\(L^2\)-error estimate for the strongly damped extensible beam equations
type: Item
instance of: scholarly article
title: \(L^2\)-error estimate for the strongly damped extensible beam equations
zbMATH Open document ID: 0965.74061
DOI: 10.1016/S0893-9659(98)00110-4
author: Yanyan Li
published in: Applied Mathematics Letters
publication date: 2000-06-04T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 1369485
zbMATH Keywords: \(L(2)\)-error estimates
zbMATH Keywords: \(H(2)\)-projection
zbMATH Keywords: strongly damped extensible beam equations
zbMATH Keywords: semidiscrete scheme
zbMATH Keywords: fully discrete Galerkin scheme
zbMATH Keywords: Crank-Nicolson mehod
zbMATH Keywords: stability analysis
MaRDI profile type: Publication
cites work: Stability theory for an extensible beam
cites work: Q5794184
cites work: Stability theory for quasi-linear wave equations with linear damping
cites work: Energy convergence results for strongly damped nonlinear wave equations
cites work: Q4330101
cites work: Q4404383
cites work: Q4727360
full work available at URL: s0893-9659(98)00110-4
OpenAlex ID: W1993349688
Recommended article: Limiting behavior of the strongly damped extensible beam equation
Recommended article: Finite difference approximate solutions for the strongly damped extensible beam equations
Recommended article: On uniform decay of solutions for an extensible beam equation with a strong damping
Recommended article: Decay estimates for the Cauchy problem for the damped extensible beam equation
Recommended article: On the asymptotics of some strongly damped beam equations with structural damping
Recommended article: Strong asymptotic stability for a beam equation with weak damping
Recommended article: Asymptotic behavior of strongly damped nonlinear beam equations
Recommended article: Q4330101
Recommended article: On an extensible beam equation with nonlinear damping and source terms
Recommended article: Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms
description: scientific article; zbMATH DE number 1369485