Stability and error analysis of a splitting method using Robin–Robin coupling applied to a fluid–structure interaction problem
DOI10.1002/num.22840arXiv1911.06760OpenAlexW3201156248MaRDI QIDQ6089129
Johnny Guzmán, Rebecca Durst, Erik Burman
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.06760
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) 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 difference methods applied to problems in solid mechanics (74S20) 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)
Cites Work
- Fully decoupled time-marching schemes for incompressible fluid/thin-walled structure interaction
- A mixed problem of linear elastodynamics
- Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility
- Fluid-structure partitioned procedures based on Robin transmission conditions
- A fully decoupled scheme for the interaction of a thin-walled structure with an incompressible fluid
- Nitsche's method combined with space-time finite elements for ALE fluid-structure interaction problems
- Added-mass effect in the design of partitioned algorithms for fluid--structure problems
- On a mixed problem for hyperbolic equations with discontinuous boundary conditions
- Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction
- Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling
- Generalized Robin-Neumann explicit coupling schemes for incompressible fluid-structure interaction: Stability analysis and numerics
- A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
- Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
- Convergence and error analysis for a class of splitting schemes in incompressible fluid–structure interaction
- A modular, operator‐splitting scheme for fluid–structure interaction problems with thick structures
- A SEMI-IMPLICIT APPROACH FOR FLUID-STRUCTURE INTERACTION BASED ON AN ALGEBRAIC FRACTIONAL STEP METHOD
- Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction
This page was built for publication: Stability and error analysis of a splitting method using Robin–Robin coupling applied to a fluid–structure interaction problem
