Bibliography

Major publications by the team in recent years

[1]

L. Boudin, L. Desvillettes, R. Motte.
A modeling of compressible droplets in a fluid, in: Commun. Math. Sci., 2003, vol. 1, n^o 4, p. 657–669.

[2]

M. Boulakia.
Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid, in: J. Math. Pures Appl. (9), 2005, vol. 84, n^o 11, p. 1515–1554.

[3]

E. Burman, M. A. Fernández.
Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility, in: Comput. Methods Appl. Mech. Engrg., 2008.

[4]

E. Burman, M. A. Fernández.
Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Transient Stokes Equations: Stability and Convergence Analysis, in: SIAM Journal on Numerical Analysis, 2008, vol. 47, n^o 1, p. 409–439.

[5]

P. Causin, J.-F. Gerbeau, F. Nobile.
Added-mass effect in the design of partitioned algorithms for fluid-structure problems, in: Comp. Meth. Appl. Mech. Engng., 2005, vol. 194, n^o 42-44.

[6]

B. Druez, L. Dumas, N. Lecerf.
Adaptive Hybrid Optimization of aircraft engine blades, in: J. Comp. Appl. Math., 2009, vol. 232, n^o 1, p. 54-60.

[7]

M. A. Fernández, J.-F. Gerbeau, C. Grandmont.
A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid, in: Internat. J. Numer. Methods Engrg., 2007, vol. 69, n^o 4, p. 794–821.

[8]

C. Fetita, S. Mancini, D. Perchet, F. Prêteux, M. Thiriet, L. Vial.
Computational model of oscillatory flow in the proximal part of tracheobronchial trees, in: Computer Methods in Biomechanics and Biomedical Engineering, 2005, vol. 8, p. 279-293.

[9]

C. Grandmont.
Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate, in: SIAM J. Math. Anal., 2008, vol. 40, n^o 2, p. 716–737.

[10]

M. Thiriet.
Biology and Mechanics of Blood Flows, part I: Biology of Blood Flows (652 p.), part II: Mechanics and Medical Aspects of Blood Flows (464 p.), CRM Series in Mathematical Physics, Springer, 2008.

[11]

I. E. Vignon-Clementel, C. A. Figueroa, K. E. Jansen, C. A. Taylor.
Outflow Boundary Conditions for Three-dimensional Finite Element Modeling of Blood Flow and Pressure in Arteries, in: Computer Methods in Applied Mechanics and Engineering, 2006, vol. 195, p. 3776-3796.

Publications of the year

Articles in International Peer-Reviewed Journal

[12]

M. Astorino, F. Chouly, M. A. Fernández.
An added-mass free semi-implicit coupling scheme for fluid-structure interaction, in: C. R. Math. Acad. Sci. Paris, 2009, vol. 347, n^o 1-2, p. 99–104.

[13]

M. Astorino, F. Chouly, M. A. Fernández.
Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics, in: SIAM Journal on Scientific Computing, 2009, vol. 31, n^o 6, p. 4041–4065.

[14]

M. Astorino, J.-F. Gerbeau, O. Pantz, K. Traoré.
Fluid-structure interaction and multi-body contact. Application to aortic valves, in: Comp. Meth. Appl. Mech. Engng., 2009, vol. 198, p. 3603-3612.

[15]

L. Boudin, L. Desvillettes, C. Grandmont, A. Moussa.
Global existence of solutions for the coupled Vlasov and Navier-Stokes equations, in: Differential Integral Equations, 2009, vol. 11–12, p. 1247–1271.

[16]

L. Boudin, F. Salvarani.
A kinetic approach to the study of opinion formation, in: M2AN Math. Model. Numer. Anal., 2009, vol. 43, n^o 3, p. 507–522.

[17]

L. Boudin, F. Salvarani.
The quasi-invariant limit for a kinetic model of sociological collective behavior, in: Kinet. Relat. Models, 2009, vol. 2, n^o 3, p. 433–449.

[18]

M. Boulakia, C. Grandmont, A. Osses.
Some inverse stability results for the bistable reaction-diffusion equation using Carleman inequalities, in: C. R. Math. Acad. Sci. Paris, 2009, vol. 347, n^o 11-12, p. 619–622
http://dx.doi.org/10.1016/j.crma.2009.03.022.

