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## Ciarlet, Patrick jun.

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 Author ID: ciarlet.patrick-jun Published as: Ciarlet Jr., P.; Ciarlet Jr., Patrick; Ciarlet jun., Patrick; Ciarlet, P.; Ciarlet, P. jun; Ciarlet, P. jun.; Ciarlet, Patrick; Ciarlet, Patrick jun.; Ciarlet, Patrick jun. Homepage: http://perso.ensta-paristech.fr/~ciarlet/eng_publi.html
 Documents Indexed: 96 Publications since 1993, including 1 Book
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#### Co-Authors

 9 single-authored 20 Assous, Franck 11 Labrunie, Simon 10 Ciarlet, Philippe Gaston 9 Bonnet-Ben Dhia, Anne-Sophie 9 Zou, Jun 7 Chesnel, Lucas 7 Jamelot, Erell 6 Garcia, Emmanuelle 4 Kaddouri, Samir 4 Sauter, Stefan A. 4 Segré, Jacques 4 Sonnendrücker, Eric 3 Buffa, Annalisa 3 Carvalho, Camille 3 Lohrengel, Stephanie 3 Zwölf, C. M. 2 Amrouche, Chérif 2 Chaillat, Stéphanie 2 Chung, Tsz Shun Eric 2 Iosifescu, Oana 2 Kpadonou, F. D. 2 Lamour, F. 2 Legendre, Guillaume 2 Raviart, Pierre-Arnaud 2 Stohrer, Christian 1 Barthelmé, Régine 1 Baudron, Anne-Marie 1 Borthagaray, Juan Pablo 1 Campos Pinto, Martin 1 Chan, Tony Fan-Cheong 1 Desiderio, Luca 1 Després, Bruno 1 Dunkl, Charles F. 1 Filonov, Nikolai D. 1 Fliss, Sonia 1 Françoise, Krasucki 1 Geymonat, Giuseppe 1 Girault, Vivette 1 Giret, L. 1 Hazard, Christophe 1 He, Jiwen 1 Hechme, Grace 1 Huang, Jianguo 1 Jung, Beate 1 Jung, Byungho 1 Kpadonou, Félix 1 Lautard, Jean-Jacques 1 Lefèvre, François 1 Meurant, Gérard A. 1 Nicaise, Serge 1 Nicolopoulos, Anouk 1 Scheid, Claire 1 Simian, Corina 1 Sonnenbrücker, E. 1 Szeto, W. K. 1 Vohralík, Martin 1 Wu, Haijun 1 Yu, Tang Fei
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#### Serials

 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Journal of Computational Physics 7 Numerische Mathematik 6 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 5 Computers & Mathematics with Applications 5 Mathematical Methods in the Applied Sciences 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Computational and Applied Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Numerical Algorithms 2 SIAM Journal on Numerical Analysis 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 SIAM Journal on Mathematical Analysis 2 Analysis and Applications (Singapore) 1 IMA Journal of Applied Mathematics 1 Mathematics and Computers in Simulation 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Communications in Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 SIAM Journal on Scientific Computing 1 Journal of Numerical Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Applied Mathematical Sciences 1 Differential Equations and Applications
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#### Fields

 64 Partial differential equations (35-XX) 55 Optics, electromagnetic theory (78-XX) 53 Numerical analysis (65-XX) 8 Mechanics of deformable solids (74-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Functional analysis (46-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

82 Publications have been cited 1,039 times in 602 Documents Cited by Year
On traces for functional spaces related to Maxwell’s equations. I: An integration by parts formula in Lipschitz polyhedra. Zbl 0998.46012
Buffa, A.; Ciarlet, P. jun.
2001
Fully discrete finite element approaches for time-dependent Maxwell’s equations. Zbl 1126.78310
Ciarlet, P. jun.; Zou, Jun
1999
On traces for functional spaces related to Maxwell’s equations. II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications. Zbl 0976.46023
Buffa, A.; Ciarlet, P. jun.
2001
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
2005
$$T$$-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
2012
Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method. Zbl 1007.78014
Assous, F.; Ciarlet, P. jun.; Segré, J.
2000
Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell’s equations on Cartesian grids. Zbl 1291.65278
Chung, Eric T.; Ciarlet, Patrick jun.; Yu, Tang Fei
2013
Augmented formulations for solving Maxwell equations. Zbl 1063.78018
Ciarlet, Patrick jun.
