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

Jean-Frédéric Gerbeau; Marina Vidrascu

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 37, Issue: 4, page 631-647
- ISSN: 0764-583X

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topGerbeau, Jean-Frédéric, and Vidrascu, Marina. "A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows." ESAIM: Mathematical Modelling and Numerical Analysis 37.4 (2010): 631-647. <http://eudml.org/doc/194182>.

@article{Gerbeau2010,

abstract = {
We propose a quasi-Newton algorithm for solving
fluid-structure interaction problems. The basic idea of the method is
to build an approximate tangent operator which is cost effective and
which takes into account the so-called added mass effect.
Various test cases show that the method allows a significant reduction
of the computational effort compared to relaxed fixed point
algorithms. We present 2D and 3D fluid-structure simulations performed
either with a simple 1D structure model or with shells in large
displacements.
},

author = {Gerbeau, Jean-Frédéric, Vidrascu, Marina},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Fluid-structure interaction; quasi-Newton algorithm; added
mass effect; blood flows.; approximate tangent operator; added mass effect; shells; large displacements},

language = {eng},

month = {3},

number = {4},

pages = {631-647},

publisher = {EDP Sciences},

title = {A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows},

url = {http://eudml.org/doc/194182},

volume = {37},

year = {2010},

}

TY - JOUR

AU - Gerbeau, Jean-Frédéric

AU - Vidrascu, Marina

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 37

IS - 4

SP - 631

EP - 647

AB -
We propose a quasi-Newton algorithm for solving
fluid-structure interaction problems. The basic idea of the method is
to build an approximate tangent operator which is cost effective and
which takes into account the so-called added mass effect.
Various test cases show that the method allows a significant reduction
of the computational effort compared to relaxed fixed point
algorithms. We present 2D and 3D fluid-structure simulations performed
either with a simple 1D structure model or with shells in large
displacements.

LA - eng

KW - Fluid-structure interaction; quasi-Newton algorithm; added
mass effect; blood flows.; approximate tangent operator; added mass effect; shells; large displacements

UR - http://eudml.org/doc/194182

ER -

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## Citations in EuDML Documents

top- Simone Deparis, Miguel Angel Fernández, Luca Formaggia, Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
- Simone Deparis, Miguel Angel Fernández, Luca Formaggia, Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
- Luca Formaggia, Alexandra Moura, Fabio Nobile, On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations
- Miguel A. Fernández, Jean-Frédéric Gerbeau, Vincent Martin, Numerical simulation of blood flows through a porous interface

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