Camille Carvalho, Patrick Ciarlet et Claire Scheid (à paraître)
Limiting amplitude principle and resonances in plasmonic structures with corners: numerical investigation
Computer Methods in Applied Mechanics and Engineering preprint.pdf (228K)

Damien Chicaud, Patrick Ciarlet et Axel Modave (2021)
Analysis of variational formulations and low-regularity solutions for time-harmonic electromagnetic problems in complex anisotropic media
SIAM J. Math. Anal., 53, p. 2691-2717 (DOI) preprint.pdf

Patrick Ciarlet (2020)
On the approximation of electromagnetic fields by edge finite elements. Part 3 : sensitivity to coefficients
SIAM J. Math. Anal., 52, p. 3004-3038 (DOI) preprint.pdf

Patrick Ciarlet, Minh-Hieu Do et François Madiot (2020)
Adaptive solution of the neutron diffusion equation with heterogeneous coefficients using the mixed finite element method on structured meshes
Actes de PHYSOR 2020: Transition to a Scalable Nuclear Future preprint.pdf

Stéphanie Chaillat, Patrick Ciarlet et Félix D. Kpadonou (2020)
On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic H-matrix accelerated Boundary Element Methods
Computers Math. Applic., 80, p. 471-489 (DOI) preprint.pdf

Martin Campos Pinto, Patrick Ciarlet, Bruno Després et Anouk Nicolopoulos (2020)
Degenerate elliptic equations for resonant wave problems
IMA Journal of Applied Mathematics, 85, p. 132-159 (DOI) preprint.pdf

Juan Pablo Borthagaray et Patrick Ciarlet (2019)
On the convergence in H1-norm for the fractional Laplacian
SIAM Journal on Numerical Analysis, 57, p. 1723-1743 (DOI) preprint.pdf

Stéphanie Chaillat, Patrick Ciarlet et Félix Kpadonou (2019)
An efficient preconditioner for H-matrix accelerated Boundary Element Methods for 3D wave propagation problems
Actes du 14ème Colloque National en Calcul des Structures preprint.pdf

Patrick Ciarlet, Jr. et Martin Vohralik (2018)
Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients
Mathematical Modelling and Numerical Analysis, 52, p. 2037-2064 (DOI) preprint.pdf

Patrick Ciarlet, Léandre Giret, Erell Jamelot et Félix D. Kpadonou (2018)
Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients
Mathematical Modelling and Numerical Analysis, 52,  p. 2003-2035 (DOI) preprint.pdf

Patrick Ciarlet, Charles Dunkl et Stefan Sauter (2018)
A family of Crouzeix-Raviart Finite Elements in 3D
Analysis and Applications, 16, p. 649-691 (DOI) preprint.pdf

Franck Assous, Patrick Ciarlet et Simon Labrunie (2018)
Mathematical Foundations of Computational Electromagnetism
Applied Mathematical Sciences, Vol. 198, Springer, ISBN 978-3-319-70841-6 (DOI) HAL preprint.pdf

Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho et Patrick Ciarlet (2018)
Mesh requirements for the finite element approximation of problems with sign-changing coefficients
Numer. Math., 138, p. 801-838 (DOI) preprint.pdf

Juan Pablo Borthagaray et Patrick Ciarlet (2017)
Nonlocal models for interface problems between dielectrics and metamaterials
Actes du 11th International Congress on Engineered Materials Platforms for Novel Wave Phenomena, IEEE, p. 61-63 preprint.pdf

Stéphanie Chaillat, Patrick Ciarlet et Luca Desiderio (2017)
Theory and implementation of H-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels
J. Comput. Phys., 351, p. 165-186 (DOI) preprint.pdf

Patrick Ciarlet, Erell Jamelot et Félix D. Kpadonou (2017)
Domain Decomposition Methods for the diffusion equation with low-regularity solution
Computers Math. Applic., 74, p. 2369-2384 (DOI) preprint.pdf

Patrick Ciarlet, Sonia Fliss et Christian Stohrer (2017)
On the approximation of electromagnetic fields by edge finite elements. Part 2: a Heterogeneous Multiscale Method for Maxwell's equations
Computers Math. Applic., 73, p. 1900-1919 (DOI) preprint.pdf

