Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
ISSN: 0096-3003

hal-01159713
https://hal.archives-ouvertes.fr/hal-01159713

Éditeur(s) : HAL CCSD
Résumé : International audience
IEEE-AP/S International Symposium and USNC/URSI National Radio Science Meeting
Washington DC, United States

hal-00770282
https://hal.univ-antilles.fr/hal-00770282

Éditeur(s) : HAL CCSD
Résumé : The same lecture was made at the 1st Workshop on Solution Methodologies for Direct and Inverse Scattering Problems, INRIA Magique3D, Université de Pau et des Pays de l'Adour, December 12-14 2007.
International audience
9th IMACS Symposium on Iterative Methods in Scientific Computing
Lille, France

hal-00770280
https://hal.univ-antilles.fr/hal-00770280

Éditeur(s) : HAL CCSD
Résumé : International audience
The calculation of Fock-Exchange integral is becoming an important computational challenge in solving the quantum properties of systems with many electrons. In this work we show how techniques that are used in electromagnetic simulations for the similar Poisson equation can help in accelerating the calculation of such exchange integrals. The approach we present can be especially efficient for quasi-planar systems such as Graphene nano-ribbons (GNRs) or elongated systems such as carbon nano-tubes (CNTS) and the 1D Carbyne.
16th International Conference on Electromagnetics in Advanced Applications, ICEAA 2014
Palm Beach, Aruba

hal-01398279
https://hal.archives-ouvertes.fr/hal-01398279

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
ISSN: 0168-9274

hal-00530819
https://hal.archives-ouvertes.fr/hal-00530819
DOI : 10.1016/j.apnum.2009.12.006

Éditeur(s) : HAL CCSD
Résumé : International audience
17th International Conference on Electromagnetic in Advanced Applications, ICEAA2015
Torino, Italy

hal-01398274
https://hal.archives-ouvertes.fr/hal-01398274

Éditeur(s) : HAL CCSD
Résumé : International audience
The solution of the Poisson equation is an essential stage in the calculation of quantum properties of materials as it appears both in the electrostatic Hartree term and in the Fock exchange operator. We discuss here an integral method for the calculation of Poisson potential and demonstrate its integration with a Density Functional Theory (DFT) code. We show some results on elongated carbon chains.
2015 International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
Torino, Italy

hal-01398278
https://hal.archives-ouvertes.fr/hal-01398278

Éditeur(s) : HAL CCSD
Résumé : In an earlier paper, we developed an efficient incremental unknowns (IU) preconditioner for solving the two-dimensional (2D) Helmholtz problem in both high and low frequency (wavenumber) regimes. The multilevel preconditioning scheme involves separation of each grid into a coarser grid of the following level and a complementary grid on which the IUs are defined by interpolation. This approach is efficient as long as the mesh size of the coarsest grid is sufficiently small compared to the wavelength. In order to overcome this restriction, the authors introduced recently a modified IU method combining the conventional interpolation with the Helmholtz equation based interpolation (EBI). The EBI coefficients are derived numerically using a sufficiently large set of analytic solutions of the Helmholtz equation on a special hierarchy of stencils. The modified IUs using Helmholtz EBI are shown to provide improved preconditioning on the coarse scales where the conventional interpolation can not be employed. This study deals with the extension of this idea for solving the three-dimensional (3D) Helmholtz equation.
https://hal.univ-antilles.fr/hal-00763930

Droits : info:eu-repo/semantics/OpenAccess
hal-00763930
https://hal.univ-antilles.fr/hal-00763930
https://hal.univ-antilles.fr/hal-00763930/document
https://hal.univ-antilles.fr/hal-00763930/file/eci3D_3d.pdf

Éditeur(s) : HAL CCSD Wiley
Résumé : International audience
ISSN: 0749-159X

hal-00530821
https://hal.archives-ouvertes.fr/hal-00530821

Éditeur(s) : HAL CCSD
Résumé : Emory University
International audience
Preconditionning Techniques for Large Sparse Matrix problems in Science and Industrial applications
Atlanta, United States

hal-00778154
https://hal.univ-antilles.fr/hal-00778154