Liste de publications de Patrick Ciarlet, Jr.
 

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

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

Patrick Ciarlet, Jr., Charles Dunkl et Stefan Sauter (à paraître)
A family of Crouzeix-Raviart Finite Elements in 3D
Analysis and Applications (DOI) preprint.pdf

Franck Assous, Patrick Ciarlet, Jr. 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, Jr. (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, Jr. (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, Jr. 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, Jr., 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, Jr., Sonia Fliss and 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

Camille Carvalho, Lucas Chesnel et Patrick Ciarlet, Jr. (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, Jr. (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, Jr. (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, Jr., 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, Jr., 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, Jr. et Christian Stohrer (2014)
Finite element heterogeneous multiscale method for the Helmholtz equation

C. R. Acad. Sci. Paris, Ser. I, 352, p. 755-760
(DOI) preprint.pdf

Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel et Patrick Ciarlet, Jr. (2014)
T-coercivity for the Maxwell problem with sign-changing coefficients

Communications in Partial Differential Equations, 39, p. 1007-1031
(DOI) preprint.pdf

Patrick Ciarlet, Jr., 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, Lucas Chesnel et Patrick Ciarlet, Jr. (2014)
Two-dimensional Maxwell's equations with sign-changing coefficients

Applied Numerical Mathematics, 79, p. 29-41
(DOI) preprint.pdf

Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Lucas Chesnel et Patrick Ciarlet, Jr. (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, Jr. (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, Jr. (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, Jr. (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, Jr. 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, Jr. (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, Jr. (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, Jr. (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, Jr. (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, Jr., 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, Jr. 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, Jr., 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, Jr., 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, Jr. 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)

Cherif Amrouche, Patrick Ciarlet, Jr. et Philippe G. Ciarlet (2010)
Weak vector and scalar potentials. Applications to Poincaré's theorem and Korn's inequality in Sobolev spaces with negative exponents

Analysis and Applications, 8, p. 1-17
(DOI) preprint.pdf (200K)

Anne-Sophie Bonnet-Ben Dhia, Patrick Ciarlet, Jr. 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, Jr., 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)

Patrick Ciarlet, Jr., Guillaume Legendre et Serge Nicaise (2009)
Time-domain study of the Drude–Born–Fedorov model for a class of heterogeneous chiral materials

Preprint hal-00430196
preprint.pdf

Patrick Ciarlet, Jr. et Simon Labrunie (2009)
Numerical analysis of the generalized Maxwell equations (with an elliptic correction) for charged particle simulations

Mathematical Models and Methods in Applied Sciences, 19, p. 1959-1994 
(DOI) preprint.pdf (368K) 

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

Patrick Ciarlet, Jr. 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, Jr. et Eric Lunéville (2009)
La Méthode des Eléments Finis. De la Théorie à la Pratique. I. Concepts Généraux

Les Presses de l'ENSTA, Collection Les Cours, 188 pages 
Les Presses de l'ENSTA

Patrick Ciarlet, Jr. 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, Jr. 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, Jr. (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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr. et Guillaume Legendre (2007)
Well-posedness of the Drude-Born-Fedorov model for chiral media

Mathematical Models and Methods in Applied Sciences, 17, p. 461-484 
(DOI) article.pdf (280K) erratum.pdf (80K)

Patrick Ciarlet, Jr., 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, Jr. 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, Jr., 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, Jr. (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, Jr. et Erell Jamelot (2006)
Continuous Galerkin methods for solving Maxwell equations in 3D geometries

Actes de ENUMATH 2005, Santiago de Compostela, Espagne, Springer, p. 547-554 
preprint.pdf (848K)

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

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

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

Patrick Ciarlet, Jr. 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, Jr. 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, Jr., 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, Jr. (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)

Annalisa Buffa et Patrick Ciarlet, Jr. (2001)
On traces for functional spaces related to Maxwell's equations.
Part I: an integration by parts formula in Lipschitz polyhedra
Mathematical Methods in the Applied Sciences, 24, p. 9-30. article.pdf (225K)

Patrick Ciarlet, Jr., 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr., 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, Jr. (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, Jr., 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, Jr. (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 no 314. résumé.ps / Rapport.ps.gz (843K)

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

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

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

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

Patrick Ciarlet, Jr. (1992)
Etude de préconditionnements parallèles pour la résolution d'équations aux dérivées partielles elliptiques.
Une décomposition de l'espace L2(Omega)3
Thèse de l'Université Pierre et Marie Curie.