Patrick Ciarlet, Léandre Giret et Erell Jamelot (2017)
Criticality computation with finite element method on non-conforming meshes
Actes de M&C 2017 preprint.pdf

Camille Carvalho, Lucas Chesnel et Patrick Ciarlet (2017)  
Eigenvalue problems with sign-changing coefficients
C. R. Acad. Sci. Paris, Ser. I, 355, p. 671-675 (DOI) preprint.pdf

Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Lucas Chesnel et Patrick Ciarlet (2016)
On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients
J. Comput. Phys., 322, p. 224-247 (DOI) preprint.pdf

Patrick Ciarlet (2016)
On the approximation of electromagnetic fields by edge finite elements. Part 1: sharp interpolation results for low-regularity fields
Computers Math. Applic., 71, p. 85-104 (DOI) preprint.pdf

Patrick Ciarlet, Philippe G. Ciarlet, Stefan Sauter et Corina Simian (2016)
Intrinsic finite element methods for the computation of fluxes for Poisson's equation
Numerische Mathematik, 132, p. 433-462 (DOI) preprint.pdf

Erell Jamelot, Patrick Ciarlet, Anne-Marie Baudron et Jean-Jacques Lautard (2014)
Domain decomposition for the neutron SPN equations
Actes de la DDM'21, Lecture Notes in Computational Science and Engineering, 98, Springer, p. 677-685 preprint.pdf

Patrick Ciarlet, Haijun Wu et Jun Zou (2014)
Edge element methods for Maxwell's equations with strong convergence for Gauss' laws
SIAM Journal on Numerical Analysis, 52, p. 779-807 (DOI) preprint.pdf

Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Lucas Chesnel et Patrick Ciarlet (2013)
Plasmonic cavity modes: black-hole phenomena captured by Perfectly Matched Layers
In PIERS 2013, Stockholm, Suède, The Electromagnetics Company, p. 638-642 preprint.pdf

Patrick Ciarlet (2013)
Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces
Journal of Numerical Mathematics, 21, p. 173-180 (DOI) preprint.pdf

Erell Jamelot et Patrick Ciarlet (2013)
Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation
Journal of Computational Physics, 241, p. 445-463 (DOI) preprint.pdf

Lucas Chesnel et Patrick Ciarlet (2013)
T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients
Numerische Mathematik, 124, p. 1-29 (DOI) preprint.pdf

Eric T. Chung, Patrick Ciarlet et Tang Fei Yu (2013)
Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids
Journal of Computational Physics, 235, p. 14-31 (DOI) preprint.pdf

Eric T. Chung et Patrick Ciarlet (2013)
A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials
J. Comput. Appl. Math., 239, p. 189-207 (DOI) preprint.pdf

Patrick Ciarlet (2012)
T-coercivity: application to the discretization of Helmholtz-like problems
Computers Math. Applic., 64, p. 22-34 (DOI) preprint.pdf

Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel et Patrick Ciarlet (2012)
T -coercivity for scalar interface problems between dielectrics and metamaterials
Math. Mod. Num. Anal., 46, p. 1363-1387 (DOI) article.pdf

Lucas Chesnel et Patrick Ciarlet (2011)
Compact imbeddings in electromagnetism with interfaces between classical materials and meta-materials
SIAM J. Math. Anal., 43, p. 2150-2169 (DOI) preprint.pdf

Patrick Ciarlet, Philippe G. Ciarlet, Oana Iosifescu, Stefan Sauter et Jun Zou (2011)
Lagrange multipliers in intrinsic elasticity
Mathematical Models and Methods in Applied Sciences, 21, p. 651-666 (DOI) preprint.pdf

Patrick Ciarlet et Simon Labrunie (2011)
Numerical solution of Maxwell's equations in axisymmetric domains with the Fourier Singular Complement Method
Differential Equations and Applications, 3, p. 113-155 preprint.pdf

Eliane Bécache, Patrick Ciarlet, Christophe Hazard et Eric Lunéville (2010)
La Méthode des Eléments Finis. De la Théorie à la Pratique. II. Compléments
Les Presses de l'ENSTA, Collection Les Cours, 288 pages Les Presses de l'ENSTA 

