An Operator Splitting Approach to the Solution of Fluid-Structure Interaction Problems in Hemodynamics

DOI10.1007/978-3-319-41589-5_22zbMath1451.76150OpenAlexW2569688088MaRDI QIDQ5350494

Martina Bukač, Boris Muha, Sunčica Čanić, Roland Glowinski

Publication date: 1 September 2017

Published in: Splitting Methods in Communication, Imaging, Science, and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-41589-5_22

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Physiological flows (76Z05) Moving boundary problems for PDEs (35R37)

Related Items (7)

Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid–structure interaction problem ⋮ An operator-splitting approach for variational optimal control formulations for diffeomorphic shape matching ⋮ Efficient decoupling schemes for multiscale multicontinuum problems in fractured porous media ⋮ Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid-thin structure interaction problems ⋮ A review on rigorous derivation of reduced models for fluid-structure interaction systems ⋮ Fluid-structure interaction between pulsatile blood flow and a curved stented coronary artery on a beating heart: a four stent computational study ⋮ Diffeomorphic shape matching by operator splitting in 3D cardiology imaging

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