2005
Resolution of the Maxwell equations in a domain with reentrant corners. Zbl 0924.65111
Assous, F.; Ciarlet, P. jun.; Sonnendrücker, E.
1998
Time harmonic wave diffraction problems in materials with sign-shifting coefficients. Zbl 1202.78026
Bonnet-Ben Dhia, A. S.; Ciarlet, P. jun.; Zwölf, C. M.
2010
A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials. Zbl 1260.78007
Chung, Eric T.; Ciarlet, Patrick jun.
2013
Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements. Zbl 1180.78048
Buffa, Annalisa; Ciarlet, Patrick jun.; Jamelot, Erell
2009
Theoretical tools to solve the axisymmetric Maxwell equations. Zbl 0995.35070
Assous, F.; Ciarlet, P. jun.; Labrunie, S.
2002
Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The singular complement method. Zbl 1033.65086
Assous, F.; Ciarlet, P. jun.; Labrunie, S.; Segré, J.
2003
T-coercivity for the Maxwell problem with sign-changing coefficients. Zbl 1297.35229
Dhia, Anne-Sophie Bonnet-Ben; Chesnel, Lucas; Ciarlet, Patrick jun.
2014
$$T$$-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients. Zbl 1271.65137
Chesnel, Lucas; Ciarlet, Patrick jun.
2013
The singular complement method for 2d scalar problems. Zbl 1028.65118
Ciarlet, Patrick jun.; He, Jiwen
2003
Finite element convergence for the Darwin model to Maxwell’s equations. Zbl 0887.65121
Ciarlet, P. jun.; Zou, Jun
1997
Time-dependent Maxwell’s equations with charges in singular geometries. Zbl 1121.78305
Assous, F.; Ciarlet, P. jun.; Garcia, E.; Segré, J.
2006
Characterization of the singular part of the solution of Maxwell’s equations in a polyhedral domain. Zbl 0931.35169
Assous, F.; Ciarlet, Patrick jun.; Raviart, P.-A.; Sonnendrücker, E.
1999
Two-dimensional Maxwell’s equations with sign-changing coefficients. Zbl 1291.78018
Bonnet-Ben Dhia, A.-S.; Chesnel, L.; Ciarlet, P. jun.
2014
The Fourier singular complement method for the Poisson problem. I: Prismatic domains. Zbl 1084.65123
Ciarlet, P. jun.; Jung, B.; Kaddouri, S.; Labrunie, S.; Zou, J.
2005
Some observations on generalized saddle-point problems. Zbl 1130.35300
Ciarlet, P. jun.; Huang, Jianguo; Zou, Jun
2003
Inf-sup condition for the 3-D $$P_2$$-iso-$$P_1$$ Taylor-Hood finite element; application to Maxwell equations. Zbl 1021.78009
Ciarlet, Patrick jun.; Girault, Vivette
2002
Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
2009
Computing electromagnetic eigenmodes with continuous Galerkin approximations. Zbl 1194.78053
Ciarlet, Patrick jun.; Hechme, Grace
2008
Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants. Zbl 1136.78003
Bonnet-Ben Dhia, A. S.; Ciarlet, P. jun.; Zwölf, C. M.
2007
The Fourier singular complement method for the Poisson problem. II: Axisymmetric domains. Zbl 1088.65103
Ciarlet, P. jun.; Jung, B.; Kaddouri, S.; Labrunie, S.; Zou, J.
2006
On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell’s equations. Zbl 1379.78020
Ciarlet, Patrick jun.; Fliss, Sonia; Stohrer, Christian
2017
On the use of perfectly matched layers at corners for scattering problems with sign-changing coefficients. Zbl 1351.78035
Bonnet-Ben Dhia, A.-S.; Carvalho, C.; Chesnel, L.; Ciarlet, P.
2016
Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. Zbl 1190.49004
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
2010
A new compactness result for electromagnetic waves. Application to the transmission problem between dielectrics and metamaterials. Zbl 1173.35119
Bonnet-Ben Dhia, A.-S.; Ciarlet, P. jun.; Zwölf, C. M.
2008
Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki
2007
$$T$$-coercivity: application to the discretization of Helmholtz-like problems. Zbl 1252.35022
Ciarlet, Patrick jun.
2012
Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 06231555
Ciarlet, P. jun.
