Publications of Patrick Ciarlet
 

Camille Carvalho, Patrick Ciarlet and Claire Scheid (to appear)
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 and 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 and 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 and 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 and 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 and 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 and Félix Kpadonou (2019)
An efficient preconditioner for H-matrix accelerated Boundary Element Methods for 3D wave propagation problems

Proceedings of CSMA 2019 preprint.pdf

Patrick Ciarlet and 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 and 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 and 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 and 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 and 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 and Patrick Ciarlet (2017)
Nonlocal models for interface problems between dielectrics and metamaterials

Proceedings of 11th International Congress on Engineered Materials Platforms for Novel Wave Phenomena, IEEE, p. 61-63 preprint.pdf

Stéphanie Chaillat, Patrick Ciarlet and 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 and 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 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

Patrick Ciarlet, Léandre Giret and Erell Jamelot (2017)
Criticality computation with finite element method on non-conforming meshes

Proceedings of M&C 2017 preprint.pdf

Camille Carvalho, Lucas Chesnel and 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 and 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 and 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 and Jean-Jacques Lautard (2014)
Domain decomposition for the neutron SPN equations

Proceedings of DDM'21, Lecture Notes in Computational Science and Engineering, 98, Springer, p. 677-685 preprint.pdf

Patrick Ciarlet and 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 and Patrick Ciarlet (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, Haijun Wu and 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 and Patrick Ciarlet (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 and Patrick Ciarlet (2013)
Plasmonic cavity modes: black-hole phenomena captured by Perfectly Matched Layers

In PIERS 2013, Stockholm, Sweden, 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 and 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 and 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 and 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 and 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 and 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 and 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 and Jun Zou (2011)
Lagrange multipliers in intrinsic elasticity
Mathematical Models and Methods in Applied Sciences, 21, p. 651-666 (DOI) preprint.pdf

Patrick Ciarlet and 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 and Eric Lunéville (2010) [In French]
La Méthode des Eléments Finis. De la Théorie à la Pratique. II. Compléments

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

Patrick Ciarlet, Philippe G. Ciarlet, Oana Iosifescu, Stefan Sauter and 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 and 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 and 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 and 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 and 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, Guillaume Legendre and 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 and 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 and Erell Jamelot (2009)
Solving electromagnetic eigenvalue problems in polyhedral domains
Numerische Mathematik, 113, p. 497-518 (DOI) preprint.pdf (260K) 

Patrick Ciarlet and 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 and Eric Lunéville (2009) [In French]
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 and 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 and 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 and Patrick Ciarlet (2008)
A multiscale approach for solving Maxwell's equations in waveguides with conical inclusions
Proceedings of ICCS'08, Cracovia, Poland, Part II, Lecture Notes in Computer Science,  5102, Springer, p. 331-340 preprint.pdf (460K)

Franck Assous, Patrick Ciarlet and 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 and 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 and 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 and 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 and 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 and 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 and 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 and 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, Philippe G. Ciarlet, Giuseppe Geymonat and 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 and Samir Kaddouri (2006)
A justification of Peek's empirical law in electrostatics
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))

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

Patrick Ciarlet and Erell Jamelot (2006)
Continuous Galerkin methods for solving Maxwell equations in 3D geometries

Proceedings of 
ENUMATH 2005, Santiago de Compostela, Spain, Springer, p. 547-554  preprint.pdf (848K) 

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

Patrick Ciarlet, Beate Jung, Samir Kaddouri, Simon Labrunie and 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 and 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)

Franck Assous, Patrick Ciarlet and 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 and 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 and 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 and 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 and 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)
Stokes equations with given velocity fluxes and pressure
C. R. Acad. Sci. Paris, Ser. I, 337, p. 119-124 article.pdf (108K)

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

Patrick Ciarlet and Jun Zou (2003)
The Fourier Singular Complement Method for the Poisson problem in prismatic domains
Technical Report CUHK-2003-04 report.pdf (750K)

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

Patrick Ciarlet and Jiwen He (2003)
The singular complement method for 2d scalar problems
C. R. Acad. Sci. Paris, Ser. I, 336, p. 353-358 article.pdf (120K)

