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Articles
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Y. Coudière and F. Hubert.
A 3d discrete duality finite volume method
for nonlinear elliptic equations.
SIAM J. Sci. Comp., 2010.
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Y. Coudière and M. Manzini.
The discrete duality finite volume method for convection-diffusion problems.
SIAM J. Numer. Anal., 47(6):4163-4192, 2010.
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Y. Coudière, C. Pierre, O. Rousseau, and R. Turpault.
A 2D/3D discrete duality finite volume scheme. application to ECG
simulation.
International Journal on Finite Volumes, 6(1), 2009.
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Y. Bourgault, Y. Coudière, and C. Pierre.
Existence and uniqueness of the solution for the bidomain model used
in cardiac electrophysiology.
Nonlinear Anal. Real World Appl., 10(1):458-482, 2009.
DOI:doi:10.1016/j.nonrwa.2007.10.007.
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Y. Coudière and C. Pierre.
Stability and convergence of a finite volume method for two systems
of reaction-diffusion equations in electro-cardiology.
Nonlinear Anal. Real World Appl., 7(4):916-935, 2006.
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A. Dervieux, D. Leservoisier, P. L. George, and Y. Coudière.
About theoretical and practical impact of mesh adaptation on
approximation of functions and pde solutions.
Internat. J. Numer. Methods Fluids, 43(5):507-516, 2003.
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Y. Coudière, T. Gallouët, and R. Herbin.
Discrete sobolev inequalities and Lp error estimates for finite
volume solutions of convection diffusion equations.
Math. Model. Numer. Anal., 35(4):767-778, 2001.
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Y. Coudière, J. P. Vila, and P. Villedieu.
Convergence d'un schéma volumes finis explicite en temps pour les
systèmes hyperboliques linéaires symétriques en domaines
bornés (convergence of a finite volume time-explicit scheme for symmetric
linear hyperbolic systems on bounded domains).
C.R. Acad. Sci., Paris, Sér. I, Math., 331:95-100, 2000.
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Y. Coudière and P. Villedieu.
Convergence of a finite volume scheme for the linear
convection-diffusion equation on locally refined meshes.
Math. Model. Numer. Anal., 34(6):1123-1149, 2000.
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Y. Coudière, J. P. Vila, and P. Villedieu.
Convergence rate of a finite volume scheme for a two dimensionnal
diffusion convection problem.
Math. Model. Numer. Anal., 33(3):493-516, 1999.
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G. Laurent, S. Saal, M.Y. Amarouch, L. Faivre, G. Bertaux, S. Falcon-Eicher,
O. Barthez, C. Thauvin-Robinet, P. Charron, P. Richard, V. Probst, E. Baron,
I. Bar, J. Barc, J.J. Schott, J. Merot, R. Turpault, Y. Coudiere,
G. Loussouarn, F. Kyndt, and J.E. Wolf.
Multifocal ectopic Purkinje tachycardia, a new SCN5A-related cardiac channelopathy.
Submitted to the Journal of Clinical Investigation, 2010.
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A. Azzouzi, Y. Coudière, R. Turpault, and N. Zemzemi.
A mathematical model of Purkinje-muscle junctions.
Submitted to Mathematical Biosciences and Engineering, 2010.
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Y. Bourgault, Y. Coudière, and M. Rioux.
Optimal monodomain approximations of the bidomain equations for the
isolated heart.
In Preparation, 2010.
Articles de congrès internationaux dans les domaines de l'imagerie
médicale ou de la bioingénierie
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M. Sermesant, E. Konukoglu, H. Delingette, Y. Coudière, P. Chinchapatnam,
K. S. Rhode, R. S. Razavi, and N. Ayache.
An anisotropic multi-front fast marching method for real-time
simulation of cardiac electrophysiology.
In Functional Imaging And Modeling Of The Heart, 4th
International Conference, number 4466 in Lecture Notes In Computer Science,
pages 160-169. Springer, 2007.
DOI:10.1007/978-3-540-72907-517.
