Mathematical formulation of fluid-structure interaction problems

DOI10.1051/m2an/1987210202391zbMath0617.73052OpenAlexW2518635540MaRDI QIDQ4728368

Jacqueline Boujot

Publication date: 1987

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193501

zbMATH Keywords

existencefluid-structure interactionspectral problemhydroelasticityself-adjoint compact operatorabstract evolution problemelastoacousticsclosed shell imbedded in an unlimited fluid

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (16)

Convergence analysis and error estimate of finite element method of a nonlinear fluid-structure interaction problem ⋮ Finite element analysis of sloshing and hydroelastic vibrations under gravity ⋮ Conservative load transfer along curved fluid--solid interface with non-matching meshes ⋮ On the study of small oscillations of two fluids occupying a bounded domain of arbitrary form ⋮ Numerical study of the vibrations of an elastic container filled with an inviscid fluid ⋮ Divergence‐free finite elements for the numerical solution of a hydroelastic vibration problem ⋮ Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity ⋮ A decoupling algorithm for fluid-structure interaction problems based on optimization ⋮ Theoretical study and optimization of a fluid-structure interaction problem ⋮ Finite element analysis of compressible and incompressible fluid-solid systems ⋮ A nonconforming finite element method for an acoustic fluid-structure interaction problem ⋮ On Lagrange-Euler formulations for fluid-structure interactions ⋮ Fluid oscillations in an open, flexible container ⋮ The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems ⋮ Analysis of a Fluid-Structure Interaction Problem Recast in an Optimal Control Setting ⋮ Analysis of a nonlinear fluid–structure interaction problem in velocity–displacement formulation

Cites Work

• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
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