Propagation of fields at the interface between metals or meta-materials and classical dielectric media. In physics, these models allow one to take into account the onset and propagation of surface plasmons. With the help of the T-coercivity theory, one can solve those models mathematically and numerically when they are well-posed. One can also build configurations for which the problem is ill-posed. Current research focuses on the redefinition of the model in this case and on the design of adequate numerical methods.
Computation of electromagnetic fields with edge finite element, continuous Galerkin finite element, and DG, methods.
External collaborations: domain decomposition methods to solve the neutron diffusion equation in realistic configurations (Coll. CEA/Saclay) ; discretization of Stokes and Navier-Stokes equations (Coll. CEA/Saclay) ; new discretization methods for elliptic problems (Coll. Univ. Zürich).
A link to Google Scholar
Page of Patrick Ciarlet
Patrick
Ciarlet |
Teacher / Researcher Professeur H.D.R. since 1998 Personal web page |
|
ENSTA UMA office 2.2.27 Phone : (0) 18 187 2092 |
Research Activities
Teachings
Professor at ENSTA.
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Associate Professor, Ecole Polytechnique, 1999-2000 and 2005-2007.
Guest Professor (Graduate Studies), University of Houston, USA, March 2002.
Guest Professor (Graduate Studies), University of Strasbourg, October 2002.
Visiting Professor at the Chinese University of Hong Kong, China, January-July 2010.
Guest Professor (Graduate Studies), Universidade de Santiago de Compostela, Spain, March 2011.
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Associate Professor, Ecole Polytechnique, 1999-2000 and 2005-2007.
Guest Professor (Graduate Studies), University of Houston, USA, March 2002.
Guest Professor (Graduate Studies), University of Strasbourg, October 2002.
Visiting Professor at the Chinese University of Hong Kong, China, January-July 2010.
Guest Professor (Graduate Studies), Universidade de Santiago de Compostela, Spain, March 2011.
Papers in peer-reviewed journal
ESAIM:M2AN
SIAM Journal on Mathematical Analysis - vol. 54(2)
Advances in Computational Mathematics - vol. 48
Computer Methods in Applied Mechanics and Engineering
SIAM Journal on Mathematical Analysis - vol. 53 (pp 2691-2717 )
Computers and Mathematics with Applications - vol. 80 (pp 471-489 )
SIAM Journal on Mathematical Analysis - vol. 52 (pp 3004-3038 )
IMA Journal of Applied Mathematics - vol. 85 (pp 132–159 )
SIAM J. Numer. Anal. - vol. 57 (pp 1723-1743 )
Analysis and Applications - vol. 16 (pp 649-691 )
Math. Mod. Num. Anal. - vol. 52 (pp 2003-2035 )
Math. Mod. Num. Anal. - vol. 52 (pp 2037-2064 )
SIAM J. Numer. Anal.
Computers & Mathematics with Applications - vol. 73(9) (pp 1900-1919 )
C. R. Acad. Sci. Paris, Ser. I - vol. 355 (pp 671-675 )
Computers & Mathematics with Applications - vol. 74 (pp 2369-2384 )
Journal of Computational Physics - vol. 351 (pp 165–186 )
Numer. Math. - vol. 132 (pp 433-462 )
Computers Math. Applic. - vol. 71 (pp 85-104 )
J. Comput. Phys. - vol. 322 (pp 224-247 )
Communications in Partial Differential Equations - vol. 39 (pp 1007-1031 )
SIAM J. Numer. Anal. - vol. 52 (pp 779-807 )
J. Comput. Appl. Math. - vol. 239 (pp 189-207 )
J. Comput. Phys. - vol. 235 (pp 14-31 )
J. Comput. Phys. - vol. 241 (pp 445-463 )
J. Numer. Math. - vol. 21 (pp 173-180 )
Computers Math. Applic. - vol. 64 (pp 2234 )
Math. Models Meth. App. Sci. - vol. 21 (pp 651-666 )
Differential Equations and Applications - vol. 3 (pp 113-155 )
Journal of Computational and Applied Mathematics - vol. 234(6) (pp 1912-1919 )
Analysis and Applications - vol. 8 (pp 1-17 )
ESAIM: Mathematical Modelling and Numerical Analysis - vol. 44 (pp 75-108 )
ESAIM: Mathematical Modelling and Numerical Analysis - vol. 44 (4) (pp 647-670 )
C. R. Acad. Sci. Paris, Ser. I - vol. 348 (pp 587-592 )
Math. Models Meth. App. Sci. - vol. 19 (7) (pp 1043-1064 )
Math. Models Meth. App. Sci. - vol. 19 (11) (pp 1959-1994 )
Numerische Mathematik. - vol. 113 (4) (pp 497-518 )
Math. Models Meth. App. Sci. - vol. 18 (9) (pp 1605-1631 )
C. R. Acad. Sci. Paris, Ser. I - vol. 346 (5-6) (pp 351-356 )
Comput. Methods Appl. Mech. Engrg. - vol. 198 (2) (pp 358-365 )
Journal of Computational and Applied Mathematics - vol. 204 (2 SPEC) (pp 408-417 )
Math. Models Meth. App. Sci. - vol. 17 (5) (pp 657-680 )
Math. Models Meth. App. Sci. - vol. 17 (6) (pp 845-876 )
