Analysis of a Coupled Fluid-Structure Model with Applications to Hemodynamics
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Publication:2798653
DOI10.1137/140991509zbMath1343.35184OpenAlexW2316538455MaRDI QIDQ2798653
Olivier Pironneau, François Murat, Vivette Girault, Tómas Chacón-Rebollo
Publication date: 13 April 2016
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://idus.us.es/handle/11441/47879
convergence analysisNavier-Stokes equationsfinite element methodfluid-structure interactionblood flowcompliant walls
Navier-Stokes equations for incompressible viscous fluids (76D05) Shells (74K25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Physiological flows (76Z05) Physiological flow (92C35)
Related Items (10)
Convergence analysis and error estimate of finite element method of a nonlinear fluid-structure interaction problem ⋮ A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents ⋮ Analysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interaction ⋮ Analysis of a linear 3D fluid-mesh-shell interaction problem ⋮ Boundary conditions for planar Stokes equations inducing vortices around concave corners ⋮ A simplified fluid-structure model for arterial flow. Application to retinal hemodynamics ⋮ Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics ⋮ Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function ⋮ Sharp Decay Estimates for Semigroups Associated with Some One-Dimensional Fluid-Structure Interactions Involving Degeneracy ⋮ Regularity of a weak solution to a linear fluid-composite structure interaction problem
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Cites Work
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- Wrinkle development analysis in thin sail-like structures using MITC shell finite elements
- Continuous dependence on initial data in fluid-structure motions
- Second order modified method of characteristics mixed defect-correction finite element method for time dependent Navier-Stokes problems
- A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks
- Convergence analysis of a projection semi-implicit coupling scheme for fluid-structure interaction problems
- Pressure boundary conditions for blood flows
- On the stability of bilinear-constant velocity-pressure finite elements
- Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- A kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow
- Compact sets in the space \(L^ p(0,T;B)\)
- A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid
- Neumann and mixed problems on curvilinear polyhedra
- Numerical analysis of blood flow in the heart
- On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
- Image-based large-eddy simulation in a realistic left heart
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries
- Mathematical and numerical foundations of turbulence models and applications
- Kinematic splitting algorithm for fluid-structure interaction in hemodynamics
- Explicit Robin-Neumann schemes for the coupling of incompressible fluids with thin-walled structures
- Added-mass effect in the design of partitioned algorithms for fluid--structure problems
- Comparisons between reduced order models and full 3D models for fluid-structure interaction problems in haemodynamics
- On the Weak Solution of the Fluid-Structure Interaction Problem for Shear-Dependent Fluids
- Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation
- Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type
- Clinical application of image-based CFD for cerebral aneurysms
- On Error Analysis for the 3D Navier–Stokes Equations in Velocity-Vorticity-Helicity Form
- The immersed boundary method
- The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier
- Stability of the kinematically coupled \beta-scheme for fluid-structure interaction problems in hemodynamics
- On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations
- An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions
- Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate
- Finite Element Methods for Navier-Stokes Equations
- Incompressible Finite Element Methods for Navier-Stokes Equations with Nonstandard Boundary Conditions in R 3
- Vector potentials in three-dimensional non-smooth domains
- A high-order characteristics/finite element method for the incompressible Navier-Stokes equations
- Deriving Adequate Formulations for Fluid-Structure Interaction Problems: from ALE to Transpiration
- Staggered Schemes for Fluctuating Hydrodynamics
- New development in freefem++
- On optimum profiles in Stokes flow
- Shape optimization for viscous flows by reduced basis methods and free‐form deformation
- $L^p$ Convergence of the Immersed Boundary Method for Stationary Stokes Problems
- Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
- Fluid-structure interaction with large structural displacements
- On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
- The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids.
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