2013
Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
2007
Mathematical foundations of computational electromagnetism. Zbl 1452.78001
Assous, Franck; Ciarlet, Patrick; Labrunie, Simon
2018
Edge element methods for Maxwell’s equations with strong convergence for Gauss’ laws. Zbl 1304.35668
Ciarlet, Patrick jun.; Wu, Haijun; Zou, Jun
2014
Generalized formulations of Maxwell’s equations for numerical Vlasov-Maxwell simulations. Zbl 1134.35103
Barthelmé, Régine; Ciarlet, Patrick jun.; Sonnendrücker, Eric
2007
Well-posedness of the Drude-Born-Fedorov model for chiral media. Zbl 1126.78002
Ciarlet, Patrick jun.; Legendre, Guillaume
2007
Another approach to linearized elasticity and Korn’s inequality. Zbl 1063.74009
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
2004
Compact imbeddings in electromagnetism with interfaces between classical materials and metamaterials. Zbl 1250.78007
Chesnel, Lucas; Ciarlet, Patrick jun.
2011
Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries. Zbl 1128.78002
Ciarlet, Patrick jun.; Jamelot, Erell
2007
Solution of axisymmetric Maxwell equations. Zbl 1100.78007
Assous, Franck; Ciarlet, Patrick jun.; Labrunie, Simon
2003
Theory and implementation of $$\mathcal{H}$$-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels. Zbl 1380.65397
Chaillat, Stéphanie; Desiderio, Luca; Ciarlet, Patrick
2017
Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. Zbl 1349.65428
Jamelot, Erell; Ciarlet, Patrick
2013
Weighted regularization for composite materials in electromagnetism. Zbl 1192.78039
Ciarlet, Patrick jun.; Lefèvre, François; Lohrengel, Stéphanie; Nicaise, Serge
2010
The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain. Zbl 1007.78015
Assous, Franck; Ciarlet, Patrick jun.; Garcia, Emmanuelle
2000
Maxwell’s equations in a polyhedron: A density result. Zbl 0915.35099
Ciarlet, Patrick jun.; Hazard, Christophe; Lohrengel, Stephanie
1998
Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients. Zbl 1417.65187
Ciarlet Jr., Patrick; Vohralík, Martin
2018
Domain decomposition methods for the diffusion equation with low-regularity solution. Zbl 1402.65155
Ciarlet, Patrick jun.; Jamelot, E.; Kpadonou, F. D.
2017
Numerical solution of Maxwell’s equations in axisymmetric domains with the Fourier singular complement method. Zbl 1213.78034
Ciarlet, Patrick jun.; Labrunie, Simon
2011
On the validity of a front-oriented approach to partitioning large sparse graphs with a connectivity constraint. Zbl 0861.90119
Ciarlet, P. jun.; Lamour, F.
1996
Finite-element heterogeneous multiscale method for the Helmholtz equation. Zbl 1301.65120
Ciarlet, Patrick jun.; Stohrer, Christian
2014
Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun
2011
Singular electromagnetic fields: inductive approach. Zbl 1081.35111
Assous, Franck; Ciarlet, Patrick jun.; Garcia, Emmanuelle
2005
The singular complement method. Zbl 1026.65094
Assous, F.; Ciarlet, P. jun; Labrunie, S.; Lohrengel, S.
2002
A characterization of the orthogonal of $$\Delta(H^2(\Omega)\cap H_0^1(\Omega))$$ in $$L^2(\Omega)$$. Zbl 0892.35043
Assous, Franck; Ciarlet, Patrick jun.
1997
A decomposition of the electromagnetic field – application to the Darwin model. Zbl 0890.65128
Ciarlet, P. jun.; Sonnenbrücker, E.
1997
On the optimality of the median cut spectral bisection graph partitioning method. Zbl 0872.65056
Chan, Tony F.; Ciarlet, P. jun.; Szeto, W. K.
1997
Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091
Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C.
2016
Continuous Galerkin methods for solving Maxwell equations in 3D geometries. Zbl 1128.78011
Ciarlet, Patrick jun.; Jamelot, Erell
2006
Solving Maxwell equations in 3D prismatic domains. Zbl 1068.78001
Ciarlet, Patrick; Garcia, Emmanuelle; Zou, Jun
2004
A result of closedness for Maxwell’s equations in an axisymmetric domain. Zbl 0961.35159
Ciarlet, Patrick jun.; Filonov, Nikolaï; Labrunie, Simon
2000
On the convergence in $$H^1$$-Norm for the fractional Laplacian. Zbl 1422.65371
Borthagaray, Juan Pablo; Ciarlet, Patrick jun.
