Franck Assous, Patrick Ciarlet, Jr., 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, Jr. (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, Jr., 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr., Simon Labrunie and Stephanie Lohrengel (2002)
The singular complement method
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, 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)

Patrick Ciarlet, Jr., 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr., 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, Jr. (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, Jr., 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, Jr. (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 n^o 314. abstract.ps / Report.ps.gz (843K)

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

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

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