Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation (Q2946186)

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English	Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation	scientific article

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title

Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation (English)

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zbMATH Open document ID

1371.74086

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DOI

10.1007/978-3-0348-0822-4_2

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Fluid-Structure Interaction and Biomedical Applications

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publication date

16 September 2015

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Mathematics Subject Classification ID

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ALE method

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discontinuous Galerkin method

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Navier-Stokes equations

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stabilized finite element method

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operator splitting

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-0348-0822-4_2

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An added-mass free semi-implicit coupling scheme for fluid-structure interaction

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Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics

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A fictitious domain/mortar element method for fluid-structure interaction

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Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction

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Fluid-structure partitioned procedures based on Robin transmission conditions

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Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems

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Q2923491

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Smoothness of weak solutions to a nonlinear fluid-structure interaction model

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Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling

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Isogeometric fluid-structure interaction analysis with applications to arterial blood flow

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Isogeometric fluid-structure interaction: Theory, algorithms, and computations

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On the existence of strong solutions to a coupled fluid-structure evolution problem

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Capillary surfaces and floating bodies

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Existence of weak solutions for the motion of an elastic structure in an incompressible viscous fluid.

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Longitudinal displacement in viscoelastic arteries: a novel fluid-structure interaction computational model, and experimental validation

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A modular, operator‐splitting scheme for fluid–structure interaction problems with thick structures

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An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure

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A partitioned scheme for fluid-composite structure interaction problems

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Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility

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Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi-symmetric vessels

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Modeling Viscoelastic Behavior of Arterial Walls and Their Interaction with Pulsatile Blood Flow

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Stability of the kinematically coupled \beta-scheme for fluid-structure interaction problems in hemodynamics

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Added-mass effect in the design of partitioned algorithms for fluid--structure problems

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On the computational efficiency and implementation of block‐iterative algorithms for nonlinear coupled problems

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Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate

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Navier–Stokes Equations Interacting with a Nonlinear Elastic Biofluid Shell

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The Interaction of the 3D Navier–Stokes Equations with a Moving Nonlinear Koiter Elastic Shell

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Un modèle bi-dimensionnel non linéaire de coque analogue à celui de W.T. Koiter

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An existence theorem for nonlinearly elastic `flexural' shells

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Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations

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Justification d'un modèle bi-dimensionnel non linéaire de coque analogue à celui de W.T. Koiter

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Motion of a rigid body in a viscous fluid

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Eulerian formulation and level set models for incompressible fluid-structure interaction

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Motion of an elastic solid inside an incompressible viscous fluid

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The interaction between quasilinear elastodynamics and the Navier-Stokes equations

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Well posedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid

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Small but finite amplitude waves in a prestressed viscoelastic thin tube filled with an inviscid fluid

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Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions

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Fluid-structure algorithms based on Steklov-Poincaré operators

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Existence of weak solutions for the motion of rigid bodies in a viscous fluid

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Weak solutions for a fluid-elastic structure interaction model

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A classification of thin shell theories

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Analysis of a linear fluid-structure interaction problem

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Semidiscrete Finite Element Approximations of a Linear Fluid-Structure Interaction Problem

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BIOFLUIDMECHANICS OF REPRODUCTION

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On the motion of rigid bodies in a viscous compressible fluid

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The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems

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Incremental displacement-correction schemes for the explicit coupling of a thin structure with an incompressible fluid

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Incremental displacement-correction schemes for incompressible fluid-structure interaction. Stability and convergence analysis

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Displacement-velocity correction schemes for incompressible fluid-structure interaction

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A projection algorithm for fluid-structure interaction problems with strong added-mass effect

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A coupled momentum method for modeling blood flow in three-dimensional deformable arteries

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Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution

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On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels

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Q4409405

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Q3502613

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Steady flow of a Navier-Stokes liquid past an elastic body

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The steady motion of a Navier-Stokes liquid around a rigid body

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ORIENTATION OF SYMMETRIC BODIES FALLING IN A SECOND-ORDER LIQUID AT NONZERO REYNOLDS NUMBER

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A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows

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Q4426677

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Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate

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On the Volume Conservation of the Immersed Boundary Method

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Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow

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A kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow

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Continuous dependence on initial data in fluid-structure motions

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Nitsche's method for interface problems in computa-tional mechanics

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Exact Controllability and Stabilization of a Vibrating String with an Interior Point Mass

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Q5494023

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An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems.

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Lagrangian-Eulerian finite element formulation for incompressible viscous flows

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On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid

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Kinematic splitting algorithm for fluid-structure interaction in hemodynamics

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Q5615316

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Strong solutions for a fluid structure interaction system

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Solutions to a fluid-structure interaction free boundary problem

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Well-posedness for the compressible Navier–Stokes–Lamé system with a free interface

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Fluid-structure interaction with large structural displacements

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Weak Solutions for An Incompressible, Generalized Newtonian Fluid Interacting with a Linearly Elastic Koiter Type Shell

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Weak solutions for an incompressible Newtonian fluid interacting with a Koiter type shell

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Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces

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Existence of Strong Solutions to a Fluid-Structure System

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Existence of strong solutions for a system coupling the Navier-Stokes equations and a damped wave equation

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Simulations of the Whirling Instability by the Immersed Boundary Method

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Q5628582

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Unsteady Stokes Flow in a Distensible Pipe

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Numerical Efficiency of Different Partitioned Methods for Fluid‐Structure Interaction

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A monolithic approach to fluid-structure interaction

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A note on the trace theorem for domains which are locally subgraph of a Hölder continuous function

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Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls

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A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof

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Existence of a solution to a fluid-multi-layered-structure interaction problem

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A fast method for solving fluid–structure interaction problems numerically

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An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions

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Numerical analysis of blood flow in the heart

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A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid

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A SEMI-IMPLICIT APPROACH FOR FLUID-STRUCTURE INTERACTION BASED ON AN ALGEBRAIC FRACTIONAL STEP METHOD

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Computational vascular fluid dynamics: problems, models and methods

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Polynomial decay for a hyperbolic-parabolic coupled system

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Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid

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Compact sets in the space \(L^ p(0,T;B)\)

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Sur la résolution exacte et approchee d'un problème hyperbolique non linéaire de T. Carleman

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Q4163866

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A combined fictitious domain/adaptive meshing method for fluid–structure interaction in heart valves

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Nonlinear weakly curved rod by \(\Gamma \)-convergence

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Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction

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Mathematics(1 entry)

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