2019
Mesh requirements for the finite element approximation of problems with sign-changing coefficients. Zbl 1384.78009
Bonnet-Ben Dhia, Anne-Sophie; Carvalho, Camille; Ciarlet, Patrick jun.
2018
Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields. Zbl 1193.78029
Ciarlet, Patrick jun.; Scheid, Claire
2010
Numerical analysis of the generalized Maxwell equations (with an elliptic correction) for charged particle simulations. Zbl 1179.78107
Ciarlet, Patrick jun.; Labrunie, Simon
2009
Erratum: Well-posedness of the Drude-Born-Fedorov model for chiral media. Zbl 1154.78300
Ciarlet, Patrick jun.; Legendre, Guillaume
2009
A new approach for approximating linear elasticity problems. Zbl 1134.74049
Ciarlet, Philippe G.; Ciarlet jun., Patrick
2008
Stokes equations with given velocity fluxes and pressure. Zbl 1084.35055
Ciarlet, Patrick jun.
2003
Characterization of the singular part of the solution of steady-state Maxwell’s equations in an axisymmetric domain. Zbl 0931.35168
Assous, Franck; Ciarlet, Patrick jun.; Labrunie, Simon
1999
Some results on regularity in time of the time-dependent Maxwell equations. Zbl 0919.35135
Assous, Franck; Ciarlet, Patrick jun.
1998
Resolution of Maxwell’s equations in a domain with a reentrant corner. Zbl 0855.65131
Assous, Franck; Ciarlet, Patrick jun.; Sonnendrücker, Eric
1996
A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020
Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A.
2018
Eigenvalue problems with sign-changing coefficients. Zbl 1369.65139
Carvalho, Camille; Chesnel, Lucas; Ciarlet, Patrick jun.
2017
Domain decomposition for the neutron $$\mathrm{SP}_N$$ equations. Zbl 1383.82080
Jamelot, E.; Ciarlet, P. jun.; Baudron, A.-M.; Lautard, J.-J.
2014
A Lagrangian approach to intrinsic linearized elasticity. Zbl 1266.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun
2010
A characterization of singular electromagnetic fields by an inductive approach. Zbl 1211.78006
Assous, F.; Ciarlet, P. jun.; Garcia, E.
2008
Multiscaled asymptotic expansions for the electric potential: surface charge densities and electric fields at rounded corners. Zbl 1126.78004
2007
A justification of Peek’s empirical law in electrostatics. Zbl 1119.78006
2006
Repeated red-black ordering: A new approach. Zbl 0805.65032
Ciarlet, P. jun.
1994
On the convergence in $$H^1$$-Norm for the fractional Laplacian. Zbl 1422.65371
Borthagaray, Juan Pablo; Ciarlet, Patrick jun.
2019
Mathematical foundations of computational electromagnetism. Zbl 1452.78001
Assous, Franck; Ciarlet, Patrick; Labrunie, Simon
2018
Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients. Zbl 1417.65187
Ciarlet Jr., Patrick; Vohralík, Martin
2018
Mesh requirements for the finite element approximation of problems with sign-changing coefficients. Zbl 1384.78009
Bonnet-Ben Dhia, Anne-Sophie; Carvalho, Camille; Ciarlet, Patrick jun.
2018
A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020
Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A.
2018
On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell’s equations. Zbl 1379.78020
Ciarlet, Patrick jun.; Fliss, Sonia; Stohrer, Christian
2017
Theory and implementation of $$\mathcal{H}$$-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels. Zbl 1380.65397
Chaillat, Stéphanie; Desiderio, Luca; Ciarlet, Patrick
2017
Domain decomposition methods for the diffusion equation with low-regularity solution. Zbl 1402.65155
Ciarlet, Patrick jun.; Jamelot, E.; Kpadonou, F. D.
2017
Eigenvalue problems with sign-changing coefficients. Zbl 1369.65139
Carvalho, Camille; Chesnel, Lucas; Ciarlet, Patrick jun.
