Numerical solution to the linearized model of a clamped-free plate using nonconforming finite elements
DOI10.3934/eect.2023020MaRDI QIDQ6053570
Publication date: 27 September 2023
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
numerical methodplate equationbiharmonic operatornonconforming finite elementclamped-free boundary conditions
Attractors (35B41) Plates (74K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical analysis (65-XX) Boundary value problems for systems of linear higher-order PDEs (35G45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A partially hinged rectangular plate as a model for suspension bridges
- Instability of modes in a partially hinged rectangular plate
- Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions
- Mathematical models for suspension bridges. Nonlinear structural instability
- Long-time dynamics of a hinged-free plate driven by a nonconservative force
- Asymptotic behaviour of the aeroelastic modes for an aircraft wing model in a subsonic air flow
- Exact controllability of nonselfadjoint Euler-Bernoulli beam model via spectral decomposition method
- Von Karman Evolution Equations
- The Bending and Stretching of Plates
- The action of flexible bridges under wind, II: Buffeting theory
- New development in freefem++
- Periodic Solutions and Torsional Instability in a Nonlinear Nonlocal Plate Equation
- Exact controllability of damped coupled Euler–Bernoulli and Timoshenko beam model
This page was built for publication: Numerical solution to the linearized model of a clamped-free plate using nonconforming finite elements