[19]

E. Burman, M. A. Fernández.
Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation, in: Comput. Methods Appl. Mech. Engrg., 2009, vol. 198, n^o 33-36, p. 2508–2519.

[20]

E. Burman, M. A. Fernández.
Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility, in: Comput. Methods Appl. Mech. Engrg., 2009, vol. 198, n^o 5-8, p. 766–784.

[21]

A. Decoene, J.-F. Gerbeau.
Sigma transformation and ALE formulation for three-dimensional free surface flows, in: Internat. J. Numer. Methods Fluids, 2009, vol. 59, n^o 4, p. 357-386.

[22]

J.-F. Gerbeau, T. Lelièvre.
Generalized Navier Boundary Condition and Geometric Conservation Law for surface tension, in: Comput. Meth. Appl. Mech. Engng., 2009, vol. 198, p. 644-756.

[23]

H. J. Kim, I. E. Vignon-Clementel, C. A. Figueroa, J. F. LaDisa, K. E. Jansen, J. A. Feinstein, C. A. Taylor.
On coupling a lumped parameter heart model and a three-dimensional finite element aorta model, in: Annals of Biomedical Engineering, 2009, vol. 37, n^o 11, p. 2153-2169
http://dx.doi.org/10.1007/s10439-009-9760-8.

International Peer-Reviewed Conference/Proceedings

[24]

M. Astorino, J.-F. Gerbeau, S. C. Shadden, I. E. Vignon-Clementel.
Realistic Blood Flow Through the Aortic Valve: Simulation and Analysis, in: 1st International Conference on Mathematical and Computational Biomedical Engineering - CMBE, P. Nithiarasu, R. Löhner (editors), 2009.

[25]

C. Bertoglio, M. A. Fernández, J.-F. Gerbeau, P. Moireau.
Filtering-based data assimilation in fluid-structure interaction: towards personalization of vascular models, in: 1st International Conference on Mathematical and Computational Biomedical Engineering - CMBE, P. Nithiarasu, R. Löhner (editors), 2009.

[26]

A. Caiazzo, M. A. Fernández, J.-F. Gerbeau, V. Martin, I. E. Vignon-Clementel.
Flow through stents in Abdominal Aortic Aneurysms, in: 1st International Conference on Mathematical and Computational Biomedical Engineering - CMBE, P. Nithiarasu, R. Löhner (editors), 2009.

[27]

F. Chouly, M. A. Fernández.
An Enhanced Parareal Algorithm for Partitioned Parabolic-Hyperbolic Coupling, in: AIP Conference Proceedings, T. Simos, G. Psihoyios, T. Ch. (editors), AIP, 2009, vol. 1168, n^o 1, p. 1517–1520.

[28]

A. Devys, C. Grandmont, B. Grec, B. Maury, D. Yakoubi.
Numerical method for the 2D simulation of the respiration., in: CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids, ESAIM: Proceedings, 2009, vol. 28.

[29]

L. R. Hellevik.
Analytical results for wave propagation in compliant vessels, in: Proceedings of the Twenty Second Nordic Seminar on Computational Mechanics, P. Nithiarasu, R. Löhner (editors), 2009, vol. 11, p. 83-86.

Workshops without Proceedings

[30]

J.-P. Latere, I. E. Vignon-Clementel, K. Nissen, J.-F. Gerbeau, C. Homsy.
Injection of cells into the heart: a comprehensive model to increase retention, in: American Journal of Cardiology, 2009, vol. 104, n^o 6A, 78D p, 21rst Annual Transcatheter Cardiovascular Therapeutics Conference.

[31]

I. E. Vignon-Clementel, T. Vareschi, J.-F. Gerbeau.
Kinematics and hemodynamics of arteries on the beating heart, in: 15th International Conference on Finite Elements in Flow Problems, Tokyo, Japan, April 1st-3rd 2009.

Scientific Books (or Scientific Book chapters)

[32]

D. Drasdo, N. Jagiella, I. Ramis-Conde, I. E. Vignon-Clementel, W. Weens.
Modeling Steps from a Begnin Tumor to an Invasive Cancer: Examples of Instrinsically Multiscale Problems, in: Cell mechanics: from single scale based models to multiscale modeling, A. Chauvière, L. Preziosi, C. Verdier (editors), Taylor & Francis, 2009.

