Edit Profile Ciarlet, Patrick jun. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0998.46012Buffa, A.; Ciarlet, P. jun. 93 2001 Fully discrete finite element approaches for time-dependent Maxwell’s equations. Zbl 1126.78310Ciarlet, P. jun.; Zou, Jun 68 1999 On traces for functional spaces related to Maxwell’s equations. II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications. Zbl 0976.46023Buffa, A.; Ciarlet, P. jun. 64 2001 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun. 62 2005 \(T\)-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun. 44 2012 Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method. Zbl 1007.78014Assous, F.; Ciarlet, P. jun.; Segré, J. 39 2000 Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell’s equations on Cartesian grids. Zbl 1291.65278Chung, Eric T.; Ciarlet, Patrick jun.; Yu, Tang Fei 33 2013 Augmented formulations for solving Maxwell equations. Zbl 1063.78018Ciarlet, Patrick jun. 31 2005 Resolution of the Maxwell equations in a domain with reentrant corners. Zbl 0924.65111Assous, F.; Ciarlet, P. jun.; Sonnendrücker, E. 31 1998 Time harmonic wave diffraction problems in materials with sign-shifting coefficients. Zbl 1202.78026Bonnet-Ben Dhia, A. S.; Ciarlet, P. jun.; Zwölf, C. M. 26 2010 A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials. Zbl 1260.78007Chung, Eric T.; Ciarlet, Patrick jun. 25 2013 Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements. Zbl 1180.78048Buffa, Annalisa; Ciarlet, Patrick jun.; Jamelot, Erell 23 2009 Theoretical tools to solve the axisymmetric Maxwell equations. Zbl 0995.35070Assous, F.; Ciarlet, P. jun.; Labrunie, S. 20 2002 Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The singular complement method. Zbl 1033.65086Assous, F.; Ciarlet, P. jun.; Labrunie, S.; Segré, J. 19 2003 T-coercivity for the Maxwell problem with sign-changing coefficients. Zbl 1297.35229Dhia, Anne-Sophie Bonnet-Ben; Chesnel, Lucas; Ciarlet, Patrick jun. 16 2014 \(T\)-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients. Zbl 1271.65137Chesnel, Lucas; Ciarlet, Patrick jun. 16 2013 The singular complement method for 2d scalar problems. Zbl 1028.65118Ciarlet, Patrick jun.; He, Jiwen 16 2003 Finite element convergence for the Darwin model to Maxwell’s equations. Zbl 0887.65121Ciarlet, P. jun.; Zou, Jun 16 1997 Time-dependent Maxwell’s equations with charges in singular geometries. Zbl 1121.78305Assous, F.; Ciarlet, P. jun.; Garcia, E.; Segré, J. 15 2006 Characterization of the singular part of the solution of Maxwell’s equations in a polyhedral domain. Zbl 0931.35169Assous, F.; Ciarlet, Patrick jun.; Raviart, P.-A.; Sonnendrücker, E. 15 1999 Two-dimensional Maxwell’s equations with sign-changing coefficients. Zbl 1291.78018Bonnet-Ben Dhia, A.-S.; Chesnel, L.; Ciarlet, P. jun. 14 2014 The Fourier singular complement method for the Poisson problem. I: Prismatic domains. Zbl 1084.65123Ciarlet, P. jun.; Jung, B.; Kaddouri, S.; Labrunie, S.; Zou, J. 14 2005 Some observations on generalized saddle-point problems. Zbl 1130.35300Ciarlet, P. jun.; Huang, Jianguo; Zou, Jun 14 2003 Inf-sup condition for the 3-D \(P_2\)-iso-\(P_1\) Taylor-Hood finite element; application to Maxwell equations. Zbl 1021.78009Ciarlet, Patrick jun.; Girault, Vivette 14 2002 Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035Ciarlet, Philippe G.; Ciarlet, Patrick jun. 13 2009 Computing electromagnetic eigenmodes with continuous Galerkin approximations. Zbl 1194.78053Ciarlet, Patrick jun.; Hechme, Grace 12 2008 Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants. Zbl 1136.78003Bonnet-Ben Dhia, A. S.; Ciarlet, P. jun.; Zwölf, C. M. 12 2007 The Fourier singular complement method for the Poisson problem. II: Axisymmetric domains. Zbl 1088.65103Ciarlet, P. jun.; Jung, B.; Kaddouri, S.; Labrunie, S.; Zou, J. 12 2006 On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell’s equations. Zbl 1379.78020Ciarlet, Patrick jun.; Fliss, Sonia; Stohrer, Christian 11 2017 On the use of perfectly matched layers at corners for scattering problems with sign-changing coefficients. Zbl 1351.78035Bonnet-Ben Dhia, A.