Patrick Ciarlet, Philippe G. Ciarlet, Oana Iosifescu, Stefan Sauter et Jun Zou (2010)
A Lagrangian approach to intrinsic linearized elasticity
C. R. Acad. Sci. Paris, Ser. I, 348, p. 587–592 (DOI) preprint.pdf (156K)

Patrick Ciarlet et Claire Scheid (2010)
Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields
Mathematical Modelling and Numerical Analysis, 44, p. 647-670 (DOI) preprint.pdf (444K)

Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet et Carlo-Maria Zwölf (2010)
Time harmonic wave diffraction problems in materials with sign-shifting coefficients
J. Comput. Appl. Math., 234, p. 1912-1919 (DOI) preprint.pdf (196K)
(Corrigendum J. Comput. Appl. Math., 234, p. 2616 (2010), erratum.pdf)

Patrick Ciarlet, François Lefèvre, Stephanie Lohrengel et Serge Nicaise (2010)
Weighted regularization for composite materials in electromagnetism
Mathematical Modelling and Numerical Analysis, 44, p. 75-108 (DOI) preprint.pdf (484K)

Annalisa Buffa, Patrick Ciarlet et Erell Jamelot (2009)
Solving electromagnetic eigenvalue problems in polyhedral domains
Numerische Mathematik, 113, p. 497-518 (DOI) preprint.pdf (260K) 

Patrick Ciarlet et Philippe G. Ciarlet (2009)
Direct computation of stresses in planar linearized elasticity
Mathematical Models and Methods in Applied Sciences, 19, p. 1043-1064 (DOI) preprint.pdf (264K) 

Patrick Ciarlet et Grace Hechme (2008)
Computing electromagnetic eigenmodes with continuous Galerkin approximations
Computer Methods in Applied Mechanics and Engineering, 198, p. 358-365 (DOI) preprint.pdf (228K) 

Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet et Carlo-Maria Zwölf (2008)
A new compactness result for electromagnetic waves. Application to the transmission problem between dielectrics and metamaterials
Mathematical Models and Methods in Applied Sciences, 18, p. 1605-1631 (DOI) preprint.pdf (232K)

Franck Assous et Patrick Ciarlet (2008)
A multiscale approach for solving Maxwell's equations in waveguides with conical inclusions
Actes de ICCS'08, Cracovie, Pologne, Part II, Lecture Notes in Computer Science,  5102, Springer, p. 331-340 preprint.pdf (460K)

Franck Assous, Patrick Ciarlet et Emmanuelle Garcia (2008)
A characterization of singular electromagnetic fields by an inductive approach
Numerical Analysis and Modeling, 5, p. 491-515 preprint.pdf (288K)

Patrick Ciarlet et Philippe G. Ciarlet (2008)
A new approach for approximating linear elasticity problems
C. R. Acad. Sci. Paris, Ser. I, 346, p. 351-356 (DOI) preprint.pdf (224K)

Cherif Amrouche, Patrick Ciarlet et Philippe G. Ciarlet (2007)
Vector and scalar potentials, Poincaré's theorem and Korn's inequality
C. R. Acad. Sci. Paris, Ser. I, 345, p. 603-608 (DOI) article.pdf (148K)

Patrick Ciarlet et Erell Jamelot (2007)
Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries
Journal of Computational Physics, 226, p. 1122-1135 (DOI) preprint.pdf (1404K)

Patrick Ciarlet et Samir Kaddouri (2007)
Multiscaled asymptotic expansions for the electric potential: surface charge densities and electric fields at rounded corners
Mathematical Models and Methods in Applied Sciences, 17, p. 845-876 (DOI) article.pdf (332K)

Régine Barthelmé, Patrick Ciarlet et Eric Sonnendrücker (2007)
Generalized formulations of Maxwell's equations for numerical Vlasov-Maxwell simulations
Mathematical Models and Methods in Applied Sciences, 17, p. 657-680 (DOI) article.pdf (304K)

Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet et Carlo-Maria Zwölf (2007)
Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants
J. Comput. Appl. Math., 204, p. 408-417 (DOI) preprint.pdf (116K)

Patrick Ciarlet, Philippe G. Ciarlet, Giuseppe Geymonat et Françoise Krasucki (2007)
Characterization of the kernel of the operator CURL CURL
C. R. Acad. Sci. Paris, Ser. I, 344, p. 305-308 (DOI) article.pdf (124K)

Patrick Ciarlet et Samir Kaddouri (2006)
Justification de la loi de Peek en électrostatique
C. R. Acad. Sci. Paris, Ser. I, 343, p. 671-674 (DOI) preprint.pdf (136K)
(Corrigendum C. R. Acad. Sci. Paris, Ser. I, 344, p. 657 (2007), DOI)

Franck Assous, Patrick Ciarlet, Emmanuelle Garcia et Jacques Segré (2006)
Time-dependent Maxwell's equations with charges in singular geometries
Computer Methods in Applied Mechanics and Engineering, 196, p. 665-681 (DOI) article.pdf (1150K)

Franck Assous et Patrick Ciarlet (2006)
Vlasov-Maxwell simulations in singular geometries
Actes de ICCS'06, Reading, UK, Part IV, Lecture Notes in Computer Science, 3994, Springer, p. 623-630  preprint.pdf (792K)

Patrick Ciarlet, Beate Jung, Samir Kaddouri, Simon Labrunie et Jun Zou (2005)
The Fourier Singular Complement Method for the Poisson problem. Part III: implementation issues
Note technique SFB393/05-12, Technische Universität Chemnitz note.pdf (328K)

Patrick Ciarlet, Beate Jung, Samir Kaddouri, Simon Labrunie et Jun Zou (2006)
The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains
Numerische Mathematik, 102, p. 583-610 (DOI) article.pdf (304K)

Patrick Ciarlet, Beate Jung, Samir Kaddouri, Simon Labrunie et Jun Zou (2005)
The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains
Numerische Mathematik, 101, p. 423-450 (DOI) article.pdf (272K)

Patrick Ciarlet (2005)
Introduction au calcul scientifique. Aspects algorithmiques
Cours de l'ENSTA 2ème Année MA261, 120 pages cours.pdf (824K)

Franck Assous, Patrick Ciarlet et Emmanuelle Garcia (2005)
Singular electromagnetic fields: inductive approach
C. R. Acad. Sci. Paris, Ser. I, 341, p. 605-610 (DOI) article.pdf (96K)

Patrick Ciarlet et Philippe G. Ciarlet (2005)
Another approach to linearized elasticity and a new proof of Korn's inequality
Mathematical Models and Methods in Applied Sciences, 15, p. 259-271 (DOI) article.pdf (224K)

Patrick Ciarlet (2005)
Augmented formulations for solving Maxwell equations
Computer Methods in Applied Mechanics and Engineering, 194, p. 559-586 (DOI) article.pdf (520K)

Patrick Ciarlet, Emmanuelle Garcia et Jun Zou (2004)
Solving Maxwell equations in 3D prismatic domains
C. R. Acad. Sci. Paris, Ser. I, 339, p. 721-726 article.pdf (120K)

Patrick Ciarlet et Philippe G. Ciarlet (2004)
Another approach to linearized elasticity and Korn's inequality
C. R. Acad. Sci. Paris, Ser. I, 339, p. 307-312 article.pdf (116K)

Franck Assous, Patrick Ciarlet, Simon Labrunie et Jacques Segré (2003)
Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The Singular Complement Method
Journal of Computational Physics, 191, p. 147-176 article.pdf (560K)

Patrick Ciarlet (2003)
Système de Stokes avec flux de vitesse et pression imposés
C. R. Acad. Sci. Paris, Ser. I, 337, p. 119-124 article.pdf (108K)

Patrick Ciarlet, Jianguo Huang, et Jun Zou (2003)
Some observations on generalized saddle-point problems
SIAM Journal on Matrix Analysis and Applications, 25, p. 224-236 article.pdf (160K)

Franck Assous et Patrick Ciarlet (2003)
Modèles et méthodes pour les équations de Maxwell
Cours de DEA, Université de Versailles - Saint-Quentin en Yvelines, 173 pages cours.pdf (2,6M)

