • MU5MAM29: High performance computing for numerical methods and data analysis
    • Fall 2023
  • MU4MA029: Numerical simulation and approximation of solutions to elliptic PDEs,
    • Spring 2023
• At ENSTA Paris, Palaiseau, France
  • MA102: Analysis of partial differential equations - Elementary tools,
    • Fall 2018 - 2019.
  • SIM201: Scientific computing in C++,
    • Fall 2017 - 2018 - 2019.
  • SIM202: Scientific computing in C++ - Projects,
    • Spring 2018 - 2019 - 2020.

Award

• Best Thesis Award Runner-up, awarded by the Institut Polytechnique de Paris in 2021.

Short CV

• Since January 2023, Chargé de Recherche, INRIA (Équipe-Projet Alpines), Paris, France.
• January 2021 - December 2022, Postdoctoral researcher, University of Pavia, Pavia, Italy.
• September 2017 - December 2020, PhD student, Laboratoire POEMS (CNRS/INRIA/ENSTA Paris), Institut Polytechnique de Paris, Palaiseau, France.
• February 2016 - August 2017, Research Engineer, CMAP, Ecole polytechnique, Palaiseau, France.
• 2014-2015, MSc in Mathematical Modelling and Scientific Computing, Oxford University, Oxford, UK.
• 2011-2015, Engineering degree, École Centrale Paris, Châtenay-Malabry, France.
  • January - July 2014, Engineering internship, Numeca International, Aero-Acoustic Team, Brussels, Belgium.
  • July - December 2013, Engineering internship, ONERA, The French Aerospace Lab, DSNA, Châtillon, France.