-S.; Carvalho, C.; Chesnel, L.; Ciarlet, P. 11 2016 Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. Zbl 1190.49004Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 11 2010 A new compactness result for electromagnetic waves. Application to the transmission problem between dielectrics and metamaterials. Zbl 1173.35119Bonnet-Ben Dhia, A.-S.; Ciarlet, P. jun.; Zwölf, C. M. 11 2008 Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki 11 2007 \(T\)-coercivity: application to the discretization of Helmholtz-like problems. Zbl 1252.35022Ciarlet, Patrick jun. 10 2012 Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 06231555Ciarlet, P. jun. 9 2013 Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 9 2007 Mathematical foundations of computational electromagnetism. Zbl 1452.78001Assous, Franck; Ciarlet, Patrick; Labrunie, Simon 8 2018 Edge element methods for Maxwell’s equations with strong convergence for Gauss’ laws. Zbl 1304.35668Ciarlet, Patrick jun.; Wu, Haijun; Zou, Jun 8 2014 Generalized formulations of Maxwell’s equations for numerical Vlasov-Maxwell simulations. Zbl 1134.35103Barthelmé, Régine; Ciarlet, Patrick jun.; Sonnendrücker, Eric 8 2007 Well-posedness of the Drude-Born-Fedorov model for chiral media. Zbl 1126.78002Ciarlet, Patrick jun.; Legendre, Guillaume 8 2007 Another approach to linearized elasticity and Korn’s inequality. Zbl 1063.74009Ciarlet, Philippe G.; Ciarlet, Patrick jun. 8 2004 Compact imbeddings in electromagnetism with interfaces between classical materials and metamaterials. Zbl 1250.78007Chesnel, Lucas; Ciarlet, Patrick jun. 7 2011 Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries. Zbl 1128.78002Ciarlet, Patrick jun.; Jamelot, Erell 7 2007 Solution of axisymmetric Maxwell equations. Zbl 1100.78007Assous, Franck; Ciarlet, Patrick jun.; Labrunie, Simon 7 2003 Theory and implementation of \(\mathcal{H}\)-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels. Zbl 1380.65397Chaillat, Stéphanie; Desiderio, Luca; Ciarlet, Patrick 6 2017 Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. Zbl 1349.65428Jamelot, Erell; Ciarlet, Patrick 6 2013 Weighted regularization for composite materials in electromagnetism. Zbl 1192.78039Ciarlet, Patrick jun.; Lefèvre, François; Lohrengel, Stéphanie; Nicaise, Serge 6 2010 The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain. Zbl 1007.78015Assous, Franck; Ciarlet, Patrick jun.; Garcia, Emmanuelle 6 2000 Maxwell’s equations in a polyhedron: A density result. Zbl 0915.35099Ciarlet, Patrick jun.; Hazard, Christophe; Lohrengel, Stephanie 6 1998 Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients. Zbl 1417.65187Ciarlet Jr., Patrick; Vohralík, Martin 5 2018 Domain decomposition methods for the diffusion equation with low-regularity solution. Zbl 1402.65155Ciarlet, Patrick jun.; Jamelot, E.; Kpadonou, F. D. 5 2017 Numerical solution of Maxwell’s equations in axisymmetric domains with the Fourier singular complement method. Zbl 1213.78034Ciarlet, Patrick jun.; Labrunie, Simon 5 2011 On the validity of a front-oriented approach to partitioning large sparse graphs with a connectivity constraint. Zbl 0861.90119Ciarlet, P. jun.; Lamour, F. 5 1996 Finite-element heterogeneous multiscale method for the Helmholtz equation. Zbl 1301.65120Ciarlet, Patrick jun.; Stohrer, Christian 4 2014 Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 4 2011 Singular electromagnetic fields: inductive approach. Zbl 1081.35111Assous, Franck; Ciarlet, Patrick jun.; Garcia, Emmanuelle 4 2005 The singular complement method. Zbl 1026.65094Assous, F.; Ciarlet, P. jun; Labrunie, S.; Lohrengel, S. 4 2002 A characterization of the orthogonal of \(\Delta(H^2(\Omega)\cap H_0^1(\Omega))\) in \(L^2(\Omega)\). Zbl 0892.35043Assous, Franck; Ciarlet, Patrick jun. 4 1997 A decomposition of the electromagnetic field – application to the Darwin model. Zbl 0890.65128Ciarlet, P. jun.; Sonnenbrücker, E. 4 1997 On the optimality of the median cut spectral bisection graph partitioning method. Zbl 0872.65056Chan, Tony F.; Ciarlet, P. jun.; Szeto, W. K. 4 1997 Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C. 3 2016 Continuous Galerkin methods for solving Maxwell equations in 3D geometries. Zbl 1128.78011Ciarlet, Patrick jun.; Jamelot, Erell 3 2006 Solving Maxwell equations in 3D prismatic domains. Zbl 1068.78001Ciarlet, Patrick; Garcia, Emmanuelle; Zou, Jun 3 2004 A result of closedness for Maxwell’s equations in an axisymmetric domain. Zbl 0961.35159Ciarlet, Patrick jun.; Filonov, Nikolaï; Labrunie, Simon 3 2000 On the convergence in \(H^1\)-Norm for the fractional Laplacian. Zbl 1422.65371Borthagaray, Juan Pablo; Ciarlet, Patrick jun. 2 2019 Mesh requirements for the finite element approximation of problems with sign-changing coefficients. Zbl 1384.78009Bonnet-Ben Dhia, Anne-Sophie; Carvalho, Camille; Ciarlet, Patrick jun. 2 2018 Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields. Zbl 1193.78029Ciarlet, Patrick jun.; Scheid, Claire 2 2010 Numerical analysis of the generalized Maxwell equations (with an elliptic correction) for charged particle simulations. Zbl 1179.78107Ciarlet, Patrick jun.; Labrunie, Simon 2 2009 Erratum: Well-posedness of the Drude-Born-Fedorov model for chiral media. Zbl 1154.78300Ciarlet, Patrick jun.; Legendre, Guillaume 2 2009 A new approach for approximating linear elasticity problems. Zbl 1134.74049Ciarlet, Philippe G.; Ciarlet jun., Patrick 2 2008 Stokes equations with given velocity fluxes and pressure. Zbl 1084.35055Ciarlet, Patrick jun. 2 2003 Characterization of the singular part of the solution of steady-state Maxwell’s equations in an axisymmetric domain. Zbl 0931.35168Assous, Franck; Ciarlet, Patrick jun.; Labrunie, Simon 2 1999 Some results on regularity in time of the time-dependent Maxwell equations. Zbl 0919.35135Assous, Franck; Ciarlet, Patrick jun. 2 1998 Resolution of Maxwell’s equations in a domain with a reentrant corner. Zbl 0855.65131Assous, Franck; Ciarlet, Patrick jun.; Sonnendrücker, Eric 2 1996 A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A. 1 2018 Eigenvalue problems with sign-changing coefficients. Zbl 1369.65139Carvalho, Camille; Chesnel, Lucas; Ciarlet, Patrick jun. 1 2017 Domain decomposition for the neutron \(\mathrm{SP}_N\) equations. Zbl 1383.82080Jamelot, E.; Ciarlet, P. jun.; Baudron, A.-M.; Lautard, J.-J. 1 2014 A Lagrangian approach to intrinsic linearized elasticity. Zbl 1266.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 1 2010 A characterization of singular electromagnetic fields by an inductive approach. Zbl 1211.78006Assous, F.; Ciarlet, P. jun.; Garcia, E. 1 2008 Multiscaled asymptotic expansions for the electric potential: surface charge densities and electric fields at rounded corners. Zbl 1126.78004Ciarlet, Patrick jun.; Kaddouri, Samir 1 2007 A justification of Peek’s empirical law in electrostatics. Zbl 1119.78006Ciarlet, Patrick jun.; Kaddouri, Samir 1 2006 Repeated red-black ordering: A new approach. Zbl 0805.65032Ciarlet, P. jun. 1 1994 On the convergence in \(H^1\)-Norm for the fractional