[33]

M. A. Fernández, L. Formaggia, J.-F. Gerbeau, A. Quarteroni.
The derivation of the equations for fluids and structures, in: Cardiovascular mathematics, MS&A. Model. Simul. Appl., Springer Italia, Milan, 2009, vol. 1, p. 77–121.

[34]

M. A. Fernández, J.-F. Gerbeau.
Algorithms for fluid-structure interaction problems, in: Cardiovascular mathematics, MS&A. Model. Simul. Appl., Springer Italia, Milan, 2009, vol. 1, p. 307–346.

Internal Reports

[35]

A. Blouza, L. Boudin, S. Kaber.
Parallel in time algorithms with reduction methods for solving chemical kinetics, UPMC-LJLL, 2009
http://www.ann.jussieu.fr/publications/2009/R09040.html, Technical report.

[36]

L. Boudin, R. Monaco, F. Salvarani.
A kinetic model for multidimensional opinion formation in presence of media, Dipartimento di Matematica, Politecnico di Torino, 2009, Technical report.

[37]

M. Boulakia, S. Cazeau, M. A. Fernández, J.-F. Gerbeau, N. Zemzemi.
Mathematical Modeling of Electrocardiograms: A Numerical Study, INRIA, 2009
http://hal.inria.fr/inria-00400490/fr/, RR-6977, To appear in Annals of Biomedical Engineering.

[38]

E. Burman, A. Ern, M. A. Fernández.
Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for first-order linear PDE systems, CERMICS, ENPC, 2009, n^o 409
http://hal.archives-ouvertes.fr/hal-00380659, Submitted.

[39]

E. Burman, M. A. Fernández.
Analysis of the PSPG method for the transient Stokes' problem, INRIA, 2009, n^o RR-7074
http://hal.archives-ouvertes.fr/inria-00426777, Submitted.

[40]

M. A. Fernández, N. Zemzemi.
Decoupled time-marching schemes in computational cardiac electrophysiology and ECG numerical simulation, INRIA, 2009, n^o RR-7022
http://hal.archives-ouvertes.fr/inria-00411510, Submitted.

Other Publications

[41]

M. Astorino, C. Grandmont.
Convergence analysis of a projection semi-implicit coupling scheme for fluid-structure interaction problems, 2009
http://hal.inria.fr/inria-00406493/fr/, submitted.

[42]

L. Baffico, C. Grandmont, B. Maury.
Multiscale modelling of the respiratory tract, 2009
http://hal.inria.fr/inria-00343629/fr/, to appear in Math. Models Methods Appl. Sci. (M3AS).

[43]

M. Boulakia, S. Guerrero.
A regularity result for a solid-fluid system associated to the compressible Navier-Stokes equations, 2009, submitted.

[44]

A. Caiazzo, M. A. Fernández, J.-F. Gerbeau, V. Martin.
Projection schemes for fluid flows through a porous interface, 2009, in preparation.

[45]

D. Chapelle, J.-F. Gerbeau, J. Sainte-Marie, I. E. Vignon-Clementel.
A poroelastic model valid in large strains with applications to perfusion in cardiac modeling, 2009
http://dx.doi.org/10.1007/s00466-009-0452-x, to appear in Computational Mechanics.

[46]

A. Devys, S. Martin, B. Maury, D. Yakoubi.
Oxygen Diffusion During Human Breathing, 2009, submitted.

[47]

L. Dumas.
An optimal model of blood flow in arteries, 2009, submitted to International Journal for Numerical Methods in Fluids, special issue of CNTSC09.

[48]

C. Farhat, J.-F. Gerbeau, A. Rallu.
Three dimensional two-phase flows with general equations of states, 2009, in preparation.

[49]

C. Farhat, J.-F. Gerbeau, K. Wang, A. Rallu.
Algorithms for the Discretization of Fluid-Structure Transmission Conditions on Embedded Meshes, 2009, in preparation.

[50]

M. A. Fernández, J.-F. Gerbeau.
Cardiovascular modelling: two examples of industrial applications, 2009, vol. 46
http://www.mafy.lut.fi/EcmiNL/issues.php?issueNumber=46.

[51]

H. J. Kim, I. E. Vignon-Clementel, J. S. Coogan, C. A. Figueroa, K. E. Jansen, C. A. Taylor.
Patient-specific modeling of blood flow and pressure in human coronary arteries, 2009, submitted.