2017
On the use of perfectly matched layers at corners for scattering problems with sign-changing coefficients. Zbl 1351.78035
Bonnet-Ben Dhia, A.-S.; Carvalho, C.; Chesnel, L.; Ciarlet, P.
2016
Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091
Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C.
2016
T-coercivity for the Maxwell problem with sign-changing coefficients. Zbl 1297.35229
Dhia, Anne-Sophie Bonnet-Ben; Chesnel, Lucas; Ciarlet, Patrick jun.
2014
Two-dimensional Maxwell’s equations with sign-changing coefficients. Zbl 1291.78018
Bonnet-Ben Dhia, A.-S.; Chesnel, L.; Ciarlet, P. jun.
2014
Edge element methods for Maxwell’s equations with strong convergence for Gauss’ laws. Zbl 1304.35668
Ciarlet, Patrick jun.; Wu, Haijun; Zou, Jun
2014
Finite-element heterogeneous multiscale method for the Helmholtz equation. Zbl 1301.65120
Ciarlet, Patrick jun.; Stohrer, Christian
2014
Domain decomposition for the neutron $$\mathrm{SP}_N$$ equations. Zbl 1383.82080
Jamelot, E.; Ciarlet, P. jun.; Baudron, A.-M.; Lautard, J.-J.
2014
Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell’s equations on Cartesian grids. Zbl 1291.65278
Chung, Eric T.; Ciarlet, Patrick jun.; Yu, Tang Fei
2013
A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials. Zbl 1260.78007
Chung, Eric T.; Ciarlet, Patrick jun.
2013
$$T$$-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients. Zbl 1271.65137
Chesnel, Lucas; Ciarlet, Patrick jun.
2013
Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 06231555
Ciarlet, P. jun.
2013
Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. Zbl 1349.65428
Jamelot, Erell; Ciarlet, Patrick
2013
$$T$$-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
2012
$$T$$-coercivity: application to the discretization of Helmholtz-like problems. Zbl 1252.35022
Ciarlet, Patrick jun.
2012
Compact imbeddings in electromagnetism with interfaces between classical materials and metamaterials. Zbl 1250.78007
Chesnel, Lucas; Ciarlet, Patrick jun.
2011
Numerical solution of Maxwell’s equations in axisymmetric domains with the Fourier singular complement method. Zbl 1213.78034
Ciarlet, Patrick jun.; Labrunie, Simon
2011
Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun
2011
Time harmonic wave diffraction problems in materials with sign-shifting coefficients. Zbl 1202.78026
Bonnet-Ben Dhia, A. S.; Ciarlet, P. jun.; Zwölf, C. M.
2010
Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. Zbl 1190.49004
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
2010
Weighted regularization for composite materials in electromagnetism. Zbl 1192.78039
Ciarlet, Patrick jun.; Lefèvre, François; Lohrengel, Stéphanie; Nicaise, Serge
2010
Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields. Zbl 1193.78029
Ciarlet, Patrick jun.; Scheid, Claire
2010
A Lagrangian approach to intrinsic linearized elasticity. Zbl 1266.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun
2010
Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements. Zbl 1180.78048
Buffa, Annalisa; Ciarlet, Patrick jun.; Jamelot, Erell
2009
Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
2009
Numerical analysis of the generalized Maxwell equations (with an elliptic correction) for charged particle simulations. Zbl 1179.78107
Ciarlet, Patrick jun.; Labrunie, Simon
2009
Erratum: Well-posedness of the Drude-Born-Fedorov model for chiral media. Zbl 1154.78300
Ciarlet, Patrick jun.; Legendre, Guillaume
2009
Computing electromagnetic eigenmodes with continuous Galerkin approximations. Zbl 1194.78053
Ciarlet, Patrick jun.; Hechme, Grace
2008
A new compactness result for electromagnetic waves. Application to the transmission problem between dielectrics and metamaterials. Zbl 1173.35119
Bonnet-Ben Dhia, A.-S.; Ciarlet, P. jun.; Zwölf, C. M.
2008
A new approach for approximating linear elasticity problems. Zbl 1134.74049
Ciarlet, Philippe G.; Ciarlet jun., Patrick
2008
A characterization of singular electromagnetic fields by an inductive approach. Zbl 1211.78006
Assous, F.; Ciarlet, P. jun.; Garcia, E.
2008
Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants. Zbl 1136.78003
Bonnet-Ben Dhia, A. S.; Ciarlet, P. jun.; Zwölf, C. M.
