PUBLICATIONS

            ---> Articles in Journals
            ---> Articles in Journals, applications of mathematics
            ---> Preprints
            ---> In Proceedings
            ---> HDR-manuscript
            ---> PhD-Thesis

Articles in Journals

** E. Darrigrand, R. Cornaggia, E. Darrigrand, L. Le Marrec, F. Mahé. Enriched finite elements for time-harmonic Webster's equation. Computer Methods in Applied Mechanics and Engineering, In Press. DOI: 10.1016/j.cma.2018.07.031

** E. Darrigrand, N. Gmati, R. Rais. Convergence of Krylov subspace solvers with Schwarz' preconditioner for exterior Maxwell problem. Computers and Mathematics with Applications, 74 (11), pp 2691-2709, December 2017. DOI: 10.1016/j.camwa.2017.08.027
Get a preprint on [hal-01611138]: pdf file.

** Martin Costabel, Eric Darrigrand, Hamdi Sakly. Volume integral equations for electromagnetic scattering in two dimensions. Computers and Mathematics with Applications 70, pp 2087-2101, 2015. DOI: 10.1016/j.camwa.2015.08.026
Get a preprint on [hal-01145730]: pdf file.

** E. Darrigrand, N. Gmati, R. Rais. Schwarz method justification of a coupling between finite elements and integral representation for Maxwell exterior problem. C. R. Acad. Sci. Paris, Ser. I, 352, pp 311-315, 2014. DOI: 10.1016/j.crma.2014.02.006
Get a preprint on [hal-00951206]: pdf file.

** M. Darbas, E. Darrigrand, Y. Lafranche. Combining OSRC preconditioning and Fast Multipole Method for the Helmholtz equation. J. Comp. Phys., 236, pp 289-316, 2013, DOI: 10.1016/j.jcp.2012.10.059
Get a preprint on [hal-00749822]: pdf file.

** M. Costabel, E. Darrigrand, H. Sakly. The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body. C. R. Acad. Sci. Paris, Ser. I, 350 (3--4), pp 193-197, Feb. 2012; DOI: 10.1016/j.crma.2012.01.017
Get a preprint on [hal-00646229]: pdf file.

** E. Darrigrand, P. Monk. Combining the Ultra-Weak Variational Formulation and the Multilevel Fast Multipole Method.  Applied Numerical Mathematics, 62, pp. 709-719, 2012; doi:10.1016/j.apnum.2011.07.004
Get a preprint on [hal-00551809]: pdf file.

** P. Chartier, E. Darrigrand, E. Faou. A Regular Fast Multipole Method for Geometric Numerical Integrations of Hamiltonian Systems.  BIT Numerical Mathematics, 50, pp 23-40, 2010.

** M. Costabel, E. Darrigrand, E.H. Koné. Volume and surface integral equations for electromagnetic scattering by a dielectric body.  J. Comput. Appl. Math., 234, pp 1817-1825, 2010.
Get a preprint on
[hal-00373279]: pdf file.

** E. Darrigrand. Ultra-Weak Variational Formulation and Efficient Integral Representation in Electromagnetism: A Thorough Study of the Algorithm Complexity.  ESAIM-Proc., 22, pp 190-197, Oct 2007

** E. Darrigrand, P. Monk. Coupling of the Ultra-Weak Variational Formulation and an Integral Representation using a Fast Multipole Method in Electromagnetism.  J. Comput. Appl. Math., 204 (2), pp 400-407, July 2007

** Fioralba Cakoni, Eric Darrigrand. The Inverse Electromagnetic Scattering Problem for a Mixed Boundary Value Problem for Screens.  J. Comput. and Applied Math., 174 (2), pp 251-269, Feb 2005

** Fioralba Cakoni, David Colton, Eric Darrigrand. The Inverse Electromagnetic Scattering Problem for Screens.  Inverse Problems, 19 (3), pp 627-642, June 2003

** Alain Bachelot, Eric Darrigrand, Katherine Mer-Nkonga. Coupling of a Fast Multipole Method and a Microlocal Discretization for the 3-D Integral Equations of Electromagnetism. C. R. Acad. Sci. Paris, 336 (6), pp 505-510, March 2003

** Eric Darrigrand. Coupling of Fast Multipole Method and Microlocal Discretization for the 3-D Helmholtz Equation. J. Comp. Phys., 181 (1), pp 126-154, Sept. 2002
Get a preprint here:
Preprint LRC-M03 n° 01.19.

Articles which required a specific math expertize

** P. Hascoet, F. Chesnel, F. Jouan, C. Le Goff, A. Couturier, E. Darrigrand, F. Mahé, N. Rioux-Leclercq, X. Le Goff, Y. Arlot-Bonnemains. The pVHL172 isoform is not a tumor suppressor and up-regulates a subset of pro-tumorigenic genes including TGFB1 and MMP13. Oncotarget, June 2017 https://doi.org/10.18632/oncotarget.18376

Preprints (unpublished)

** E. Darrigrand, D. Martin. Résolution des équations intégrales de B. Després avec la librairie éléments finis Mélina++. eid.pdf, May 2009.

