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Fluid-Structure Interaction and Biomedical Applications
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SYSNO ASEP 0435828 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title Mathematical and numerical analysis of some FSI problems Author(s) Grandmont, C. (FR)
Lukáčová-Medviďová, M. (SK)
Nečasová, Šárka (MU-W) RID, SAI, ORCIDSource Title Fluid-Structure Interaction and Biomedical Applications. - Basel : Birkhäuser, 2014 / Bodnár T, ; Galdi G. P. ; Nečasová Š. - ISBN 978-3-0348-0821-7 Pages s. 1-77 Number of pages 77 s. Number of copy 500 Number of pages 569 Publication form Print - P Language eng - English Country CH - Switzerland Keywords ALE method ; elastic structure ; existence of the weak solution Subject RIV BA - General Mathematics R&D Projects GAP201/11/1304 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 DOI 10.1007/978-3-0348-0822-4_1 Annotation In this chapter we deal with some specific existence and numerical results applied to a 2D/1D fluid–structure coupled model, for an incompressible fluid and a thin elastic structure. We will try to underline some of the mathematical and numerical difficulties that one may face when studying this kind of problems such as the geometrical nonlinearities or the added mass effect. In particular we will point out the link between the strategies of proof of weak or strong solutions and the possible algorithms to discretize these type of coupled problems. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2015
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