Articles

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2009

E. Burman, M.A. Fernández

Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility

Comput. Methods Appl. Mech. Engrg., Vol. 198, Num. 5-8, pp. 766-784, 2009, DOI: 10.1016/j.cma.2008.10.012

A. Decoene, J.-F. Gerbeau

Sigma transformation and ALE formulation for three-dimensional free surface flows.

Int. Jour. Num. Meth. Fluids, vol. 59, num. 4, p. 357-386, 2009

E. Burman, M.A. Fernández

Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation

Comput. Methods Appl. Mech. Engrg., Vol. 198, num. 33-36, pp. 2508-2519, 2009. DOI: 10.1016/j.cma.2009.02.011

J.-F. Gerbeau, T. Lelièvre

Generalized Navier Boundary Condition and Geometric Conservation Law for surface tension

Comput. Meth. Appl. Mech. Engng., Vol. 198, p. 644-756, 2009

M. Astorino, F. Chouly, M.A. Fernández

An added-mass free semi-implicit coupling scheme for fluid-structure interaction

C. R. Acad. Sci. Paris Sér. I Math., Vol. 347, Num. 1-2, pp. 99-104 , 2009. DOI: 10.1016/j.crma.2008.11.003

L. Boudin, L. Desvillettes, C. Grandmont, A. Moussa

Global existence of solutions for the coupled Vlasov and Navier-Stokes equations

to appear in Differential and Integal Equations, Download the preprint

M. Astorino, F. Chouly, M.A. Fernández

Robin based semi-implicit coupling in fluid-structure interaction: stability analysis and numerics

SIAM J. Sci. Comput., Vol. 31, Num. 6, pp. 4041-4065, 2009. DOI: 10.1137/090749694

L. Baffico, C. Grandmont, and B. Maury

Multiscale modelling of the respiratory tract

accepted for publication in M3AS, Download the preprint

M.A. Fernández, J.-F. Gerbeau

Algorithms for fluid-structure interaction problems

Chapter 9 of Cardiovascular Mathematics. L. Formaggia, A. Quarteroni, A. Veneziani (Eds.), Springer Verlag, 2009.

E. Burman, A. Ern, M.A. Fernández

Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for first-order linear PDE systems

CERMICS Research Report 409, May 2009

M. Boulakia, S. Cazeau, M.A. Fernández, J.-F. Gerbeau, N. Zemzemi

Mathematical modeling of electrocardiograms: a numerical study

Annals of Biomedical Engineering, 2009. DOI: 10.1007/s10439-009-9873-0

G. Ebrard, M.A. Fernández, J.-F. Gerbeau, F. Rossi, N. Zemzemi

From intracardiac electrograms to electrocardiograms. Models and metamodels.

Lecture Notes in Computer Science, Springer-Verlag, Vol. 5528, pp. 524-533, 2009. Download

D. Chapelle, M.A. Fernández, J.-F. Gerbeau, P. Moireau, J. Sainte-Marie, N. Zemzemi

Numerical simulation of the electromechanical activity of the heart

Lecture Notes in Computer Science, Springer-Verlag, Vol. 5528, pp. 357–365, 2009. Download

M. Astorino, C. Grandmont.

Convergence analysis of a projection semi-implicit coupling scheme for fluid-structure interaction problems

INRIA Research Report RR-6996, Juillet 2009

M.A. Fernández, N. Zemzemi

Decoupled time-marching schemes in computational cardiac electrophysiology and ECG numerical simulation

INRIA Research Report RR-7022, August 2009

HJ Kim, IE Vignon-Clementel, CA Figueroa, JF LaDisa, KE Jansen, JA Feinstein, CA Taylor

On coupling a lumped parameter heart model and a three-dimensional finite element aorta model

Annals of Biomedical Engineering, 37(11):2153-69, 2009, DOI: 10.1007/s10439-009-9760-8

D Drasdo, N Jagiella, I Ramis-Conde, IE Vignon-Clementel, W Weens

Modeling Steps from a Begnin Tumor to an Invasive Cancer: Examples of Instrinsically Multiscale Problems