Laplacian. Zbl 1422.65371Borthagaray, Juan Pablo; Ciarlet, Patrick jun. 2 2019 Mathematical foundations of computational electromagnetism. Zbl 1452.78001Assous, Franck; Ciarlet, Patrick; Labrunie, Simon 8 2018 Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients. Zbl 1417.65187Ciarlet Jr., Patrick; Vohralík, Martin 5 2018 Mesh requirements for the finite element approximation of problems with sign-changing coefficients. Zbl 1384.78009Bonnet-Ben Dhia, Anne-Sophie; Carvalho, Camille; Ciarlet, Patrick jun. 2 2018 A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A. 1 2018 On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell’s equations. Zbl 1379.78020Ciarlet, Patrick jun.; Fliss, Sonia; Stohrer, Christian 11 2017 Theory and implementation of \(\mathcal{H}\)-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels. Zbl 1380.65397Chaillat, Stéphanie; Desiderio, Luca; Ciarlet, Patrick 6 2017 Domain decomposition methods for the diffusion equation with low-regularity solution. Zbl 1402.65155Ciarlet, Patrick jun.; Jamelot, E.; Kpadonou, F. D. 5 2017 Eigenvalue problems with sign-changing coefficients. Zbl 1369.65139Carvalho, Camille; Chesnel, Lucas; Ciarlet, Patrick jun. 1 2017 On the use of perfectly matched layers at corners for scattering problems with sign-changing coefficients. Zbl 1351.78035Bonnet-Ben Dhia, A.-S.; Carvalho, C.; Chesnel, L.; Ciarlet, P. 11 2016 Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C. 3 2016 T-coercivity for the Maxwell problem with sign-changing coefficients. Zbl 1297.35229Dhia, Anne-Sophie Bonnet-Ben; Chesnel, Lucas; Ciarlet, Patrick jun. 16 2014 Two-dimensional Maxwell’s equations with sign-changing coefficients. Zbl 1291.78018Bonnet-Ben Dhia, A.-S.; Chesnel, L.; Ciarlet, P. jun. 14 2014 Edge element methods for Maxwell’s equations with strong convergence for Gauss’ laws. Zbl 1304.35668Ciarlet, Patrick jun.; Wu, Haijun; Zou, Jun 8 2014 Finite-element heterogeneous multiscale method for the Helmholtz equation. Zbl 1301.65120Ciarlet, Patrick jun.; Stohrer, Christian 4 2014 Domain decomposition for the neutron \(\mathrm{SP}_N\) equations. Zbl 1383.82080Jamelot, E.; Ciarlet, P. jun.; Baudron, A.-M.; Lautard, J.-J. 1 2014 Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell’s equations on Cartesian grids. Zbl 1291.65278Chung, Eric T.; Ciarlet, Patrick jun.; Yu, Tang Fei 33 2013 A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials. Zbl 1260.78007Chung, Eric T.; Ciarlet, Patrick jun. 25 2013 \(T\)-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients. Zbl 1271.65137Chesnel, Lucas; Ciarlet, Patrick jun. 16 2013 Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 06231555Ciarlet, P. jun. 9 2013 Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. Zbl 1349.65428Jamelot, Erell; Ciarlet, Patrick 6 2013 \(T\)-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun. 44 2012 \(T\)-coercivity: application to the discretization of Helmholtz-like problems. Zbl 1252.35022Ciarlet, Patrick jun. 10 2012 Compact imbeddings in electromagnetism with interfaces between classical materials and metamaterials. Zbl 1250.78007Chesnel, Lucas; Ciarlet, Patrick jun. 7 2011 Numerical solution of Maxwell’s equations in axisymmetric domains with the Fourier singular complement method. Zbl 1213.78034Ciarlet, Patrick jun.; Labrunie, Simon 5 2011 Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 4 2011 Time harmonic wave diffraction problems in materials with sign-shifting coefficients. Zbl 1202.78026Bonnet-Ben Dhia, A. S.; Ciarlet, P. jun.; Zwölf, C. M. 26 2010 Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. Zbl 1190.49004Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 11 2010 Weighted regularization for composite materials in electromagnetism. Zbl 1192.78039Ciarlet, Patrick jun.; Lefèvre, François; Lohrengel, Stéphanie; Nicaise, Serge 6 2010 Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields. Zbl 1193.78029Ciarlet, Patrick jun.; Scheid, Claire 2 2010 A Lagrangian approach to intrinsic linearized elasticity. Zbl 1266.