Publications (2004-2011)
 

Lucas Chesnel and 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 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, Jr. 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, Jr., 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, Jr., 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, Jr. 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, Jr. 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, Jr. 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, Jr., 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, Jr. 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, Jr. and Erell Jamelot (2009)
Solving electromagnetic eigenvalue problems in polyhedral domains
Numerische Mathematik, 113, p. 497-518 (DOI) preprint.pdf (260K) 

Patrick Ciarlet, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr. (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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr. 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, Jr., 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, Jr. 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, Jr., 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, Jr. (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, Jr. 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, Jr., Beate Jung, Samir Kaddouri, Simon Labrunie et 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, Jr., 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, Jr., 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, Jr. 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, Jr. 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, 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 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, Jr. 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)


 

        Other publications (before 2004)