Patrick Ciarlet

Orcid: 0000-0003-1198-5063

According to our database1, Patrick Ciarlet authored at least 43 papers between 1994 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Variational methods for solving numerically magnetostatic systems.
Adv. Comput. Math., February, 2024

Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems.
CoRR, 2024

Crouzeix-Raviart elements on simplicial meshes in d dimensions.
CoRR, 2024

2023
An Optimal Control-Based Numerical Method for Scalar Transmission Problems with Sign-Changing Coefficients.
SIAM J. Numer. Anal., June, 2023

2022
A Mathematical Study of a Hyperbolic Metamaterial in Free Space.
SIAM J. Math. Anal., 2022

On the approximation of electromagnetic fields by edge finite elements - Part 4: analysis of the model with one sign-changing coefficient.
Numerische Mathematik, 2022

Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber.
Adv. Comput. Math., 2022

2021
Analysis of Variational Formulations and Low-regularity Solutions for Time-harmonic Electromagnetic Problems in Complex Anisotropic Media.
SIAM J. Math. Anal., 2021

2020
On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 3: Sensitivity to Coefficients.
SIAM J. Math. Anal., 2020

On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic H-matrix accelerated Boundary Element Methods.
Comput. Math. Appl., 2020

2019
On the Convergence in H<sup>1</sup>-Norm for the Fractional Laplacian.
SIAM J. Numer. Anal., 2019

2018
Mesh requirements for the finite element approximation of problems with sign-changing coefficients.
Numerische Mathematik, 2018

2017
Theory and implementation of ℋ-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels.
J. Comput. Phys., 2017

Domain decomposition methods for the diffusion equation with low-regularity solution.
Comput. Math. Appl., 2017

On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell's equations.
Comput. Math. Appl., 2017

2016
Intrinsic finite element methods for the computation of fluxes for Poisson's equation.
Numerische Mathematik, 2016

On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients.
J. Comput. Phys., 2016

On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields.
Comput. Math. Appl., 2016

2014
Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws.
SIAM J. Numer. Anal., 2014

2013
T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients.
Numerische Mathematik, 2013

Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces.
J. Num. Math., 2013

Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation.
J. Comput. Phys., 2013

Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids.
J. Comput. Phys., 2013

A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials.
J. Comput. Appl. Math., 2013

2012
T-coercivity: Application to the discretization of Helmholtz-like problems.
Comput. Math. Appl., 2012

2011
Compact Imbeddings in Electromagnetism with Interfaces between Classical Materials and Metamaterials.
SIAM J. Math. Anal., 2011

2010
Time harmonic wave diffraction problems in materials with sign-shifting coefficients.
J. Comput. Appl. Math., 2010

Erratum to "Time harmonic wave diffraction problems in materials with sign-shifting coefficients" [J. Computational Applied Mathematics doi: 10.1016/j.cam.2009.08.041].
J. Comput. Appl. Math., 2010

2009
Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements.
Numerische Mathematik, 2009

2008
Solving Vlasov-Maxwell equations in singular geometries.
Math. Comput. Simul., 2008

A Multiscale Approach for Solving Maxwell's Equations in Waveguides with Conical Inclusions.
Proceedings of the Computational Science, 2008

2007
Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries.
J. Comput. Phys., 2007

Numerical Solution to Maxwell's Equations in Singular Waveguides.
Proceedings of the Computational Science - ICCS 2007, 7th International Conference, Beijing, China, May 27, 2007

2006
The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains.
Numerische Mathematik, 2006

Vlasov-Maxwell Simulations in Singular Geometries.
Proceedings of the Computational Science, 2006

2005
The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains.
Numerische Mathematik, 2005

2003
Some Observations on Generalized Saddle-Point Problems.
SIAM J. Matrix Anal. Appl., 2003

1999
Fully discrete finite element approaches for time-dependent Maxwell's equations.
Numerische Mathematik, 1999

1997
On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method.
SIAM J. Sci. Comput., 1997

1996
On the validity of a front-oriented approach to partitioning large sparse graphs with a connectivity constraint.
Numer. Algorithms, 1996

Does contraction preserve triangular meshes?
Numer. Algorithms, 1996

1994
Repeated Red-Black ordering: a new approach.
Numer. Algorithms, 1994

Implementation of a Domain Decomposition Method Well-Suited for (Massively) Parallel Architectures.
Int. J. High Speed Comput., 1994


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