Patrick Ciarlet and V. Girault (2002)
Inf-sup condition for the 3-D P2-iso-P1 Taylor-Hood finite element; application to Maxwell equations
C. R. Acad. Sci. Paris, Ser. I, 335, p. 827-832 article.pdf (92K)

Franck Assous, Patrick Ciarlet and Simon Labrunie (2002)
Theoretical tools to solve the axisymmetric Maxwell equations
Mathematical Methods in the Applied Sciences, 25, p. 49-78. article.pdf (240K)
(see also ENSTA Research Report no 343 (2000) text.ps.gz (163K))

Franck Assous, Patrick Ciarlet, Simon Labrunie and 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. text.pdf (1,514K)

Annalisa Buffa and 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)

Annalisa Buffa and Patrick Ciarlet (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, Nikolaï Filonov and Simon Labrunie (2000)
A result of closedness for Maxwell's equations in an axisymmetric geometry
C. R. Acad. Sci. Paris, t. 331, Serie I, p. 293-298. article.pdf (144K)

Franck Assous, Patrick Ciarlet and Jacques Segre (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 and Emmanuelle Garcia (2000)
The solution to the time-dependent Maxwell equations with charges in a 2d nonsmooth domain
C. R. Acad. Sci. Paris,  t. 330, Serie I, p. 391-396. article.pdf (156K)

Franck Assous, Patrick Ciarlet and Simon Labrunie (1999)
Characterization of the singular part of the solution of steady state Maxwell's equations in an axisymmetric domain
C. R. Acad. Sci. Paris, t. 328, Serie I, p. 767-772. article.pdf (280K)

Patrick Ciarlet and 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 and Eric Sonnendrucker (1999)
Characterization of the singular part of the solution of 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 and Patrick Ciarlet (1998)
Regularity in time of the time-dependent Maxwell equations
C. R. Acad. Sci. Paris, t. 327, Serie I, p. 719-724 / Research Report CEA-R-5845. article.pdf (364K)

Patrick Ciarlet, Christophe Hazard and Stephanie Lohrengel (1998)
Maxwell's equations in a polyhedron: a density result
C. R. Acad. Sci. Paris, t. 326, Serie I, p. 1305-1310. article.pdf (340K)

Patrick Ciarlet (1998)
Preconditioning and graph theory. Solution to Maxwell's equations and approximate models (in French)
Habilitation a diriger les recherches, Paris VI University / ENSTA Research Report no 314. abstract.ps / Report.ps.gz (843K)

Franck Assous, Patrick Ciarlet, Pierre-Arnaud Raviart and Eric Sonnendrücker (1998)
Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain (in French)
Technical report CEA-N-2826, 22 pages, 5 figures. techreport.pdf (732K)

Franck Assous, Patrick Ciarlet and Eric Sonnendrucker (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 and Remi Sentis (1997)
Recent developments in the MANET software for solving the Vlasov-Maxwell equations on 2d structured grids (in French)
Technical report CEA/DRIF/DCSA/MLS/B3 DO/224/97, 55 pages, 20 figures. techreport.pdf (4,3M)

Franck Assous and Patrick Ciarlet (1997)
A characterization of the orthogonal of Δ(H2)H10(Ω)) in L2(Ω)
C. R. Acad. Sci. Paris, t. 325, Serie I, p. 605-610. abstract.ps

Patrick Ciarlet and Eric Sonnendrucker (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. abstract.ps

Tony F. Chan, Patrick Ciarlet and 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. abstract.ps

Patrick Ciarlet and 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. abstract.ps

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

Franck Assous, Patrick Ciarlet and Eric Sonnendrucker (1996)
Solution to Maxwell's equations in a domain with a reentrant corner
C. R. Acad. Sci. Paris, t. 323, Série I, p. 203-208. abstract.ps

Patrick Ciarlet and 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 and 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. abstract.ps

Patrick Ciarlet and 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. abstract.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.

Patrick Ciarlet (1992)
A study of parallel preconditioners for solving elliptic partial differential equations. A decomposition of L2(Ω)3  (in French)
PhD Thesis,  Paris VI University.