Chapter 14 of "Cell mechanics: from single scale based models to multiscale modeling". A Chauvière, L Preziosi & C Verdier (Eds),Taylor & Francis, 2010

I. 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

Computer Methods in Biomechanics and Biomedical Engineering, 2010 DOI: 10.1080/10255840903413565

E. Burman, M.A. Fernández

Analysis of the PSPG method for the transient Stokes’ problem

INRIA Research Report RR-7074, October 2009

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

Computational Mechanics, 2009 DOI: 10.1007/s00466-009-0452-x

2008

N. Diniz Dos Santos, J.-F. Gerbeau, J.F. Bourgat

A partitioned fluid-structure algorithm for elastic thin valves with contact

Comp. Meth. Appl. Mech. Engng., Vol. 197, Num. 19-20, p. 1750-1761, 2008. Download the preprint RR-6022

M.A. Fernández, J.-F. Gerbeau, V. Martin

Numerical simulation of blood flows through a porous interface

M2AN Math. Model. Numer. Anal., vol. 42, p. 961-990, 2008. DOI: 10.1051/m2an:2008031

L. Baffico, C. Grandmont, Y. Maday and A. Osses

Homogenization of elastic media with gaseous inclusions

Multiscale Model. Simul., 7, no. 1, 432—465, 2008, Download the preprint

E. Burman, M.A. Fernández

Galerkin finite element methods with symmetric pressure stabilization for the transient Stokes’ equations: stability and convergence analysis

SIAM J. Numer. Anal., Vol 47, Num. 1, pp. 409-439, 2008. DOI: 10.1137/070707403

M. Boulakia, M.A. Fernández, J.-F. Gerbeau, N. Zemzemi

A coupled system of PDEs and ODEs arising in electrocardiograms modelling

AMRX. Appl. Math. Res. Express, (2008) Vol. 2008 : article ID abn002. DOI: 10.1093/amrx/abn002

T. Colin, G. Gallice, G. Ebrard

Interaction of laser beams with a plasma.

To appear in M3AS, 2008.

T. Colin, G. Gallice, G. Ebrard

Semidiscretization in time for Nonlinear Zakharov-waves equations.

To appear in DCDS-B, 2008.

M. Astorino, J.-F. Gerbeau, O. Pantz, K.-F. Traoré

Fluid-Structure Interaction and multi-body contact. Application to the aortic valves

To appear in Comp. Meth. Appl. Mech. Engng., DOI: 10.1016/j.crma.2008.09.012 (INRIA Research Report RR-6583, 2008)

M.A. Fernández, J.-F. Gerbeau, A. Gloria, M. Vidrascu

A partitioned Newton method for the interaction of a fluid and a 3D shell structure

INRIA Research Report RR-6623, August 2008

C. Grandmont

Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate

SIAM J. Math. Anal., 40 , no. 2, 716—737, 2008, Download the preprint

2007

M.A. Fernández, J.-F. Gerbeau, C. Grandmont

A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid

Internat. J. Numer. Methods Engrg., 69(4), 794—821, 2007. DOI: 10.1002/nme.1792

E. Burman, M.A. Fernández

Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence

Numer. Math., Vol. 107, Num. 1, pp. 39-77, 2007. DOI: 10.1007/s00211-007-0070-5

A. Marsden, I. Vignon-Clementel, F. Chan, J. Feinstein and C. Taylor

Effects of Exercise and Respiration on Hemodynamic Efficiency in CFD Simulations of the Total Cavopulmonary Connection

Ann. Biomed. Eng., 35(2), p. 250-263, 2007 download, DOI:10.1007/s10439-006-9224-3

M. Belhadj, E. Cancès, J.F. Gerbeau, A. Mikelic

Homogenization approach to filtration through a fibrous medium

Networks and Heterogeneous Media, 529-550, 2(3), 2007

E. Burman, M.A. Fernández

Stabilized explicit coupling for fluid-structure interaction using Nitsche’s method

C. R. Acad. Sci. Paris Sér. I Math.. vol. 345, num. 8, pp. 467-472, 2007. DOI: 10.1016/j.crma.2007.09.010

C. Grandmont, Y. Maday, P. Métier

Modeling and analysis of an elastic problem with large displacements and small strains

