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Partitioned solution of an unsteady adjoint for strongly coupled fluid-structure interactions and application to parameter identification of a one-dimensional problem
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Explicit Robin–Neumann schemes for the coupling of incompressible fluids with thin-walled structures
Miguel A. Fernández, Jimmy Mullaert and Marina Vidrascu Computer Methods in Applied Mechanics and Engineering 267 566 (2013) https://doi.org/10.1016/j.cma.2013.09.020
Accelerated staggered coupling schemes for problems of thermoelasticity at finite strains
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M. W. Gee, U. Küttler and W. A. Wall International Journal for Numerical Methods in Engineering 85(8) 987 (2011) https://doi.org/10.1002/nme.3001
A monolithic strategy for fluid–structure interaction problems
C. S. Jog and R. K. Pal International Journal for Numerical Methods in Engineering 85(4) 429 (2011) https://doi.org/10.1002/nme.2976
Nonlinear fluid–structure interaction problem. Part I: implicit partitioned algorithm, nonlinear stability proof and validation examples
Christophe Kassiotis, Adnan Ibrahimbegovic, Rainer Niekamp and Hermann G. Matthies Computational Mechanics 47(3) 305 (2011) https://doi.org/10.1007/s00466-010-0545-6
Fluid–structure interaction for non-conforming interfaces based on a dual mortar formulation
Thomas Klöppel, Alexander Popp, Ulrich Küttler and Wolfgang A. Wall Computer Methods in Applied Mechanics and Engineering 200(45-46) 3111 (2011) https://doi.org/10.1016/j.cma.2011.06.006
Convergence analysis of a projection semi-implicit coupling scheme for fluid–structure interaction problems
A Preconditioner for the Finite Element Approximation to the Arbitrary Lagrangian–Eulerian Navier–Stokes Equations
David Nordsletten, Nicolas Smith and David Kay SIAM Journal on Scientific Computing 32(2) 521 (2010) https://doi.org/10.1137/08072958X
Coupling strategies for biomedical fluid–structure interaction problems
U. Küttler, M. Gee, Ch. Förster, A. Comerford and W. A. Wall International Journal for Numerical Methods in Biomedical Engineering 26(3-4) 305 (2010) https://doi.org/10.1002/cnm.1281
Performance evaluation of nonlinear algorithms with line‐search for partitioned coupling techniques for fluid–structure interactions
S. Minami and S. Yoshimura International Journal for Numerical Methods in Fluids 64(10-12) 1129 (2010) https://doi.org/10.1002/fld.2274
A partitioned Newton method for the interaction of a fluid and a 3D shell structure
Miguel Ángel Fernández, Jean-Frédéric Gerbeau, Antoine Gloria and Marina Vidrascu European Journal of Computational Mechanics 19(5-7) 479 (2010) https://doi.org/10.3166/ejcm.19.479-512
Towards computational modelling of aortic stenosis
R. van Loon International Journal for Numerical Methods in Biomedical Engineering 26(3-4) 405 (2010) https://doi.org/10.1002/cnm.1270
Simulation of fluid–structure interaction with the interface artificial compressibility method
Joris Degroote, Abigail Swillens, Peter Bruggeman, Robby Haelterman, Patrick Segers and Jan Vierendeels International Journal for Numerical Methods in Biomedical Engineering 26(3-4) 276 (2010) https://doi.org/10.1002/cnm.1276
Michael R. Dörfel and Bernd Simeon 307 (2010) https://doi.org/10.1007/978-3-642-11795-4_32
New Trends in Thin Structures: Formulation, Optimization and Coupled Problems
W. A. Wall, U. Küttler, A. Gerstenberger, M. Gee and Ch. Förster CISM International Centre for Mechanical Sciences, New Trends in Thin Structures: Formulation, Optimization and Coupled Problems 519 175 (2010) https://doi.org/10.1007/978-3-7091-0231-2_7
Modeling of blood flow in arterial trees
Tomer Anor, Leopold Grinberg, Hyoungsu Baek, Joseph R. Madsen, Mahesh V. Jayaraman and George E. Karniadakis WIREs Systems Biology and Medicine 2(5) 612 (2010) https://doi.org/10.1002/wsbm.90
Monolithic stabilized finite element method for rigid body motions in the incompressible Navier-Stokes flow
Flow rate boundary problems for an incompressible fluid in deformable domains: Formulations and solution methods
Luca Formaggia, Alessandro Veneziani and Christian Vergara Computer Methods in Applied Mechanics and Engineering 199(9-12) 677 (2010) https://doi.org/10.1016/j.cma.2009.10.017
Performance of partitioned procedures in fluid–structure interaction
Bubble simulations with an interface tracking technique based on a partitioned fluid–structure interaction algorithm
J. Degroote, P. Bruggeman, R. Haelterman and J. Vierendeels Journal of Computational and Applied Mathematics 234(7) 2303 (2010) https://doi.org/10.1016/j.cam.2009.08.096
Stable loosely-coupled-type algorithm for fluid–structure interaction in blood flow
Giovanna Guidoboni, Roland Glowinski, Nicola Cavallini and Suncica Canic Journal of Computational Physics 228(18) 6916 (2009) https://doi.org/10.1016/j.jcp.2009.06.007
