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

Repeated Red-Black ordering: a new approach. - Patrick Ciarlet Jr. (Numer. Algorithms, 1994)

Does contraction preserve triangular meshes? - Patrick Ciarlet Jr.; Françoise Lamour (Numer. Algorithms, 1996)

On the validity of a front-oriented approach to partitioning large sparse graphs with a connectivity constraint. - Patrick Ciarlet Jr.; Françoise Lamour (Numer. Algorithms, 1996)

On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method. - Tony F. Chan; Patrick Ciarlet Jr.; W. K. Szeto (SIAM J. Sci. Comput., 1997)

Fully discrete finite element approaches for time-dependent Maxwell's equations. - Patrick Ciarlet Jr.; Jun Zou 003 (Numerische Mathematik, 1999)

Some Observations on Generalized Saddle-Point Problems. - Patrick Ciarlet Jr.; Jianguo Huang; Jun Zou 003 (SIAM J. Matrix Anal. Appl., 2003)

The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains. - Patrick Ciarlet Jr.; Beate Jung; Samir Kaddouri; Simon Labrunie; Jun Zou 003 (Numerische Mathematik, 2005)

Vlasov-Maxwell Simulations in Singular Geometries. - Franck Assous; Patrick Ciarlet Jr. (International Conference on Computational Science (4), 2006)

The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains. - Patrick Ciarlet; Beate Jung; Samir Kaddouri; Simon Labrunie; Jun Zou 003 (Numerische Mathematik, 2006)

Numerical Solution to Maxwell's Equations in Singular Waveguides. - Franck Assous; Patrick Ciarlet Jr. (International Conference on Computational Science (4), 2007)

Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries. - Patrick Ciarlet Jr.; Erell Jamelot (J. Comput. Phys., 2007)

A Multiscale Approach for Solving Maxwell's Equations in Waveguides with Conical Inclusions. - Franck Assous; Patrick Ciarlet Jr. (ICCS (2), 2008)

Solving Vlasov-Maxwell equations in singular geometries. - Franck Assous; Patrick Ciarlet Jr. (Math. Comput. Simul., 2008)

Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements. - Annalisa Buffa; Patrick Ciarlet; Erell Jamelot (Numerische Mathematik, 2009)

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]. - A. S. Bonnet-Ben Dhia; Patrick Ciarlet Jr. (J. Comput. Appl. Math., 2010)

Time harmonic wave diffraction problems in materials with sign-shifting coefficients. - A. S. Bonnet-Ben Dhia; Patrick Ciarlet Jr.; Carlo Maria Zwölf (J. Comput. Appl. Math., 2010)

Compact Imbeddings in Electromagnetism with Interfaces between Classical Materials and Metamaterials. - Lucas Chesnel; Patrick Ciarlet Jr. (SIAM J. Math. Anal., 2011)

T-coercivity: Application to the discretization of Helmholtz-like problems. - Patrick Ciarlet Jr. (Comput. Math. Appl., 2012)

A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials. - Eric T. Chung 001; Patrick Ciarlet Jr. (J. Comput. Appl. Math., 2013)

Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids. - Eric T. Chung 001; Patrick Ciarlet Jr.; Tang Fei Yu (J. Comput. Phys., 2013)

Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. - Erell Jamelot; Patrick Ciarlet Jr. (J. Comput. Phys., 2013)

Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. - Patrick Ciarlet Jr. (J. Num. Math., 2013)

T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients. - Lucas Chesnel; Patrick Ciarlet (Numerische Mathematik, 2013)

Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws. - Patrick Ciarlet Jr.; Haijun Wu; Jun Zou 003 (SIAM J. Numer. Anal., 2014)

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

On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients. - Anne-Sophie Bonnet-Ben Dhia; Camille Carvalho; Lucas Chesnel; Patrick Ciarlet Jr. (J. Comput. Phys., 2016)

Intrinsic finite element methods for the computation of fluxes for Poisson's equation. - Philippe G. Ciarlet; Patrick Ciarlet; Stefan A. Sauter; Corina Simian (Numerische Mathematik, 2016)

On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell's equations. - Patrick Ciarlet Jr.; Sonia Fliss; Christian Stohrer (Comput. Math. Appl., 2017)

Domain decomposition methods for the diffusion equation with low-regularity solution. - Patrick Ciarlet; Erell Jamelot; Félix Kpadonou (Comput. Math. Appl., 2017)

Theory and implementation of ℋ-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels. - Stéphanie Chaillat; Luca Desiderio; Patrick Ciarlet (J. Comput. Phys., 2017)

Mesh requirements for the finite element approximation of problems with sign-changing coefficients. - Anne-Sophie Bonnet-Ben Dhia; Camille Carvalho; Patrick Ciarlet (Numerische Mathematik, 2018)

On the Convergence in H1-Norm for the Fractional Laplacian. - Juan Pablo Borthagaray; Patrick Ciarlet Jr. (SIAM J. Numer. Anal., 2019)

On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic H-matrix accelerated Boundary Element Methods. - Félix Kpadonou; Stéphanie Chaillat; Patrick Ciarlet Jr. (Comput. Math. Appl., 2020)

On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 3: Sensitivity to Coefficients. - Patrick Ciarlet Jr. (SIAM J. Math. Anal., 2020)

Analysis of Variational Formulations and Low-regularity Solutions for Time-harmonic Electromagnetic Problems in Complex Anisotropic Media. - Damien Chicaud; Patrick Ciarlet Jr.; Axel Modave (SIAM J. Math. Anal., 2021)

Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber. - Laura Bagur; Stéphanie Chaillat; Patrick Ciarlet (Adv. Comput. Math., 2022)

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

A Mathematical Study of a Hyperbolic Metamaterial in Free Space. - Patrick Ciarlet; Maryna Kachanovska (SIAM J. Math. Anal., 2022)

An Optimal Control-Based Numerical Method for Scalar Transmission Problems with Sign-Changing Coefficients. - Patrick Ciarlet; David Lassounon; Mahran Rihani (SIAM J. Numer. Anal., 2023)

Crouzeix-Raviart elements on simplicial meshes in d dimensions. - Nis-Erik Bohne; Patrick Ciarlet Jr.; Stefan A. Sauter (CoRR, 2024)

Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems. - Changqing Ye; Xingguang Jin; Patrick Ciarlet Jr.; Eric T. Chung 001 (CoRR, 2024)

Variational methods for solving numerically magnetostatic systems. - Patrick Ciarlet Jr.; Erell Jamelot (Adv. Comput. Math., 2024)

Explicit T-coercivity for the Stokes problem: A coercive finite element discretization. - Patrick Ciarlet; Erell Jamelot (Comput. Math. Appl., 2025)

Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations. - Patrick Ciarlet Jr.; Minh-Hieu Do; François Madiot (CoRR, 2025)

On some coupled local and nonlocal diffusion models. - Juan Pablo Borthagaray; Patrick Ciarlet Jr. (CoRR, 2025)