On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra A Buffa, P Ciarlet Jr Mathematical Methods in the Applied Sciences 24 (1), 9-30, 2001 | 385 | 2001 |

On traces for functional spaces related to Maxwell's equations Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications A Buffa, P Ciarlet Jr Mathematical Methods in the Applied Sciences 24 (1), 31-48, 2001 | 254 | 2001 |

Fully discrete finite element approaches for time-dependent Maxwell's equations P Ciarlet Jr, J Zou Numerische Mathematik 82 (2), 193-219, 1999 | 228 | 1999 |

T-coercivity for scalar interface problems between dielectrics and metamaterials AS Bonnet-Ben Dhia, L Chesnel, P Ciarlet ESAIM: Mathematical Modelling and Numerical Analysis 46 (6), 1363-1387, 2012 | 148 | 2012 |

Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: the singular complement method F Assous, P Ciarlet Jr, J Segré Journal of Computational Physics 161 (1), 218-249, 2000 | 145 | 2000 |

Time harmonic wave diffraction problems in materials with sign-shifting coefficients AS Bonnet-Ben Dhia, P Ciarlet Jr, CM Zwölf Journal of Computational and Applied Mathematics 234 (6), 1912-1919, 2010 | 137 | 2010 |

Another approach to linearized elasticity and a new proof of Korn's inequality PG Ciarlet, P Ciarlet Jr Mathematical Models and Methods in Applied Sciences 15 (02), 259-271, 2005 | 126 | 2005 |

Resolution of the Maxwell equations in a domain with reentrant corners F Assous, P Ciarlet, E Sonnendrücker ESAIM: Mathematical Modelling and Numerical Analysis 32 (3), 359-389, 1998 | 98 | 1998 |

Theoretical tools to solve the axisymmetric Maxwell equations F Assous, P Ciarlet Jr, S Labrunie Mathematical methods in the applied sciences 25 (1), 49-78, 2002 | 83 | 2002 |

Augmented formulations for solving Maxwell equations P Ciarlet Jr Computer Methods in Applied Mechanics and Engineering 194 (2-5), 559-586, 2005 | 80 | 2005 |

On the optimality of the median cut spectral bisection graph partitioning method TF Chan, P Ciarlet Jr, WK Szeto SIAM Journal on Scientific Computing 18 (3), 943-948, 1997 | 73 | 1997 |

Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell’s equations on Cartesian grids ET Chung, P Ciarlet Jr, TF Yu Journal of Computational Physics 235, 14-31, 2013 | 71 | 2013 |

Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: the singular complement method F Assous, P Ciarlet Jr, S Labrunie, J Segré Journal of Computational Physics 191 (1), 147-176, 2003 | 70 | 2003 |

Mathematical Foundations of Computational Electromagnetism F Assous, P Ciarlet, S Labrunie | 66 | 2018 |

Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements A Buffa, P Ciarlet, E Jamelot Numerische Mathematik 113 (4), 497-518, 2009 | 65 | 2009 |

T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients L Chesnel, P Ciarlet Numerische Mathematik 124 (1), 1-29, 2013 | 63 | 2013 |

A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials ET Chung, P Ciarlet Jr Journal of Computational and Applied Mathematics 239, 189-207, 2013 | 63* | 2013 |

T-coercivity for the Maxwell problem with sign-changing coefficients AS Bonnet-Ben Dhia, L Chesnel, P Ciarlet Jr Communications in Partial Differential Equations 39 (6), 1007-1031, 2014 | 61 | 2014 |

Finite element convergence for the Darwin model to Maxwell's equations PJ Ciarlet, J Zou ESAIM: Mathematical Modelling and Numerical Analysis 31 (2), 213-249, 1997 | 51 | 1997 |

Analysis of the Scott–Zhang interpolation in the fractional order Sobolev spaces P Ciarlet Journal of Numerical Mathematics 21 (3), 173-180, 2013 | 50 | 2013 |