Patrick Ciarlet et Jun Zou (2003)
The Fourier Singular Complement Method for the Poisson problem in prismatic domains
Rapport Technique CUHK-2003-04 rapport.pdf (750K)

Franck Assous, Patrick Ciarlet et Simon Labrunie (2003)
Solution of axisymmetric Maxwell equations
Mathematical Methods in the Applied Sciences, 26, p. 861-896 article.pdf (316K)
(Voir aussi Préprint Institut Elie Cartan, Nancy I University, 2001/50 (2001) texte.ps (626K))

Patrick Ciarlet et Jiwen He (2003)
La méthode du complément singulier pour des problèmes scalaires 2d
C. R. Acad. Sci. Paris, Ser. I, 336, p. 353-358 article.pdf (120K)

Patrick Ciarlet et Pascal Joly (2002)
Optimisation et algèbre linéaire
Cours de l'ENSTA 1ère Année AO101, 237 pages cours.pdf (4,1M)

Patrick Ciarlet et Vivette Girault (2002)
Condition inf-sup pour l'élément fini de Taylor-Hood P₂-iso-P₁, 3-D; application aux équations de Maxwell
C. R. Acad. Sci. Paris, Ser. I 335, p. 827-832. article.pdf (92K)

Franck Assous, Patrick Ciarlet et Simon Labrunie (2002)
Theoretical tools to solve the axisymmetric Maxwell equations
Mathematical Methods in the Applied Sciences, 25, p. 49-78. article.pdf (240K)
(Voir aussi Rapport de recherche ENSTA no 343 (2000) texte.ps.gz (163K) )

Franck Assous, Patrick Ciarlet, Simon Labrunie et Stephanie Lohrengel (2002)
The singular complement method
In 13th Intl Conf. on Domain Decomposition Methods, N. Debit et al, eds, CIMNE, Barcelona, p. 161-189. texte.pdf (1,514K)

Annalisa Buffa et Patrick Ciarlet (2001)
On traces for functional spaces related to Maxwell's equations.
Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications
Mathematical Methods in the Applied Sciences, 24, p. 31-48. article.pdf (200K)

Patrick Ciarlet, Nikolaï Filonov et Simon Labrunie (2000)
Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique
C. R. Acad. Sci. Paris, t. 331, Série I, p. 293-298. article.pdf (144K)

Franck Assous, Patrick Ciarlet et Jacques Segré (2000)
Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains:
the Singular Complement Method
Journal of Computational Physics, Vol. 161, p. 218-249. article.pdf (472K)

Franck Assous, Patrick Ciarlet et Emmanuelle Garcia (2000)
Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel
C. R. Acad. Sci. Paris,  t. 330, Série I, p. 391-396. article.pdf (156K)

Franck Assous, Patrick Ciarlet et Simon Labrunie (1999)
Caractérisation de la partie singulière et résolution des équations de Maxwell en géométrie singulière axisymétrique
C. R. Acad. Sci. Paris, t. 328, Série I, p. 767-772. article.pdf (280K)

Patrick Ciarlet et Jun Zou (1999)
Fully discrete finite element approaches for time-dependent Maxwell's equations
Numerische Mathematik, Vol. 82, p. 193-219. article.pdf (196K)

Franck Assous, Patrick Ciarlet, Pierre-Arnaud Raviart et Eric Sonnendrücker (1999)
A characterization of the singular part of the solution to Maxwell's equations in a polyhedral domain
Mathematical Methods in the Applied Sciences, Vol. 22, No. 6, p. 485-499. article.pdf (144K)

Franck Assous et Patrick Ciarlet (1998)
Quelques résultats sur la régularité en temps des équations de Maxwell instationnaires
C. R. Acad. Sci. Paris, t. 327, Série I, p. 719-724 / CEA-R-5845. article.pdf (364K)

Patrick Ciarlet, Christophe Hazard et Stephanie Lohrengel (1998)
Les équations de Maxwell dans un polyèdre : un résultat de densité
C. R. Acad. Sci. Paris, t. 326, Série I, p. 1305-1310. article.pdf (340K)

