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Efficient Monolithic Solvers for Fluid-Structure Interaction Applied to Flapping Membranes

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Domain Decomposition Methods in Science and Engineering XXVI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 145))

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Abstract

This work is devoted to the efficient solution of variational-monolithic fluid-structure interaction (FSI) initial-boundary value problems. Solvers for such monolithic systems were developed, e.g., in [2, 3, 5, 7, 9, 11–13, 15]. Due to the interface coupling conditions, the development of robust scalable parallel solvers remains a challenging task, and to the best of our knowledge only semi-cost optimal parallel approaches could be derived [4, 9]. The main purpose of this work consists in further numerical studies of the solver, developed in [9], for a benchmark problem that is motivated by hemodynamic applications. Specifically, we consider channel flow with elastic membranes and elastic solid walls.

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Correspondence to D. Jodlbauer .

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Jodlbauer, D., Langer, U., Wick, T. (2022). Efficient Monolithic Solvers for Fluid-Structure Interaction Applied to Flapping Membranes. In: Brenner, S.C., Chung, E., Klawonn, A., Kwok, F., Xu, J., Zou, J. (eds) Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol 145. Springer, Cham. https://doi.org/10.1007/978-3-030-95025-5_34

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