J. Elasticity 87, 1, 29-72, 2007

2006

M.A. Fernández, J.-F. Gerbeau, C. Grandmont

A projection algorithm for fluid-stucture interaction problems with strong added-mass effect

C. R. Acad. Sci. Paris Sér. I Math., vol. 342, num. 4, pp. 279-28, 2006. DOI: 10.1016/j.crma.2005.12.017

E. Burman, M.A. Fernández, P. Hansbo

Continuous interior penalty finite element method for Oseen’s equations

SIAM J. Numer. Anal., vol. 44, num. 3, pp. 248-1274, 2006. DOI: 0.1137/040617686

I. Vignon-Clementel , C. Figueroa, K. Jansen, C. Taylor

Outflow Boundary Conditions for Three-dimensional Finite Element Modeling of Blood Flow and Pressure in Arteries

Computer Methods in Applied Mechanics and Engineering, vol. 195, p. 3776-3796, 2006 download, DOI:10.1016/j.cma.2005.04.014

C. Figueroa, I. Vignon-Clementel , K. Jansen, T. Hughes, C. Taylor

A Coupled Momentum Method for Modeling Blood Flow in Three-dimensional Deformable Arteries

Computer Methods in Applied Mechanics and Engineering, vol. 195, p. 5685-5706, 2006 download, DOI:10.1016/j.cma.2005.11.011

J. Yeung, H. Kim, T. Abbruzzese, I. Vignon-Clementel , M. Draney, K. Yeung, J. Karwowski, I. Perkash, R. Herfkens, C. Taylor, R. Dalman

Aortoiliac hemodynamic and morphologic adaptation to chronic spinal cord injury

Journal of Vascular Surgery, vol. 44, 6, 2006 download

C. Grandmont, B. Maury, N. Meunier

A viscoelastic model with non-local damping application to the human lungs

M2AN Math. Model. Numer. Anal., 40, 1, 201-224, 2006

2005

P. Causin, J.F. Gerbeau, F. Nobile

Added-mass effect in the design of partitioned algorithms for fluid-structure problems

Comp. Meth. Appl. Mech. Engng., 194, Num. 42-44, p. 4506-4527, 2005,
Download the preprint RR-5084

J.-F. Gerbeau, M. Vidrascu, P. Frey

Fluid-Structure Interaction in Blood Flows on Geometries coming from Medical Imaging

Computers and Structure, Vol. 83, Num 2-3, p. 155-165, 2005 Download the preprint RR-5052

M.A. Fernández, M. Moubachir

A Newton method using exact jacobians for solving fluid-structure coupling

Comput. & Structures, vol. 83, num. 2-3, pp. 127-142, 2005. DOI: 10.1016/j.compstruc.2004.04.021

M.A. Fernández, V. Milisic, A. Quarteroni

Analysis of a geometrical multiscale blood flow model based on the coupling of ODE’s and hyperbolic PDE’s

SIAM J. on Multiscale Model. Simul., vol. 4, num. 1, pp. 215-236, 2005. DOI: 0.1137/030602010

A. Chambolle, B. Desjardins, M. Esteban, C. Grandmont

Existence of weak solutions for an unsteady fluid-plate interaction problem

J. Math. Fluid Mech., 7, 368-404, 2005

P. Causin, N. Diniz dos Santos, J.-F. Gerbeau, C. Guivier, P. Métier

An embedded surface method for valve simulation. Application to stenotic aortic valve estimation

ESAIM Proc., Vol. 14, p. 48-62, 2005

V. Martin, F. Clément, A. Decoene, J.-F. Gerbeau

Parameter identification for a one-dimensional blood flow model

ESAIM Proc., Vol. 14, p. 174-201, 2005

2004

J.-F. Gerbeau, T. Lelièvre, C. Le Bris

Modeling and simulation of the industrial production of aluminium

Computers and fluids, Vol. 33, p. 801-814, 2004

I. Vignon, C.A. Taylor

Outflow Boundary Conditions for One-dimensional Finite Element Modeling of Blood Flow and Pressure Waves in Arteries

Wave Motion. Vol. 39, pp. 361-374, 2004. doi:10.1016/j.wavemoti.2003.12.009

T. Colin, G. Gallice, G. Ebrard, B. Texier

Justification of the Zakharov model from Klein-Gordon-waves systems.