2007
Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki
2007
Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
2007
Generalized formulations of Maxwell’s equations for numerical Vlasov-Maxwell simulations. Zbl 1134.35103
Barthelmé, Régine; Ciarlet, Patrick jun.; Sonnendrücker, Eric
2007
Well-posedness of the Drude-Born-Fedorov model for chiral media. Zbl 1126.78002
Ciarlet, Patrick jun.; Legendre, Guillaume
2007
Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries. Zbl 1128.78002
Ciarlet, Patrick jun.; Jamelot, Erell
2007
Multiscaled asymptotic expansions for the electric potential: surface charge densities and electric fields at rounded corners. Zbl 1126.78004
2007
Time-dependent Maxwell’s equations with charges in singular geometries. Zbl 1121.78305
Assous, F.; Ciarlet, P. jun.; Garcia, E.; Segré, J.
2006
The Fourier singular complement method for the Poisson problem. II: Axisymmetric domains. Zbl 1088.65103
Ciarlet, P. jun.; Jung, B.; Kaddouri, S.; Labrunie, S.; Zou, J.
2006
Continuous Galerkin methods for solving Maxwell equations in 3D geometries. Zbl 1128.78011
Ciarlet, Patrick jun.; Jamelot, Erell
2006
A justification of Peek’s empirical law in electrostatics. Zbl 1119.78006
2006
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
2005
Augmented formulations for solving Maxwell equations. Zbl 1063.78018
Ciarlet, Patrick jun.
2005
The Fourier singular complement method for the Poisson problem. I: Prismatic domains. Zbl 1084.65123
Ciarlet, P. jun.; Jung, B.; Kaddouri, S.; Labrunie, S.; Zou, J.
2005
Singular electromagnetic fields: inductive approach. Zbl 1081.35111
Assous, Franck; Ciarlet, Patrick jun.; Garcia, Emmanuelle
2005
Another approach to linearized elasticity and Korn’s inequality. Zbl 1063.74009
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
2004
Solving Maxwell equations in 3D prismatic domains. Zbl 1068.78001
Ciarlet, Patrick; Garcia, Emmanuelle; Zou, Jun
2004
Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The singular complement method. Zbl 1033.65086
Assous, F.; Ciarlet, P. jun.; Labrunie, S.; Segré, J.
2003
The singular complement method for 2d scalar problems. Zbl 1028.65118
Ciarlet, Patrick jun.; He, Jiwen
2003
Some observations on generalized saddle-point problems. Zbl 1130.35300
Ciarlet, P. jun.; Huang, Jianguo; Zou, Jun
2003
Solution of axisymmetric Maxwell equations. Zbl 1100.78007
Assous, Franck; Ciarlet, Patrick jun.; Labrunie, Simon
2003
Stokes equations with given velocity fluxes and pressure. Zbl 1084.35055
Ciarlet, Patrick jun.
2003
Theoretical tools to solve the axisymmetric Maxwell equations. Zbl 0995.35070
Assous, F.; Ciarlet, P. jun.; Labrunie, S.
2002
Inf-sup condition for the 3-D $$P_2$$-iso-$$P_1$$ Taylor-Hood finite element; application to Maxwell equations. Zbl 1021.78009
Ciarlet, Patrick jun.; Girault, Vivette
2002
The singular complement method. Zbl 1026.65094
Assous, F.; Ciarlet, P. jun; Labrunie, S.; Lohrengel, S.
2002
On traces for functional spaces related to Maxwell’s equations. I: An integration by parts formula in Lipschitz polyhedra. Zbl 0998.46012
Buffa, A.; Ciarlet, P. jun.
2001
On traces for functional spaces related to Maxwell’s equations. II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications. Zbl 0976.46023
Buffa, A.; Ciarlet, P. jun.
2001
Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method. Zbl 1007.78014
Assous, F.; Ciarlet, P. jun.; Segré, J.
2000
The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain. Zbl 1007.78015
Assous, Franck; Ciarlet, Patrick jun.; Garcia, Emmanuelle
2000
A result of closedness for Maxwell’s equations in an axisymmetric domain. Zbl 0961.35159
Ciarlet, Patrick jun.; Filonov, Nikolaï; Labrunie, Simon
2000
Fully discrete finite element approaches for time-dependent Maxwell’s equations. Zbl 1126.78310
Ciarlet, P. jun.; Zou, Jun
1999
Characterization of the singular part of the solution of Maxwell’s equations in a polyhedral domain. Zbl 0931.35169
Assous, F.; Ciarlet, Patrick jun.; Raviart, P.-A.; Sonnendrücker, E.