Comptes Rendus Mathématique - vol. 344 (I) (pp 305-308 )
Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries (2007)
J. Comput. Phys. - vol. 226 (1) (pp 1122-1135 )
C. R. Acad. Sci. Paris, Ser. I - vol. 345 (pp 603-608 )
The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains (2006)
Numerische Mathematik - vol. 102 (pp 583-610 )
Computer Methods in Applied Mechanics and Engineering - vol. 196(1-3) (pp 665-681 )
Comptes Rendus Mathématique - vol. 343 (10) (pp 671-674 )
Numerische Mathematik - vol. 101 (pp 423-450 )
C. R. Acad. Sci. Paris, Ser. I - vol. 341 (10) (pp 605-610 )
Computer Methods in Applied Mechanics and Engineering - vol. 194(2-5) (pp 559-586 )
Mathematical Models and Methods in Applied Sciences - vol. 15(02) (pp 259-271 )
C. R. Acad. Sci. Paris, Ser. I - vol. 339 (10) (pp 721-726 )
Comptes Rendus Mathematique - vol. 339(4) (pp 307-312 )
Journal of Computational Physics - vol. 191(1) (pp 147-176 )
Comptes Rendus Mathematique - vol. 337(2) (pp 119-124 )
SIAM Journal on Matrix Analysis and Applications - vol. 25(1) (pp 224-236 )
Mathematical Methods in the Applied Sciences - vol. 26(10) (pp 861-896 )
Comptes Rendus Mathematique - vol. 336(4) (pp 353-358 )
Comptes Rendus Mathematique - vol. 335(10) (pp 827-832 )
Mathematical Methods in the Applied Sciences - vol. 25 (1) (pp 49-78 )
Mathematical Methods in the Applied Sciences - vol. 24 (1) (pp 31-48 )
Mathematical Methods in the Applied Sciences - vol. 24 (1) (pp 9-30 )
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics - vol. 331(4) (pp 293-298 )
Journal of Computational Physics - vol. 161(1) (pp 218-249 )
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics - vol. 330 (pp 391-396 )
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics - vol. 328(9) (pp 767-772 )
Numerische Mathematik - vol. 82(2) (pp 193-219 )
Mathematical Methods in the Applied Sciences - vol. 22 (pp 485-499 )
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics - vol. 327(8) (pp 719-724 )
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics - vol. 326(11) (pp 1305-1310 )
Modélisation Mathématique et Analyse Numérique - vol. 32(3) (pp 359-389 )
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics - vol. 325(6) (pp 605-610 )
Mathematical Models and Methods in Applied Sciences - vol. 7(8) (pp 1085-1120 )
SIAM Journal on Scientific Computing - vol. 18(3) (pp 943-948 )
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique - vol. 31(2) (pp 213-250 )
Books
Applied Mathematical Sciences Series, Springer
Coll. Les Cours, Les Presses de l'ENSTA, 288 pages
Coll. Les Cours, Les Presses de l'ENSTA, 200 pages
International conferences with proceedings
Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Jeju, Korea
11th International Congress on Engineered Materials Platforms for Novel Wave Phenomena (Metamaterials’2017), IEEE (pp 61-63 )
DDM'21, Lecture Notes in Computational Science and Engineering, 98 - Springer (pp 677-685 )
Report No.3/2013 of Mathematisches Forschungsinstitut Oberwolfach "Computational Electromagnetism and Acoustics", Oberwolfach., Allemagne
ICCS'08, Lecture Notes in Computer Science - Springer - vol. 5102 (pp 331-340 )
ICCS'06, Lecture Notes in Computer Science - Springer - vol. 3994 (pp 623-630 )
Numerical mathematics and advanced applications (ENUMATH 2005), Santiago de Compostela, Espagne - Springer (pp 547-554 )
13th Conf. on Domain Decomposition Methods, 2000, N. Debit et al, Eds - CIMNE, Barcelona (pp 161-189 )
Mathematical and numerical aspects of wave propagation (WAVES 2000), Santiago de Compostela, Espagne - SIAM, Philadelphia (pp 714-718 )
Conferences without proceedings
WAVES, Karlsrhuhe
Revealing guides modes in a plasmonic waveguide using Perfectly Matched Layers at the corners (2014)
OWTNM, Nice, France
ETOPIM (Electrical, Transport and Optical Properties of Inhomogeneous Media), Marseille
MATHmONDES 2012, Reading
Congrès de MÉthodes numériques et MOdélisation, Tunis
Journées de Metz 2012
Congrès d'inauguration de la Fondation Mathématique Jacques Hadamard, Ecole Polytechnique, Palaiseau
NUMELEC
8th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'07), Reading
7th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'05)
7th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'05), Providence
H.D.R.
Research reports
Preprints
Lecture
Cours du M2 Analyse, Modélisation et Simulation, 225 pages
Cours de 2ème année, 120 pages, ENSTA
Cours de 3ème année, 160 pages, ENSTA