In Proceedings

** Faker Ben Belgacem, Eric Darrigrand, Nabil Gmati, Rania Rais. Convergence analysis of GMRES method for exterior Maxwell problem. In WAVES'13, 2 pages, INRIA - ENIT

** Marion Darbas, Eric Darrigrand, Yvon Lafranche. Combining Analytic Preconditioner and Fast Multipole Method for the 3-D Helmholtz equation. In WAVES'13, 2 pages, INRIA - ENIT

** Martin Costabel, Eric Darrigrand, Hamdi Sakly. Around the essential spectrum in the diffraction theory of electromagnetic waves. In WAVES'13, 2 pages, INRIA - ENIT

** Marion Darbas, Eric Darrigrand. OSRC preconditioning and Fast Multipole Method for high-frequency scattering problems. In Eccomas 2012, 2 pages, University of Vienna, Sept. 2012

** Eric Darrigrand, Corinna Burkard, Marion Darbas, El-Hadji Koné, Frédérique Le Louër, Daniel Martin, Rania Rais. Surface and Volume Integral Equations for the library Mélina++. In Nonlinear Least Squares in Shape Identification Problems (M. Dambrine, F. Hettlich, R. Potthast, Eds.), Oberwolfach Reports Vol. 05/2011

** Eric Darrigrand, Nabil Gmati, Rania Rais. Total overlapping Schwarz method for exterior Maxwell problem. In WAVES'11, 4 pages, INRIA - University of Vancouver, July 2011

** Marion Darbas, Eric Darrigrand. Combining OSRC preconditioning and Fast Multipole Method for the Helmholtz equation. In WAVES'11, 4 pages, INRIA - University of Vancouver, July 2011

** Eric Darrigrand, Nabil Gmati, Rania Rais. Méthode multipôles rapide pour le couplage entre éléments finis et représentation intégrale. CARI'2010, 8 pages, Oct. 2010

** Martin Costabel, Eric Darrigrand, El-Hadji Koné, Daniel Martin. Numerical Resolution of a Volume Integral Equation: Treatment of Singularities. In WAVES'09, 2 pages, INRIA - University of Pau, June 2009

** El-Hadji Koné, Martin Costabel, Eric Darrigrand. Volume and surface integral equations for electromagnetic scattering by a dielectric body. In Analysis of Boundary Element Methods (M. Costabel, E. Stephan, Eds.), Oberwolfach Reports Vol. 5, No 2, 988-990, 2008

** Eric Darrigrand, Ludovic Gatard, Katherine Mer-Nkonga. High order boundary integral methods for Maxwell's equations using Microlocal Discretization and Fast Multipole Methods. In ICIAM 07, Proc. Appl. Math. Mech. 7, 1022705-1022706 (2007).

** Martin Costabel, Eric Darrigrand, El-Hadji Koné. Volume and surface integral equations for electromagnetic scattering by a dielectric body. In WAVES'07, 406-408, INRIA - University of Reading, July 2007

** Eric Darrigrand, Peter Monk. Ultra-Weak Variational Formulation and Integral Representation using a Multilevel Fast Multipole Method. In WAVES'07, 50-52, INRIA - University of Reading, July 2007

** Eric Darrigrand, Peter Monk. Coupling of Ultra-Weak Variational Formulation and Integral Representation using a Fast Multipole Method in Electromagnetism. In WAVES'05, 3 pages, INRIA - University of Brown, June 2005

** Fioralba Cakoni, Eric Darrigrand. The Linear Sampling Method for the Inverse Electromagnetic Scattering Screens. In GAMM 05, Proc. Appl. Math. Mech. 5, 645-646 (2005).

** Eric Darrigrand, Peter Monk. Ultra-Weak Variational Formulation and Integral Representation using a Fast Multipole Method for the Equations of Electromagnetism. In Third International Conference on Boundary Integral Methods : Theory and Applications. IMA - University of Reading, pp 37, September 2004.

** Alain Bachelot, Eric Darrigrand, Katherine Mer-Nkonga. Coupling of a Fast Multipole Method and a Microlocal Discretization for the Integral Equations of Electromagnetism. In WAVES'03, INRIA - University of Jyväskylä, pp 669-674, June 2003

** Eric Darrigrand. Coupling of Fast Multipole Method and Microlocal Discretization for the 3-D Equations of Electromagnetism. In JEE'02: European Symposium on Numerical Methods in Electromagnetics. ONERA - Toulouse, pp 121-126, March 2002

** Eric Darrigrand. Fast Multipole Method and Microlocal Discretization for the 3-D Helmholtz Equation. In 2001 IEEE AP-S International Symposium and USNC/URSI National Radio Science Meeting. IEEE - MIT, July 2001

** Eric Darrigrand. Fast Multipole Method and Microlocal Discretization for the Helmholtz Equation in Three Dimensions. In Second International Conference on Boundary Integral Methods : Theory and Applications. IMA - University of Bath, September 2000.
 

HDR-manuscript

** Eric Darrigrand. Opérateurs intégraux, noyaux singuliers, méthodes rapides : Outils mathématiques pour la résolution numérique de problèmes denses et de grande dimension. Manuscrit HDR, 28 Nov. 2014

Disponible sous forme électronique / Available on electronic form: Darrigrand_HDR_manuscrit.pdf (7 Mb),

** L'exposé de la soutenance du 28 nov. 2014 : hdr_EricD.pdf (4.8 Mb)
 

PhD-Thesis

** Eric Darrigrand. Couplage Méthodes Multipôles Rapides et Discrétisation Microlocale pour les Equations Intégrales de l'Electromagnétisme. PhD-Thesis, 26 Sept. 2002

Disponible sous forme électronique / Available on electronic form:

        "Serveur des thèses en ligne du CCSD" : My PhD-Thesis on pdf form

** Les transparents de la soutenance de thèse sont aussi disponibles au format .ps, en "landscape" (ou "seascape") :
        Transparents de la soutenance du 26 Sept 2002 / Slides : soutenance.ps.gz

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