Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction
From MaRDI portal
Publication:2823026
DOI10.1137/16M1055396zbMath1457.65099arXiv1311.5649MaRDI QIDQ2823026
Publication date: 6 October 2016
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.5649
PDEs in connection with fluid mechanics (35Q35) Classical linear elasticity (74B05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (21)
A sharp interface Lagrangian-Eulerian method for rigid-body fluid-structure interaction ⋮ A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents ⋮ Adaptive, second-order, unconditionally stable partitioned method for fluid-structure interaction ⋮ On numerical approximations to fluid-structure interactions involving compressible fluids ⋮ Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis ⋮ Energy-based operator splitting approach for the time discretization of coupled systems of partial and ordinary differential equations for fluid flows: the Stokes case ⋮ A higher-order discontinuous Galerkin/arbitrary Lagrangian Eulerian partitioned approach to solving fluid-structure interaction problems with incompressible, viscous fluids and elastic structures ⋮ Convergence analysis of an unfitted mesh semi-implicit coupling scheme for incompressible fluid-structure interaction ⋮ A non‐iterative domain decomposition method for the interaction between a fluid and a thick structure ⋮ Stability and error analysis of a splitting method using Robin–Robin coupling applied to a fluid–structure interaction problem ⋮ A Second-Order in Time Approximation of Fluid-Structure Interaction Problem ⋮ Decoupling PDE computation with intrinsic or inertial Robin interface condition ⋮ Analysis of a linear 3D fluid-mesh-shell interaction problem ⋮ Compressible fluids interacting with a linear-elastic shell ⋮ Fluid-structure interaction between pulsatile blood flow and a curved stented coronary artery on a beating heart: a four stent computational study ⋮ AMultirateApproachforFluid-StructureInteraction Computation with Decoupled Methods ⋮ Boundary update via resolvent for fluid-structure interaction ⋮ Refactorization of Cauchy's method: a second-order partitioned method for fluid-thick structure interaction problems ⋮ A partitioned numerical scheme for fluid–structure interaction with slip ⋮ Time-adaptive partitioned method for fluid-structure interaction problems with thick structures ⋮ Regularity of a weak solution to a linear fluid-composite structure interaction problem
Cites Work
- Unnamed Item
- Unnamed Item
- A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents
- Generalized fictitious methods for fluid-structure interactions: analysis and simulations
- An analysis of a new stable partitioned algorithm for FSI problems. Part II: Incompressible flow and structural shells
- An analysis of a new stable partitioned algorithm for FSI problems. I: Incompressible flow and elastic solids
- A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping
- Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems
- On the similarity between Dirichlet-Neumann with interface artificial compressibility and Robin-Neumann schemes for the solution of fluid-structure interaction problems
- Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility
- A monolithic Lagrangian approach for fluid-structure interaction problems
- A partitioned scheme for fluid-composite structure interaction problems
- Solvers for large-displacement fluid-structure interaction problems: Segregated versus monolithic approaches
- Isogeometric fluid-structure interaction: Theory, algorithms, and computations
- Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
- Fluid-structure partitioned procedures based on Robin transmission conditions
- A coupled momentum method for modeling blood flow in three-dimensional deformable arteries
- Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows
- An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes
- Incremental displacement-correction schemes for incompressible fluid-structure interaction. Stability and convergence analysis
- 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
- Existence of a solution to a fluid-multi-layered-structure interaction problem
- Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity
- Fluid-structure interaction and biomedical applications
- Kinematic splitting algorithm for fluid-structure interaction in hemodynamics
- 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
- A note on optimal regularity and regularizing effects of point mass coupling for a heat-wave system
- Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect
- Truly monolithic algebraic multigrid for fluid-structure interaction
- Analysis and Optimization of Robin–Robin Partitioned Procedures in Fluid-Structure Interaction Problems
- A Monolithic FEM/Multigrid Solver for an ALE Formulation of Fluid-Structure Interaction with Applications in Biomechanics
- An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure
- Stability of the kinematically coupled \beta-scheme for fluid-structure interaction problems in hemodynamics
- Nitsche's method for interface problems in computa-tional mechanics
- An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions
- Numerical Methods for Fluid-Structure Interaction — A Review
- A modular, operator‐splitting scheme for fluid–structure interaction problems with thick structures
- A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows
- Galerkin Finite Element Methods for Parabolic Problems
This page was built for publication: Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction
