Patrick Ciarlet Jr.

Publication Activity (10 Years)

Years Active: 1994-2024
Publications (10 Years): 11

Top Topics

Tikhonov Regularization

Electromagnetic Fields

Complex Real World Problems

Top Venues

Comput. Math. Appl.

SIAM J. Numer. Anal.

SIAM J. Math. Anal.

Publications

Patrick Ciarlet Jr., Erell Jamelot
Variational methods for solving numerically magnetostatic systems. Adv. Comput. Math. 50 (1) (2024)
Nis-Erik Bohne, Patrick Ciarlet Jr., Stefan A. Sauter
Crouzeix-Raviart elements on simplicial meshes in d dimensions. CoRR (2024)
Changqing Ye, Xingguang Jin, Patrick Ciarlet Jr., Eric T. Chung
Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems. CoRR (2024)
Patrick Ciarlet Jr., David Lassounon, Mahran Rihani
An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients. CoRR (2022)
Damien Chicaud, Patrick Ciarlet Jr., Axel Modave
Analysis of Variational Formulations and Low-regularity Solutions for Time-harmonic Electromagnetic Problems in Complex Anisotropic Media. SIAM J. Math. Anal. 53 (3) (2021)
Félix Kpadonou, Stéphanie Chaillat, Patrick Ciarlet Jr.
On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic H-matrix accelerated Boundary Element Methods. Comput. Math. Appl. 80 (3) (2020)
Patrick Ciarlet Jr.
On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 3: Sensitivity to Coefficients. SIAM J. Math. Anal. 52 (3) (2020)
Juan Pablo Borthagaray, Patrick Ciarlet Jr.
-Norm for the Fractional Laplacian. SIAM J. Numer. Anal. 57 (4) (2019)
Patrick Ciarlet Jr., Sonia Fliss, Christian Stohrer
On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell's equations. Comput. Math. Appl. 73 (9) (2017)
Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Lucas Chesnel, Patrick Ciarlet Jr.
On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients. J. Comput. Phys. 322 (2016)
Patrick Ciarlet Jr.
On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields. Comput. Math. Appl. 71 (1) (2016)
Patrick Ciarlet Jr., Haijun Wu, Jun Zou
Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws. SIAM J. Numer. Anal. 52 (2) (2014)
Erell Jamelot, Patrick Ciarlet Jr.
Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. J. Comput. Phys. 241 (2013)
Eric T. Chung, Patrick Ciarlet Jr., Tang Fei Yu
Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids. J. Comput. Phys. 235 (2013)
Patrick Ciarlet Jr.
Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. J. Num. Math. 21 (3) (2013)
Eric T. Chung, Patrick Ciarlet Jr.
A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials. J. Comput. Appl. Math. 239 (2013)
Patrick Ciarlet Jr.
T-coercivity: Application to the discretization of Helmholtz-like problems. Comput. Math. Appl. 64 (1) (2012)
Lucas Chesnel, Patrick Ciarlet Jr.
Compact Imbeddings in Electromagnetism with Interfaces between Classical Materials and Metamaterials. SIAM J. Math. Anal. 43 (5) (2011)
A. S. Bonnet-Ben Dhia, Patrick Ciarlet Jr.
Erratum to "Time harmonic wave diffraction problems in materials with sign-shifting coefficients" [J. Computational Applied Mathematics doi: 10.1016/j.cam.2009.08.041]. J. Comput. Appl. Math. 234 (8) (2010)
A. S. Bonnet-Ben Dhia, Patrick Ciarlet Jr., Carlo Maria Zwölf
Time harmonic wave diffraction problems in materials with sign-shifting coefficients. J. Comput. Appl. Math. 234 (6) (2010)
Franck Assous, Patrick Ciarlet Jr.
Solving Vlasov-Maxwell equations in singular geometries. Math. Comput. Simul. 79 (4) (2008)
Franck Assous, Patrick Ciarlet Jr.
A Multiscale Approach for Solving Maxwell's Equations in Waveguides with Conical Inclusions. ICCS (2) (2008)
Patrick Ciarlet Jr., Erell Jamelot
Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries. J. Comput. Phys. 226 (1) (2007)
Franck Assous, Patrick Ciarlet Jr.
Numerical Solution to Maxwell's Equations in Singular Waveguides. International Conference on Computational Science (4) (2007)
Franck Assous, Patrick Ciarlet Jr.
Vlasov-Maxwell Simulations in Singular Geometries. International Conference on Computational Science (4) (2006)
Patrick Ciarlet Jr., Beate Jung, Samir Kaddouri, Simon Labrunie, Jun Zou
The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains. Numerische Mathematik 101 (3) (2005)
Patrick Ciarlet Jr., Jianguo Huang, Jun Zou
Some Observations on Generalized Saddle-Point Problems. SIAM J. Matrix Anal. Appl. 25 (1) (2003)
Patrick Ciarlet Jr., Jun Zou
Fully discrete finite element approaches for time-dependent Maxwell's equations. Numerische Mathematik 82 (2) (1999)
Tony F. Chan, Patrick Ciarlet Jr., W. K. Szeto
On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method. SIAM J. Sci. Comput. 18 (3) (1997)
Patrick Ciarlet Jr., Françoise Lamour
Does contraction preserve triangular meshes? Numer. Algorithms 13 (2) (1996)
Patrick Ciarlet Jr., Françoise Lamour
On the validity of a front-oriented approach to partitioning large sparse graphs with a connectivity constraint. Numer. Algorithms 12 (1) (1996)
Patrick Ciarlet Jr.
Repeated Red-Black ordering: a new approach. Numer. Algorithms 7 (2) (1994)
Patrick Ciarlet Jr.
Implementation of a Domain Decomposition Method Well-Suited for (Massively) Parallel Architectures. Int. J. High Speed Comput. 6 (1) (1994)