Error estimates of finite element approximations for a fourth-order differential equation

DOI10.1016/j.camwa.2006.08.019zbMath1134.74050OpenAlexW2008174457WikidataQ115359619 ScholiaQ115359619MaRDI QIDQ2426023

H. Y. Lee, Jun Yong Shin, Mi-Ray Ohm

Publication date: 17 April 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.08.019

zbMATH Keywords

transverse vibrationhinged beampiecewise linear polynomials

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (5)

A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation ⋮ Numerical approximation of a nonlinear fourth-order integro-differential equation by spectral method ⋮ Iterative method for solving a nonlinear fourth order boundary value problem ⋮ Numerical solution of the static beam problem by Bernoulli collocation method ⋮ On the Melan equation for suspension bridges

Cites Work

• Unnamed Item
• Unnamed Item
• Finite element methods for suspension bridge models
• Finite element approximation of a fourth order integro-differential equation
• Finite-element approximation of a fourth-order differential equation
• Exponential attractors for non-autonomous systems: Long-time behaviour of vibrating beams

This page was built for publication: Error estimates of finite element approximations for a fourth-order differential equation