Patrick Ciarlet (1998)
Préconditionnements matriciels et théorie des graphes. Résolution des équations de Maxwell et de modèles approchés
Habilitation à diriger les recherches, Université Pierre et Marie Curie / Rapport de Recherche ENSTA n°314. résumé.ps / Rapport.ps.gz (843K)

Franck Assous, Patrick Ciarlet, Pierre-Arnaud Raviart et Eric Sonnendrücker (1998)
Caractérisation de la partie singulière de la solution des équations de Maxwell dans un domaine polyédrique
Rapport CEA-N-2826, 22 pages, 5 figures. techreport.pdf (732K)

Franck Assous, Patrick Ciarlet et Eric Sonnendrücker (1998)
Resolution of the Maxwell equations in a domain with reentrant corners
RAIRO Mathematical Modelling and Numerical Analysis, Vol. 32, No. 3, p. 359-389. article.pdf (1,2M)

Philippe Blaise, Patrick Ciarlet et Rémi Sentis (1997)
Développements récents dans le code de résolution des équations de Vlasov-Maxwell en 2D structuré MANET
Rapport CEA/DRIF/DCSA/MLS/B3 DO/224/97, 55 pages, 20 figures. techreport.pdf (4,3M)

Franck Assous et Patrick Ciarlet (1997)
Une caractérisation de l'orthogonal de Δ(H²(Ω) ∩ H¹₀(Ω)) dans L²(Ω)
C. R. Acad. Sci. Paris, t. 325, Série I, p. 605-610. résumé.ps

Patrick Ciarlet et Eric Sonnendrücker (1997)
A decomposition of the electric field. Application to the Darwin model
Mathematical Models and Methods in Applied Sciences, Vol. 7, No. 8, p. 1085-1120. résumé.ps

Tony F. Chan, Patrick Ciarlet et W. K. Szeto  (1997)
On the optimality of the median cut spectral bisection graph partitioning method
Siam Journal on Scientific Computing, Vol. 18, No. 3, p. 943-948. résumé.ps

Patrick Ciarlet et Jun Zou (1997)
Finite element convergence for the Darwin model to Maxwell's equations
RAIRO Mathematical Modelling and Numerical Analysis, Vol. 31, No. 2, p. 213-250. résumé.ps

Patrick Ciarlet et Françoise Lamour (1996)
Does contraction preserve triangular meshes?
Numerical Algorithms, Vol. 13, p. 201-223. article.pdf (1M)

Franck Assous, Patrick Ciarlet et Eric Sonnendrücker (1996)
Résolution des équations de Maxwell dans un domaine avec un coin rentrant
C. R. Acad. Sci. Paris, t. 323, Série I, p. 203-208. résumé.ps

Patrick Ciarlet et Françoise Lamour (1996)
On the validity of a front-oriented approach  to partitioning large sparse graphs with a connectivity constraint
Numerical Algorithms, Vol. 12, p. 193-214. article.pdf (1M)

Patrick Ciarlet, Françoise Lamour et Barry F. Smith (1995)
On the influence of the partitioning schemes on the efficiency of overlapping domain decomposition methods
In FRONTIERS'95: the fifth symposium on the frontiers of massively parallel computation, IEEE, p. 375-384. résumé.ps

Patrick Ciarlet et Françoise Lamour (1994)
Recursive partitioning methods and greedy partitioning methods: a comparison on finite element graphs
Technical Report, UCLA, CAM 94-09, 27 pages, 10 figures. résumé.ps

Patrick Ciarlet (1994)
Repeated Red-Black ordering: a new approach
Numerical Algorithms, Vol. 7, p. 295-324.

Patrick Ciarlet (1994)
Implementation of a domain decomposition method well-suited for parallel architectures
International Journal of High Speed Computing, Vol. 6, p. 157-182. article.pdf (948K)

Patrick Ciarlet (1993)
A comparison of three iterative algorithms based on domain decomposition methods
In Domain decomposition methods in scientific and engineering computing, 7th Domain decomposition meeting, 1993, D. E. Keyes and J. Xu, Eds, Contemporary Mathematics, Vol. 180, p. 387-393.

Patrick Ciarlet (1993)
A decomposition of L²(Ω)³ and an application to magnetostatic equations
Mathematical Models and Methods in Applied Sciences, Vol. 3, No. 3, p. 289-301.