Comm. Part. Diff., 29(9-10), 1365-1401, 2004.

2003

M.A. Fernández, P. Le Tallec

Linear fluid-structure stability analysis with transpiration. Part I: formulation and mathematical analysis.

Comput. Methods Appl. Mech. Engrg., vol. 192, num. 43, pp. 4805-4835, 2003. DOI: 10.1016/j.cma.2003.07.001

M. Belhadj, J.-F. Gerbeau, B. Perthame

A multiscale colloid transport model with anistropic degenerate diffusion

Asymptotic Analysis, Vol. 34, Num. 1, p. 41-54, 2003 Download the preprint RR-4468

J.-F. Gerbeau, M. Vidrascu

A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows

Mathematical Modelling and Numerical Analysis (M2AN), Vol. 37, Num. 4, p. 663-680, 2003. Download the preprint RR-4691

J.-F. Gerbeau, C. Le Bris, T. Lelièvre

Simulations of MHD flows with moving interfaces

Journal of Computational Physics, Vol. 184, Num. 1, p. 163-191, 2003. Download the preprint RR-4277

M.A. Fernández, P. Le Tallec

Linear fluid-structure stability analysis with transpiration. Part II: numerical analysis and applications

Comput. Methods Appl. Mech. Engrg., vol. 192, num. 43, pp. 4837-4873, 2003. DOI: 10.1016/j.cma.2003.08.001

S. Deparis, M.A. Fernández, L. Formaggia

Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions

M2AN Math. Model. Numer. Anal., vol. 37, num. 4, pp. 601-616, 2003. DOI: 10.1051/m2an:2003050

M.A. Fernández, M. Moubachir

An exact Block-Newton algorithm for the solution of implicit time discretized coupled systems involved in fluid-structure interaction problems.

C. R. Acad. Sci. Paris, Série I, t. 336, pp. 681-686, 2003. DOI: 10.1016/S1631-073X(03)00151-1

P. Geuzaine, C. Grandmont, C. Farhat

Design and analysis of ALE schemes with provable second-order time-accuracy for inviscid and viscous flow simulations

J. of Comput. Phys., 191, 1, 206-227, 2003

2002

L. Formaggia, J.-F. Gerbeau, F. Nobile, A. Quarteroni

Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations

SIAM Journal on Numerical Analysis, Vol. 40, Num. 1, p. 376-401, 2002.Download the preprint RR-4093

M.A. Fernández, M. Moubachir

Sensitivity analysis for an incompressible aeroelastic system.

Math. Models Methods Appl. Sci., vol. 12, num. 8, pp. 1109-1130, 2002. DOI: 10.1142/S0218202502002094

M.A. Fernández, P. Le Tallec

Un nouveau problème spectral en interaction fluide-structure avec transpiration. (French) [A new spectral problem in fluid-structure interaction with transpiration]

C. R. Acad. Sci. Paris, Série I, t. 334, pp. 167-172, 2002. DOI: 10.1016/S1631-073X(02)02236-7

C. Grandmont

Existence for a three-dimensional steady state fluid-structure interaction problem

J. Math. Fluid Mech. 4, 1, 76-94, 2002

C. Grandmont, Y. Maday, P. Métier

Existence of a solution for an unsteady elasticity problem in large displacement and small perturbation

C.R.A.S. Sér. I Math, 334, 6, 521-526, 2002

2001

J.-F. Gerbeau, B. Perthame

Derivation of Viscous Saint-Venant System for Laminar Shallow Water; Numerical Validation

Discrete and Continuous Dynamical Systems, Ser. B, Vol. 1, Num. 1, 89—102, 2001, Download the preprint RR-4084

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

Computer Methods in Applied Mechanics and Engineering, Vol. 191, Num. 6-7, p. 561-582, 2001. Download the preprint RR-3862

M.A. Fernández, M. Moubachir

Étude de sensibilité d’un système mécanique en interaction fluide-structure. (French) [Investigation of sensivity analysis for a fluid-structure interaction system]