[52]

P. Moireau, N. Xiao, M. Astorino, C. A. Figueroa, D. Chapelle, C. A. Taylor, J.-F. Gerbeau.
External tissue support and fluid-structure simulation in blood flows, 2009, in preparation.

[53]

S. C. Shadden, M. Astorino, J.-F. Gerbeau.
Computational analysis of an aortic valve jet with Lagrangian coherent structures, 2009, to appear in Chaos.

[54]

I. E. Vignon-Clementel, C. A. Figueroa, K. E. Jansen, C. A. Taylor.
Outflow boundary conditions for three-dimensional simulations of non-periodic blood flow and pressure fields in deformable arteries, 2009, In press.

References in notes

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A. Amsden, P. O'Rourke, T. Butler.
A computer program for chemically reactive flows with sprays, Los Alamos National Laboratory, 1989, n^o LA-11560-MS, Technical report.

[56]

M. A. Biot.
Theory of propagation of elastic waves in a fluid-saturated porous solid. II higher frequency range, in: J. Acoust. Soc. Am., 1956, vol. 28, p. 179–191.

[57]

L. Boudin, L. Weynans.
Spray impingement on a wall in the context of the upper airways, in: Mathematical and numerical modelling of the human lung, ESAIM: Proceedings, 2008, vol. 23, p. 1-9.

[58]

M. Boulakia, A. Osses.
Local null controllability of a two-dimensional fluid-structure interaction problem, in: ESAIM Control Optim. Calc. Var., 2008, vol. 14, n^o 1, p. 1–42.

[59]

J.-A. Carrillo, T. Goudon, P. Lafitte.
Simulation of fluid and particles flows: asymptotic preserving schemes for bubbling and flowing regimes, in: J. Comput. Phys., 2008, vol. 227, n^o 16, p. 7929–7951
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[60]

O. Coussy.
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[61]

J. Dupays, Y. Fabignon, P. Villedieu, G. Lavergne, G. Estivalezes.
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[62]

C. Farhat, J. Cortial, C. Dastillung, H. Bavestrello.
Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses, in: International Journal for Numerical Methods in Engineering, 2006, vol. 67, p. 697-724.

[63]

M. A. Fernández, J.-F. Gerbeau, V. Martin.
Numerical simulation of blood flows through a porous interface, in: Math. Model. Num. Anal. (M2AN), 2008, vol. 42, p. 961-990.

[64]

L. Formaggia, J.-F. Gerbeau, F. Nobile, A. Quarteroni.
On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels, in: Comput. Methods Appl. Mech. Engrg., 2001, vol. 191, n^o 6-7, p. 561–582.

[65]

S. Galam, Y. Gefen, Y. Shapir.
Sociophysics: a new approach of sociological collective behaviour. I. Mean-behaviour description of a strike., in: J. Math. Sociol., 1982, vol. 9, p. 1–23.

[66]

M. Juntunen, R. Stenberg.
Nitsche's method for general boundary conditions, in: Math. Comp., 2009, vol. 78, n^o 267, p. 1353–1374.

[67]

G. Lines, P. Grottum, A. Tveito.
Modeling the electrical activity of the heart. A bidomain model of the ventricles embedded in a torso., in: Comput. Visual. Sci., 2003, vol. 5, p. 195-213.

[68]

P. Moireau, D. Chapelle, P. Le Tallec.
Joint state and parameter estimation for distributed mechanical systems, in: Comput. Methods Appl. Mech. Engrg., 2008, vol. 197, n^o 6-8, p. 659–677.

[69]

R. Motte.
A numerical method for solving particle-fluid equations, in: Trends in numerical and physical modeling for industrial multiphase flows, Cargèse, France, 2000.

[70]

A. Quarteroni, S. Ragni, A. Veneziani.
Coupling between lumped and distributed models for blood flow problems, in: Comput. Visual Sci., 2001, vol. 4, p. 111–124.

[71]

F. Sachse.
Computational Cardiology: Modeling of Anatomy, Electrophysiology, and Mechanics, Springer-Verlag, 2004.

[72]

J. Sundnes, G. Lines, X. Cai, B. Nielsen, K.-A. Mardal, A. Tveito.
Computing the electrical activity in the heart, Springer-Verlag, 2006.

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K. Terzaghi.
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F. Williams.
Combustion theory, 2nd, Benjamin Cummings, 1985.