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M. Sermesant, Y. Coudière, V. Moreau-Villeger, K. S. Rhode, D. L. Hill, and
R. S. Razavi.
A fast-marching approach to cardiac electrophysiology simulation for
XMR interventional imaging.
In Medical Image Computing And Computer-Assisted Intervention -
MICCAI 2005, number 3750 in Lect. Notes Comput. Sci. Springer, 2005.
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M. Sermesant, O. Faris, F. Evans, E. McVeigh, Y. Coudière, H. Delingette,
and N. Ayache.
Preliminary validation using in vivo measures of a macroscopic
electrical model of the heart.
In International Symposium On Surgery Simulation And Soft Tissue
Modeling - IS4TM'03, Lect. Notes Comput. Sci., pages 230-243. Springer,
2003.
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M. Sermesant, Y. Coudière, H. Delingette, N. Ayache, and J. A.
Désidéri.
An electro-mechanical model of the heart for cardiac image analysis.
In W. J. Niessen and M. A. Viergever, editors, Medical Image
Computing And Computer-Assisted Intervention - MICCAI 2001. 4th International
Conference, number 2208 in Lect. Notes Comput. Sci., pages 224-231.
Springer, 2001.
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N. Ayache, D. Chapelle, F. Clément, Y. Coudière, H. Delingette, J. A.
Désidéri, M. Sermesant, M. Sorine, and José M. Urquiza.
Towards model-based estimation of the cardiac electro-mechanical
activity from ECG signals and ultrasound images.
In T. Katila, I. E. Magnin, P. Clarysse, J. Montagnat, and
J. Nenonen, editors, Functional Imaging And Modeling Of The Heart. 1st
International Workshop, number 2230 in Lect. Notes Comput. Sci., pages
120-127. Springer, 2001.
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Conférences internationales
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G. Laurent, S. Saal, M.Y. Amarouch, L. Faivre, G. Bertaux, O. Barthez,
C. Thauvin-Robinet, P. Charron, P. Richard, V. Probst, E. Baron, I. Baro,
J. Barc, J.J. Schott, J. Merot, Y. Coudiere, R. Turpault, G. Loussouarn,
F. Kyndt, and J.E. Wolf.
SCN5A mutation associated with a novel cardiac arrhythmia disorder
involving the left fascicular-purkinje system associated with dilated
cardiomyopathy.
In european society of cardiology meeting
(abstract), 2010.
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A. Azzouzi, Y. Coudière, and
R. Turpault.
A mathematical model of the ventricular
conduction system.
In ICNAAM proceedings, AIP, 2010.
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Y. Coudière and F. Hubert.
A 3D discrete duality finite volume method for nonlinear elliptic
equations.
In Algoritmy, Conference on Scientific Computing, Slovakia,
2009.
[http|.pdf]
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Y. Coudière, C. Pierre, and R. Turpault.
A 2D/3D finite volume method used to solve the bidomain equations of
electrocardiology.
In Algoritmy, Conference on Scientific Computing, Slovakia,
2009.
[http|.pdf]
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Y. Coudière, C. Pierre, O. Rousseau, and R. Turpault.
A DDFV scheme for anisotropic and heterogeneous elliptic equations,
application to a bio-mathematics problem: Electrocardiogram simulation.
In Finite Volume For Complex Applications, Problems And
Perspectives. 5th International Conference. London (UK) Wiley, 2008.
[http|.pdf]
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M. Pop, M. Sermesant, Y. Coudière, J. J. Graham, M. Bronskill, A. Dick, and
G. A. Wright.
A theoretical model of ventricular reentry and its radiofrequency
ablation therapy.
In 2006 IEEE International Symposium On Biomedical Imaging,
2006.
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M. Pop, M. Sermesant, A. Dick, J. J. Graham, Y. Coudière, and G. A. Wright.
Aid of computer modelling to identify ventricular rentries due to
infarct scars.
In 15th World Congress In Cardiac Electrophysiology And Cardiac
Techniques, volume 8. Europace, 2006.