1999
Characterization of the singular part of the solution of steady-state Maxwell’s equations in an axisymmetric domain. Zbl 0931.35168
Assous, Franck; Ciarlet, Patrick jun.; Labrunie, Simon
1999
Resolution of the Maxwell equations in a domain with reentrant corners. Zbl 0924.65111
Assous, F.; Ciarlet, P. jun.; Sonnendrücker, E.
1998
Maxwell’s equations in a polyhedron: A density result. Zbl 0915.35099
Ciarlet, Patrick jun.; Hazard, Christophe; Lohrengel, Stephanie
1998
Some results on regularity in time of the time-dependent Maxwell equations. Zbl 0919.35135
Assous, Franck; Ciarlet, Patrick jun.
1998
Finite element convergence for the Darwin model to Maxwell’s equations. Zbl 0887.65121
Ciarlet, P. jun.; Zou, Jun
1997
A characterization of the orthogonal of $$\Delta(H^2(\Omega)\cap H_0^1(\Omega))$$ in $$L^2(\Omega)$$. Zbl 0892.35043
Assous, Franck; Ciarlet, Patrick jun.
1997
A decomposition of the electromagnetic field – application to the Darwin model. Zbl 0890.65128
Ciarlet, P. jun.; Sonnenbrücker, E.
1997
On the optimality of the median cut spectral bisection graph partitioning method. Zbl 0872.65056
Chan, Tony F.; Ciarlet, P. jun.; Szeto, W. K.
1997
On the validity of a front-oriented approach to partitioning large sparse graphs with a connectivity constraint. Zbl 0861.90119
Ciarlet, P. jun.; Lamour, F.
1996
Resolution of Maxwell’s equations in a domain with a reentrant corner. Zbl 0855.65131
Assous, Franck; Ciarlet, Patrick jun.; Sonnendrücker, Eric
1996
Repeated red-black ordering: A new approach. Zbl 0805.65032
Ciarlet, P. jun.
1994
all top 5

#### Cited by 753 Authors

 57 Ciarlet, Patrick jun. 40 Ciarlet, Philippe Gaston 36 Li, Jichun 18 Chung, Tsz Shun Eric 17 Huang, Yunqing 15 Mardare, Cristinel 13 Assous, Franck 13 Buffa, Annalisa 13 Nicaise, Serge 13 Zou, Jun 12 Chesnel, Lucas 12 Hiptmair, Ralf 11 Gratie, Liliana 10 Geymonat, Giuseppe 10 Kang, Tong 9 Amrouche, Chérif 9 Bonnet-Ben Dhia, Anne-Sophie 9 Brenner, Susanne Cecelia 9 Costabel, Martin 8 Claeys, Xavier 8 Duan, Huoyuan 8 Krasucki, Françoise 8 Labrunie, Simon 8 Nguyen, Hoai-Minh 8 Rukavishnikov, Viktor Anatol’evich 8 Yang, Wei 7 Kim, Kwang Ik 7 Li, Fengyan 7 Ma, Changfeng 7 Vohralík, Martin 6 Gopalakrishnan, Jayadeep 6 Slodička, Marián 6 Sonnendrücker, Eric 6 Yousept, Irwin 6 Zhao, Lina 5 Codina, Ramon 5 Dauge, Monique 5 Demkowicz, Leszek F. 5 Després, Bruno 5 Jamelot, Erell 5 Kim, Hyea Hyun 5 Lohrengel, Stephanie 5 Nguyen, Dinh Liem 5 Park, Eun-Jae 5 Sauter, Stefan A. 5 Sung, Li-Yeng 5 Tan, Roger C. E. 5 Verfürth, Barbara 4 Barucq, Hélène 4 Bespalov, Alexei 4 Cheng, Yingda 4 Christiansen, Snorre Harald 4 Duduchava, Roland 4 Dumbser, Michael 4 Gedicke, Joscha 4 Girault, Vivette 4 Iosifescu, Oana 4 Kaddouri, Samir 4 Kesavan, Srinivasan 4 Lancia, Maria Rosaria 4 Leydecker, Florian 4 Meddahi, Salim 4 Nkemzi, Boniface 4 Nochetto, Ricardo Horacio 4 Perugia, Ilaria 4 Ruiz-Baier, Ricardo 4 Segré, Jacques 4 Shen, Ming 4 Shu, Shi 4 Stamm, Benjamin 4 Stephan, Ernst Peter 4 Vernole, Paola Gioia 4 Yang, Yidu 4 Yao, Changhui 3 Ainsworth, Mark 3 Badia, Santiago 3 Beilina, Larisa 3 Bi, Hai 3 Bokil, Vrushali A. 3 Cakoni, Fioralba 3 Campos Pinto, Martin 3 Carvalho, Camille 3 Chaillat, Stéphanie 3 Cheung, Siu Wun 3 Collino, Francis 3 Darrigrand, Eric 3 Desiderio, Luca 3 Durand, Stéphane 3 Ern, Alexandre 3 Falletta, Silvia 3 Garcia, Emmanuelle 3 Gatica, Gabriel N. 3 Glusa, Christian 3 Guermond, Jean-Luc 3 Haddar, Houssem 3 Henning, Patrick 3 Heuer, Norbert 3 Hoppe, Ronald H. W. 3 Hu, Qiya 3 Joly, Patrick ...and 653 more Authors
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#### Cited in 121 Serials

