Divergence‐free finite elements for the numerical solution of a hydroelastic vibration problem
DOI10.1002/num.22862OpenAlexW4207027336WikidataQ114235155 ScholiaQ114235155MaRDI QIDQ6069502
Rodolfo Rodríguez, Unnamed Author, Ana M. Alonso Rodriguez, Jessika Camaño
Publication date: 16 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22862
PDEs in connection with fluid mechanics (35Q35) Linear elasticity with initial stresses (74B10) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Fast MATLAB assembly of FEM matrices in 2D and 3D: edge elements
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- A finite element solution of an added mass formulation for coupled fluid-solid vibrations
- A graph approach for the construction of high order divergence-free Raviart-Thomas finite elements
- Theory and practice of finite elements.
- Finite element computation of the vibration modes of a fluid-solid system
- Mixed finite element methods and tree-cotree implicit condensation
- Linear stability analysis of strongly coupled fluid-structure problems with the arbitrary-Lagrangian-Eulerian method
- A nonconforming finite element method for an acoustic fluid-structure interaction problem
- Finite element analysis for a pressure-stress formulation of a fluid-structure interaction spectral problem
- Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements
- Decoupling Three-Dimensional Mixed Problems Using Divergence-Free Finite Elements
- Hybrid finite element analysis of fluid-structure systems with coupling on curved interfaces
- Finite elements in computational electromagnetism
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- A Robust Numerical Method for Stokes Equations Based on Divergence-FreeH(div) Finite Element Methods
- Approximation of the vibration modes of a Timoshenko curved rod of arbitrary geometry
- Finite Element Methods for Navier-Stokes Equations
- Mixed and Hybrid Finite Element Methods
- A displacement method for the analysis of vibrations of coupled fluid‐structure systems
- On spectral approximation. Part 2. Error estimates for the Galerkin method
- Finite element analysis of compressible and incompressible fluid-solid systems
- Finite Element Analysis of a Quadratic Eigenvalue Problem Arising in Dissipative Acoustics
- Graphs, spanning trees and divergence-free finite elements in domains of general topology
- The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems
- Mathematical formulation of fluid-structure interaction problems
- Finite Element Methods for Maxwell's Equations
- Finite Element Vibration Analysis of Fluid–Solid Systems without Spurious Modes
- An $hp$ Finite Element Method to Solve a Fluid-Solid Vibration Problem
- Coupled FE–BE method for eigenvalue analysis of elastic structures submerged in an infinite fluid domain
- Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem
- FINITE ELEMENT COMPUTATION OF THREE-DIMENSIONAL ELASTOACOUSTIC VIBRATIONS
- Approximation of a structural acoustic vibration problem by hexahedral finite elements
This page was built for publication: Divergence‐free finite elements for the numerical solution of a hydroelastic vibration problem