Supplement 1.
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M. Pop, M. Sermesant, J. J. Graham, A. Dick, Y. Coudière, and G. A. Wright.
Assessment of radiofrequency ablation of ventricular arrhythmias via
magnetic resonnance imaging and computer modelling.
In 15th World Congress In Cardiac Electrophysiology And Cardiac
Techniques, volume 8. Europace, 2006.
Supplement 1.
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Y. Coudière, C. Pierre, and R. Turpault.
A finite volume method for the coupled heart-torso bidomain model in
electrcardiology.
In Computational Fluid And Solid Mechanics, 3rd MIT Conference,
2005.
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Y. Coudière, C. Pierre, and R. Turpault.
Stability and convergence of a finite volume method for a
reaction-diffusion system of equations in electro-cardiology.
In Finite Volumes For Complex Applications IV. Problems And
Perspectives. Papers From The 4th International Conference, pages 163-172.
Hermès, 2005.
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M. Sermesant, Y. Coudière, H. Delingette, and N. Ayache.
Progress towards an electromechanical model of the heart for cardiac
image analysis.
In IEEE International Symposium On Biomedical Imaging
(ISBI'02), 2002.
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M. Sermesant, Y. Coudière, H. Delingette, N. Ayache, J. Sainte-Marie,
D. Chapelle, F. Clément, and M. Sorine.
Progress towards model-based estimation of the cardiac
electromechanical activity from ECG signals and 4d images.
ESAIM, Proc., 12:153-161, 2002.
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Y. Coudière, J. P. Vila, and P. Villedieu.
Convergence of the finite volumes method for Friedrichs' systems on
bounded domains.
In On Nonlinear Partial Differential Equations, Besançon
(France), 1999.
International Conference in memory of S.N. Kruskov.
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Y. Coudière and P. Villedieu.
Convergence rate of the finite volume time-explicit upwind scheme for
the Maxwell system on a bounded domain.
In F. Benkhaldoum and R. Vilsmeier, editors, Finite Volumes For
Complex Applications II. Problems And Perspectives. Papers From The 2nd
International Conference, pages 125-132. Hermès, 1999.
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Y. Coudière and P. Villedieu.
Cell centered finite volume schemes for convection-diffusion
problems.
In Abstracts Of The Invited Lectures At The Seventh
International Colloquium On Numerical Analysis, pages 233-240, Plovdiv,
Bulgaria, August 1998.
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Y. Coudière, J. P. Vila, and P. Villedieu.
Convergence of a finite volume scheme for a diffusion convection
problem.
In F. Benkhaldoum and R. Vilsmeier, editors, Finite Volumes For
Complex Applications, pages 161-168. Hermès, 1996.
Autres
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C. Berthon, Y. Coudière, and R. Turpault.
Simuler, vite et bien.
Têtes chercheuses, 15, Actualité et
culture des sciences en Pays de la Loire, Automne 2010.
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Y. Coudière.
Contributions à l'analyse numérique de méthodes de volumes
finis, à la modélisation et au calcul en électrocardiologie.
HDR, Université de Nantes, 2 juillet 2009.
[http|.pdf]
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Y. Coudière and R. Turpault.
MATAPLI, chapter Modèles et Méthodes Mathématiques en
Électrocardiologie.
SMAI, 2008.
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Y. Coudière, C. Pierre, and R. Turpault.
Solving the fully coupled heart and torso problems of
electrocardiology with a 3D discrete duality finite volume method.
2006.Unpublished.
[http|.pdf]
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Y. Coudière, B. Palmerio, A. Dervieux, and D. Leservoisier.
Accuracy barriers in mesh adaptation.
Technical report, INRIA Sophia Antipolis - SMASH, 2002.
[http|.pdf]
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Y. Coudière.
Analyse de Schémas Volumes Finis Sur Maillages Non
Structurés Pour Des Problèmes Linéaires Hyperboliques et
Elliptiques.
PhD thesis, Université Paul Sabatier, 12 janvier 1999.
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