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Mathematics

D-Index
30
Citations
3735
World Ranking
3527
National Ranking
217

Overview

Patrick Ciarlet is affiliated with the École Nationale Supérieure de Techniques Avancées in France. Their research primarily spans the fields of Engineering and Mathematics, with a focus on computational and mathematical approaches in engineering contexts.

The scientist's work covers several subfields including Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials, Mathematical Physics, and Computational Theory and Mathematics. Their main topics of research are:

  • Advanced Numerical Methods in Computational Mathematics
  • Electromagnetic Simulation and Numerical Methods
  • Numerical methods in engineering
  • Numerical methods in inverse problems
  • Advanced Mathematical Modeling in Engineering
  • Electromagnetic Scattering and Analysis
  • Nuclear reactor physics and engineering

Patrick Ciarlet has published articles in various scholarly venues, most notably:

  • SIAM Journal on Mathematical Analysis
  • arXiv (Cornell University)
  • Computers & Mathematics with Applications
  • ESAIM. Mathematical modelling and numerical analysis
  • EPJ Web of Conferences

Recent publications by Patrick Ciarlet include:

  • "On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 3: Sensitivity to Coefficients," 2020, SIAM Journal on Mathematical Analysis
  • "A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations," 2022, ESAIM. Mathematical modelling and numerical analysis
  • "A Mathematical Study of a Hyperbolic Metamaterial in Free Space," 2022, SIAM Journal on Mathematical Analysis

Collaborations have been frequent with several co-authors including François Madiot, Erell Jamelot, Minh-Hieu Do, Minh Hieu, and Stéphanie Chaillat.

Best Publications

  • On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra

    Annalisa Buffa;Patrick Ciarlet

  • On traces for functional spaces related to Maxwell's equations Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications

    Annalisa Buffa;Patrick Ciarlet

  • Fully discrete finite element approaches for time-dependent Maxwell's equations

    Patrick Ciarlet;Jun Zou

  • T-COERCIVITY FOR SCALAR INTERFACE PROBLEMS BETWEEN DIELECTRICS AND METAMATERIALS

    Anne-Sophie Bonnet-Ben Dhia;Lucas Chesnel;Patrick Ciarlet

  • Time harmonic wave diffraction problems in materials with sign-shifting coefficients

    A. S. Bonnet-Ben Dhia;P. Ciarlet;C. M. Zwölf

  • Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: the singular complement method

    F. Assous;P. Ciarlet;S. Labrunie;J. Segré

  • ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY

    Philippe G. Ciarlet;Patrick Ciarlet

  • Numerical Solution to the Time-Dependent Maxwell Equations in Two-Dimensional Singular Domains

    F. Assous;P. Ciarlet;J. Segré

  • Resolution of the Maxwell equations in a domain with reentrant corners

    Franck Assous;Patrick Ciarlet;Eric Sonnendrücker

  • Augmented formulations for solving Maxwell equations

    Patrick Ciarlet

  • Theoretical tools to solve the axisymmetric Maxwell equations

    Franck Assous;Patrick Ciarlet;Simon Labrunie

  • On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method

    Tony F. Chan;P. Ciarlet;W. K. Szeto

  • Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids

    Eric T. Chung;Patrick Ciarlet;Tang Fei Yu

  • T-coercivity for the Maxwell problem with sign-changing coefficients

    Anne-Sophie Bonnet-Ben Dhia;Lucas Chesnel;Patrick Ciarlet

  • T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients

    Lucas Chesnel;Patrick Ciarlet

  • Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements

    Annalisa Buffa;Patrick Ciarlet;Erell Jamelot

  • Mathematical Foundations of Computational Electromagnetism

    Franck Assous;Patrick Ciarlet;Simon Labrunie

  • A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials

    Eric T. Chung;Patrick Ciarlet

  • Analysis of the Scott–Zhang interpolation in the fractional order Sobolev spaces

    Patrick Ciarlet

  • Theory and implementation of H-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels

    Stéphanie Chaillat;Luca Desiderio;Patrick Ciarlet

  • Finite element convergence for the Darwin model to Maxwell's equations

    Patrick Ciarlet;Jun Zou

Frequent Co-Authors

Philippe G. Ciarlet
Philippe G. Ciarlet City University of Hong Kong
Stefan A. Sauter
Stefan A. Sauter University of Zurich
Houssem Haddar
Houssem Haddar École Polytechnique
Annalisa Buffa
Annalisa Buffa École Polytechnique Fédérale de Lausanne
Eric T. Chung
Eric T. Chung Chinese University of Hong Kong
Martin Vohralík
Martin Vohralík French Institute for Research in Computer Science and Automation - INRIA
Rainer Kress
Rainer Kress University of Göttingen
Serge Nicaise
Serge Nicaise University Polytechnic Hauts-de-France
Fioralba Cakoni
Fioralba Cakoni Rutgers, The State University of New Jersey
Tony F. Chan
Tony F. Chan University of California, Los Angeles

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