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 1 2010 Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements. Zbl 1180.78048Buffa, Annalisa; Ciarlet, Patrick jun.; Jamelot, Erell 23 2009 Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035Ciarlet, Philippe G.; Ciarlet, Patrick jun. 13 2009 Numerical analysis of the generalized Maxwell equations (with an elliptic correction) for charged particle simulations. Zbl 1179.78107Ciarlet, Patrick jun.; Labrunie, Simon 2 2009 Erratum: Well-posedness of the Drude-Born-Fedorov model for chiral media. Zbl 1154.78300Ciarlet, Patrick jun.; Legendre, Guillaume 2 2009 Computing electromagnetic eigenmodes with continuous Galerkin approximations. Zbl 1194.78053Ciarlet, Patrick jun.; Hechme, Grace 12 2008 A new compactness result for electromagnetic waves. Application to the transmission problem between dielectrics and metamaterials. Zbl 1173.35119Bonnet-Ben Dhia, A.-S.; Ciarlet, P. jun.; Zwölf, C. M. 11 2008 A new approach for approximating linear elasticity problems. Zbl 1134.74049Ciarlet, Philippe G.; Ciarlet jun., Patrick 2 2008 A characterization of singular electromagnetic fields by an inductive approach. Zbl 1211.78006Assous, F.; Ciarlet, P. jun.; Garcia, E. 1 2008 Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants. Zbl 1136.78003Bonnet-Ben Dhia, A. S.; Ciarlet, P. jun.; Zwölf, C. M. 12 2007 Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki 11 2007 Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 9 2007 Generalized formulations of Maxwell’s equations for numerical Vlasov-Maxwell simulations. Zbl 1134.35103Barthelmé, Régine; Ciarlet, Patrick jun.; Sonnendrücker, Eric 8 2007 Well-posedness of the Drude-Born-Fedorov model for chiral media. Zbl 1126.78002Ciarlet, Patrick jun.; Legendre, Guillaume 8 2007 Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries. Zbl 1128.78002Ciarlet, Patrick jun.; Jamelot, Erell 7 2007 Multiscaled asymptotic expansions for the electric potential: surface charge densities and electric fields at rounded corners. Zbl 1126.78004Ciarlet, Patrick jun.; Kaddouri, Samir 1 2007 Time-dependent Maxwell’s equations with charges in singular geometries. Zbl 1121.78305Assous, F.; Ciarlet, P. jun.; Garcia, E.; Segré, J. 15 2006 The Fourier singular complement method for the Poisson problem. II: Axisymmetric domains. Zbl 1088.65103Ciarlet, P. jun.; Jung, B.; Kaddouri, S.; Labrunie, S.; Zou, J. 12 2006 Continuous Galerkin methods for solving Maxwell equations in 3D geometries. Zbl 1128.78011Ciarlet, Patrick jun.; Jamelot, Erell 3 2006 A justification of Peek’s empirical law in electrostatics. Zbl 1119.78006Ciarlet, Patrick jun.; Kaddouri, Samir 1 2006 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun. 62 2005 Augmented formulations for solving Maxwell equations. Zbl 1063.78018Ciarlet, Patrick jun. 31 2005 The Fourier singular complement method for the Poisson problem. I: Prismatic domains. Zbl 1084.65123Ciarlet, P. jun.; Jung, B.; Kaddouri, S.; Labrunie, S.; Zou, J. 14 2005 Singular electromagnetic fields: inductive approach. Zbl 1081.35111Assous, Franck; Ciarlet, Patrick jun.; Garcia, Emmanuelle 4 2005 Another approach to linearized elasticity and Korn’s inequality. Zbl 1063.74009Ciarlet, Philippe G.; Ciarlet, Patrick jun. 8 2004 Solving Maxwell equations in 3D prismatic domains. Zbl 1068.78001Ciarlet, Patrick; Garcia, Emmanuelle; Zou, Jun 3 2004 Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The singular complement method. Zbl 1033.65086Assous, F.; Ciarlet, P. jun.; Labrunie, S.; Segré, J. 19 2003 The singular complement method for 2d scalar problems. Zbl 1028.65118Ciarlet, Patrick jun.; He, Jiwen 16 2003 Some observations on generalized saddle-point problems. Zbl 1130.35300Ciarlet, P. jun.; Huang, Jianguo; Zou, Jun 14 2003 Solution of axisymmetric Maxwell equations. Zbl 1100.78007Assous, Franck; Ciarlet, Patrick jun.; Labrunie, Simon 7 2003 Stokes equations with given velocity fluxes and pressure. Zbl 1084.35055Ciarlet, Patrick jun. 2 2003 Theoretical tools to solve the axisymmetric Maxwell equations. Zbl 0995.35070Assous, F.; Ciarlet, P. jun.; Labrunie, S. 20 2002 Inf-sup condition for the 3-D \(P_2\)-iso-\(P_1\) Taylor-Hood finite element; application to Maxwell equations. Zbl 1021.78009Ciarlet, Patrick jun.; Girault, Vivette 14 2002 The singular complement method. Zbl 1026.65094Assous, F.; Ciarlet, P. jun; Labrunie, S.; Lohrengel, S. 4 2002 On traces for functional spaces related to Maxwell’s equations. I: An integration by parts formula in Lipschitz polyhedra. Zbl 0998.46012Buffa, A.; Ciarlet, P. jun. 93 2001 On traces for functional spaces related to Maxwell’s equations. II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications. Zbl 0976.46023Buffa, A.; Ciarlet, P. jun. 64 2001 Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method. Zbl 1007.78014Assous, F.; Ciarlet, P. jun.; Segré, J. 39 2000 The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain. Zbl 1007.78015Assous, Franck; Ciarlet, Patrick jun.; Garcia, Emmanuelle 6 2000 A result of closedness for Maxwell’s equations in an axisymmetric domain. Zbl 0961.35159Ciarlet, Patrick jun.; Filonov, Nikolaï; Labrunie, Simon 3 2000 Fully discrete finite element approaches for time-dependent Maxwell’s equations. Zbl 1126.78310Ciarlet, P. jun.; Zou, Jun 68 1999 Characterization of the singular part of the solution of Maxwell’s equations in a polyhedral domain. Zbl 0931.35169Assous, F.; Ciarlet, Patrick jun.; Raviart, P.-A.; Sonnendrücker, E. 15 1999 Characterization of the singular part of the solution of steady-state Maxwell’s equations in an axisymmetric domain. Zbl 0931.35168Assous, Franck; Ciarlet, Patrick jun.; Labrunie, Simon 2 1999 Resolution of the Maxwell equations in a domain with reentrant corners. Zbl 0924.65111Assous, F.; Ciarlet, P. jun.; Sonnendrücker, E. 31 1998 Maxwell’s equations in a polyhedron: A density result. Zbl 0915.35099Ciarlet, Patrick jun.; Hazard, Christophe; Lohrengel, Stephanie 6 1998 Some results on regularity in time of the time-dependent Maxwell equations. Zbl 0919.35135Assous, Franck; Ciarlet, Patrick jun. 2 1998 Finite element convergence for the Darwin model to Maxwell’s equations. Zbl 0887.65121Ciarlet, P. jun.; Zou, Jun 16 1997 A characterization of the orthogonal of \(\Delta(H^2(\Omega)\cap H_0^1(\Omega))\) in \(L^2(\Omega)\). Zbl 0892.35043Assous, Franck; Ciarlet, Patrick jun. 4 1997 A decomposition of the electromagnetic field – application to the Darwin model. Zbl 0890.65128Ciarlet, P. jun.; Sonnenbrücker, E. 4 1997 On the optimality of the median cut spectral bisection graph partitioning method. Zbl 0872.65056Chan, Tony F.; Ciarlet, P. jun.; Szeto, W. K. 4 1997 On the validity of a front-oriented approach to partitioning large sparse graphs with a connectivity constraint. Zbl 0861.90119Ciarlet, P. jun.; Lamour, F. 5 1996 Resolution of Maxwell’s equations in a domain with a reentrant corner. Zbl 0855.65131Assous, Franck; Ciarlet, Patrick jun.; Sonnendrücker, Eric 2 1996 Repeated red-black ordering: A new approach. Zbl 0805.65032Ciarlet, P. jun. 1 1994 all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year