 36 Comptes Rendus. Mathématique. Académie des Sciences, Paris 34 Computers & Mathematics with Applications 33 Journal of Computational and Applied Mathematics 31 Mathematics of Computation 30 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 29 Journal of Computational Physics 28 Numerische Mathematik 27 Mathematical Methods in the Applied Sciences 26 Computer Methods in Applied Mechanics and Engineering 23 Journal of Scientific Computing 20 SIAM Journal on Numerical Analysis 18 Applied Mathematics and Computation 17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 Journal of Mathematical Analysis and Applications 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Applied Numerical Mathematics 7 SIAM Journal on Scientific Computing 5 Numerical Methods for Partial Differential Equations 5 SIAM Journal on Mathematical Analysis 5 Abstract and Applied Analysis 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 BIT 4 Journal of Differential Equations 4 Computational Mechanics 4 Journal of Elasticity 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Computational Methods in Applied Mathematics 4 Analysis and Applications (Singapore) 3 Journal d’Analyse Mathématique 3 Calcolo 3 International Journal for Numerical Methods in Engineering 3 Journal of Functional Analysis 3 Mathematics and Computers in Simulation 3 Chinese Annals of Mathematics. Series B 3 Mathematical and Computer Modelling 3 Communications in Partial Differential Equations 3 Linear Algebra and its Applications 3 Calculus of Variations and Partial Differential Equations 3 Journal of Numerical Mathematics 3 Multiscale Modeling & Simulation 3 Discrete and Continuous Dynamical Systems. Series S 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Computing 2 Integral Equations and Operator Theory 2 Journal of Optimization Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Journal of Integral Equations and Applications 2 Applications of Mathematics 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 SIAM Journal on Applied Mathematics 2 Numerical Linear Algebra with Applications 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Inverse Problems and Imaging 2 SMAI Journal of Computational Mathematics 2 SN Partial Differential Equations and Applications 1 Acta Mechanica 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Inverse Problems 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Physics Letters. A 1 Acta Mathematica Vietnamica 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Computers & Operations Research 1 COMPEL 1 Neural Networks 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Archive of Applied Mechanics 1 Journal of Nonlinear Science 1 Potential Analysis 1 Computational Optimization and Applications 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Georgian Mathematical Journal 1 ETNA. Electronic Transactions on Numerical Analysis 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 Journal of Combinatorial Optimization 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Journal of Mathematical Fluid Mechanics 1 Differential Equations ...and 21 more Serials
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#### Cited in 37 Fields

 353 Numerical analysis (65-XX) 340 Partial differential equations (35-XX) 281 Optics, electromagnetic theory (78-XX) 93 Mechanics of deformable solids (74-XX) 65 Fluid mechanics (76-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 23 Operator theory (47-XX) 20 Functional analysis (46-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Differential geometry (53-XX) 14 Integral equations (45-XX) 9 Potential theory (31-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Relativity and gravitational theory (83-XX) 6 Operations research, mathematical programming (90-XX) 5 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)