A variational finite element method for stationary nonlinear fluid-solid interaction

DOI10.1016/S0021-9991(95)90204-XzbMath0924.76057OpenAlexW2040561228MaRDI QIDQ1903804

Omar Ghattas, Xiao-Gang Li

Publication date: 12 December 1995

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(95)90204-x

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (13)

Domain Decomposition Methods for Sensitivity Analysis of a Nonlinear Aeroelasticity Problem ⋮ First-order system least squares (FOSLS) for coupled fluid-elastic problems ⋮ Shape design optimization of {SPH} fluid-structure interactions considering geometrically exact interfaces ⋮ Finite element analysis of fluid-solid interaction in the metering nip of a metering size press ⋮ An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems. ⋮ Unnamed Item ⋮ Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints ⋮ Linear stability analysis of strongly coupled fluid-structure problems with the arbitrary-Lagrangian-Eulerian method ⋮ The role of elastic flap deformation on fluid mixing in a microchannel ⋮ Goal-oriented error estimation for fluid-structure interaction problems ⋮ Fluid-fluid and -solid interaction problems: variational principles revisited ⋮ A FETI-based domain decomposition technique for time-dependent first-order systems based on a DAE approach ⋮ A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms

Cites Work

• Unnamed Item
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• Unnamed Item
• Ta panta rei. (Everything is flowing)
• Finite element methods with user-controlled meshes for fluid-structure interaction
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
• An introduction to continuum mechanics
• Stability of Finite Elements under Divergence Constraints
• Direct solution of two-dimensional Navier-Stokes equations for static aeroelasticity problems
• A modern course in aeroelasticity.

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