Existence, uniqueness, and approximation of a fictitious domain formulation for fluid-structure interactions
DOI10.4171/RLM/966zbMath1498.65156arXiv2104.13624OpenAlexW3159294289WikidataQ114021391 ScholiaQ114021391MaRDI QIDQ2154797
Publication date: 15 July 2022
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.13624
Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite difference methods applied to problems in fluid mechanics (76M20) Viscoelastic fluids (76A10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition
- A fluid-structure model coupling the Navier-Stokes equations and the Lamé system
- On the interaction problem between a compressible fluid and a Saint-Venant Kirchhoff elastic structure
- A fictitious domain approach with Lagrange multiplier for fluid-structure interactions
- A DLM/FD method for fluid/flexible-body interactions
- Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
- The interaction between quasilinear elastodynamics and the Navier-Stokes equations
- Unconditionally stable discretizations of the immersed boundary equations
- On the hyperelastic formulation of the immersed boundary method
- Lagrangian-Eulerian finite element formulation for incompressible viscous flows
- Existence of weak solutions for the motion of rigid bodies in a viscous fluid
- Some observations on Babuška and Brezzi theories
- On the motion of rigid bodies in a viscous compressible fluid
- On the existence of strong solutions to a coupled fluid-structure evolution problem
- Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid
- Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions
- An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes
- Motion of an elastic solid inside an incompressible viscous fluid
- Error analysis of a fictitious domain method applied to a Dirichlet problem
- A fictitious domain method for Dirichlet problem and applications
- A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
- A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
- Local mass conservation of Stokes finite elements
- 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
- Higher-order time-stepping schemes for fluid-structure interaction problems
- On the existence and the uniqueness of the solution to a fluid-structure interaction problem
- On a fictitious domain method with distributed Lagrange multiplier for interface problems
- Mixed formulation for interface problems with distributed Lagrange multiplier
- Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures
- Added-mass effect in the design of partitioned algorithms for fluid--structure problems
- Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
- The immersed boundary method
- The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier
- Chute libre d’un solide dans un fluide visqueux incompressible. existence
- Existence of solutions for the equations
- Existence for an Unsteady Fluid-Structure Interaction Problem
- On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
- Mixed Finite Element Methods and Applications
- Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure
- NUMERICAL STABILITY OF THE FINITE ELEMENT IMMERSED BOUNDARY METHOD
- A distributed Lagrange multiplier/fictitious domain method for particulate flows
- An arbitrary Lagrangian-Eulerian computing method for all flow speeds
- Weak solutions for a fluid-elastic structure interaction model
This page was built for publication: Existence, uniqueness, and approximation of a fictitious domain formulation for fluid-structure interactions