C. R. Acad. Sci. Paris, Série I, t. 333, pp. 487-492, 2001. DOI: 10.1016/S0764-4442(01)02081-X

C. Farhat, P. Geuzaine, C. Grandmont

The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids

J. Comput. Phys. 174, 2, 669-694, 2001

B. Desjardins, M. J. Esteban, C. Grandmont, P. Le Tallec

Weak Solutions for a Fluid-Elastic Structure Interaction Model

Rev. Mat. Complut. 14, 2, 523-538, 2001

2000

J.-F. Gerbeau

A stabilized finite element method for the incompressible magnetohydrodynamic equations

Numerische Mathematik, Vol. 87, num. 1, p. 83-111, 2000.

J.-F. Gerbeau, C. Le Bris

Mathematical study of a coupled system arising in magnetohydrodynamics

p. 355-367, Lecture Notes in Pure and Applied Sciences, vol. 215, Marcel Dekker, 2000

J.-F. Gerbeau, C. Le Bris

A basic remark on some Navier-Stokes equations with body forces

Applied Mathematics Letters, Vol. 13, p 107-112, 2000

J.-F. Gerbeau, C. Le Bris

J.-F. Gerbeau, C. Le Bris, Comparison between two numerical methods for a magnetostatic problem

Calcolo, Vol. 37, p. 1-20, 2000

T. Fanion, M.A. Fernández, P. Le Tallec

Deriving adequate formulations for fluid-structure interaction problems: from ALE to transpiration

Rev. Européenne Élém. Finis, vol. 9, num. 6-7, pp. 681-708, 2000

C. Grandmont, Y. Maday, V. Guimet

Numerical analysis of some decoupling techniques for the approximation of the unsteady fluid-structure interaction,

Math. Models Methods Appl. Sci. 11,8, 1349-1377, 2000

C. Grandmont, Y. Maday

Existence for an unsteady fluid-structure interaction problem

M2AN Math. Model. Numer. Anal., 34, 3, 609-636, 2000

C. Grandmont, Y. Maday

Fluid-structure interaction: a theoretical point of view

Rev. Européenne Elém. Finis, Vol 9, no.6-7, 633-653, 2000.

1999

J.-F. Gerbeau, C. Le Bris

On a coupled system arising in Magnetohydrodynamics

Applied Mathematics Letters, Vol. 12, num. 3, p. 427-452, may 1999

1998

C. Grandmont, Y. Maday

Existence de solutions d’un problème de couplage fluide-structure bidimensionnel instationnaire

C. R. A. S. Sr. I Math. 326, 4, 525-530, 1998

C. Grandmont

Existence et unicité de solutions d’un problème de couplage fluide-structure bidimensionnel stationnaire

C. R. A. S. Sér. I Math., 326, 5, 651-656, 1998

1997

J.-F. Gerbeau, C. Le Bris, M. Bercovier

Spurious velocities in the steady flow of an incompressible fluid subjected to external forces

International Journal for Numerical Methods in Fluids, vol. 25, p. 679-695, oct. 1997

J.-F. Gerbeau, C. Le Bris

Existence of solution for a density-dependent magnetohydrodynamic equation

Advances in Differential Equations, vol. 2, number 3, p. 427-452, may 1997

Book

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J.-F. Gerbeau, C. Le Bris, T. Lelièvre

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Oxford University Press, 2006

PhD Thesis

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I. Vignon-Clementel

A Coupled Multidomain Method for Computational Modeling of Blood Flow

Ph.D., Department of Mechanical Engineering, Stanford University, 2006 download

Proceedings

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M. Boulakia, M.A. Fernández, J.-F. Gerbeau, N. Zemzemi

Direct and Inverse problems in Electrocardiography

AIP Conference Proceedings, pp. 113-117, AIP 2008.Download

M. Boulakia, M.A. Fernández, J.-F. Gerbeau, N. Zemzemi

Towards the numerical simulation of electrocardiograms

In Proceedings of the Fourth International Conference on Functional Imaging and Modeling of the Heart (FIMH07), F.B. Sachse, G. Seemann Eds., pp. 420-429, Springer, 2007.