Stabilization of explicit coupling in fluid–structure interaction involving fluid incompressibility
Fluid–structure interaction and multi-body contact: Application to aortic valves
Matteo Astorino, Jean-Frédéric Gerbeau, Olivier Pantz and Karim-Frédéric Traoré Computer Methods in Applied Mechanics and Engineering 198(45-46) 3603 (2009) https://doi.org/10.1016/j.cma.2008.09.012
Fluid–structure interaction problems with strong added‐mass effect
S. R. Idelsohn, F. Del Pin, R. Rossi and E. Oñate International Journal for Numerical Methods in Engineering 80(10) 1261 (2009) https://doi.org/10.1002/nme.2659
Vector Extrapolation for Strong Coupling Fluid-Structure Interaction Solvers
Robin–Robin preconditioned Krylov methods for fluid–structure interaction problems
Santiago Badia, Fabio Nobile and Christian Vergara Computer Methods in Applied Mechanics and Engineering 198(33-36) 2768 (2009) https://doi.org/10.1016/j.cma.2009.04.004
A partitioned fluid–structure algorithm for elastic thin valves with contact
N. Diniz dos Santos, J.-F. Gerbeau and J.-F. Bourgat Computer Methods in Applied Mechanics and Engineering 197(19-20) 1750 (2008) https://doi.org/10.1016/j.cma.2007.03.019
An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions
Modular vs. non-modular preconditioners for fluid–structure systems with large added-mass effect
Santiago Badia, Annalisa Quaini and Alfio Quarteroni Computer Methods in Applied Mechanics and Engineering 197(49-50) 4216 (2008) https://doi.org/10.1016/j.cma.2008.04.018
Arterial fluid mechanics modeling with the stabilized space–time fluid–structure interaction technique
Tayfun E. Tezduyar, Sunil Sathe, Matthew Schwaab and Brian S. Conklin International Journal for Numerical Methods in Fluids 57(5) 601 (2008) https://doi.org/10.1002/fld.1633
Numerical simulation of blood flows through a porous interface
Miguel A. Fernández, Jean-Frédéric Gerbeau and Vincent Martin ESAIM: Mathematical Modelling and Numerical Analysis 42(6) 961 (2008) https://doi.org/10.1051/m2an:2008031
Fluid–structure partitioned procedures based on Robin transmission conditions
Domain Decomposition Methods in Science and Engineering XVI
Simone Deparis, Marco Discacciati, Gilles Fourestey and Alfio Quarteroni Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XVI 55 41 (2007) https://doi.org/10.1007/978-3-540-34469-8_4
Modelling of fluid–structure interactions with the space–time finite elements: Arterial fluid mechanics
Tayfun E. Tezduyar, Sunil Sathe, Timothy Cragin, Bryan Nanna, Brian S. Conklin, Jason Pausewang and Matthew Schwaab International Journal for Numerical Methods in Fluids 54(6-8) 901 (2007) https://doi.org/10.1002/fld.1443
Implicit coupling of partitioned fluid–structure interaction problems with reduced order models
Modelling of fluid–structure interactions with the space–time finite elements: Solution techniques
Tayfun E. Tezduyar and Sunil Sathe International Journal for Numerical Methods in Fluids 54(6-8) 855 (2007) https://doi.org/10.1002/fld.1430
A projection semi‐implicit scheme for the coupling of an elastic structure with an incompressible fluid
M. A. Fernández, J.‐F. Gerbeau and C. Grandmont International Journal for Numerical Methods in Engineering 69(4) 794 (2007) https://doi.org/10.1002/nme.1792
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations
Luca Formaggia, Alexandra Moura and Fabio Nobile ESAIM: Mathematical Modelling and Numerical Analysis 41(4) 743 (2007) https://doi.org/10.1051/m2an:2007039
A SEMI-IMPLICIT APPROACH FOR FLUID-STRUCTURE INTERACTION BASED ON AN ALGEBRAIC FRACTIONAL STEP METHOD
Solution techniques for the fully discretized equations in computation of fluid–structure interactions with the space–time formulations
Tayfun E. Tezduyar, Sunil Sathe and Keith Stein Computer Methods in Applied Mechanics and Engineering 195(41-43) 5743 (2006) https://doi.org/10.1016/j.cma.2005.08.023
Numerical simulation of a pulsatile flow through a flexible channel
A Schur–Newton–Krylov solver for steady-state aeroelastic analysis and design sensitivity analysis
Manuel Barcelos, Henri Bavestrello and Kurt Maute Computer Methods in Applied Mechanics and Engineering 195(17-18) 2050 (2006) https://doi.org/10.1016/j.cma.2004.09.013
Fluid–structure algorithms based on Steklov–Poincaré operators
Simone Deparis, Marco Discacciati, Gilles Fourestey and Alfio Quarteroni Computer Methods in Applied Mechanics and Engineering 195(41-43) 5797 (2006) https://doi.org/10.1016/j.cma.2005.09.029
Loosely Coupled Simulation for Aortic Arch Model under Steady and Pulsatile Flow
Feng GAO, Zhihong GUO, Masahiro WATANABE and Teruo MATSUZAWA Journal of Biomechanical Science and Engineering 1(2) 327 (2006) https://doi.org/10.1299/jbse.1.327
Added-mass effect in the design of partitioned algorithms for fluid–structure problems