A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 4, pp. 631-647.

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.

DOI: 10.1051/m2an:2003049
Classification: 65M60,  74K25,  76D05,  76Z05
Keywords: fluid-structure interaction, quasi-Newton algorithm, added mass effect, blood flows
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     title = {A {quasi-Newton} algorithm based on a reduced model for fluid-structure interaction problems in blood flows},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
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Gerbeau, Jean-Frédéric; 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 - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 4, pp. 631-647. doi : 10.1051/m2an:2003049. http://www.numdam.org/articles/10.1051/m2an:2003049/

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