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, Tome 37 (2003) no. 4, p. 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 : https://doi.org/10.1051/m2an:2003049
Classification:  65M60,  74K25,  76D05,  76Z05
@article{M2AN_2003__37_4_631_0,
     author = {Gerbeau, Jean-Fr\'ed\'eric and Vidrascu, Marina},
     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},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {4},
     year = {2003},
     pages = {631-647},
     doi = {10.1051/m2an:2003049},
     zbl = {1070.74047},
     mrnumber = {2018434},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2003__37_4_631_0}
}
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, Tome 37 (2003) no. 4, pp. 631-647. doi : 10.1051/m2an:2003049. http://www.numdam.org/item/M2AN_2003__37_4_631_0/

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