Computation of displacements for nonlinear elastic beam models using monotone iterations
type: Item
instance of: scholarly article
title: Computation of displacements for nonlinear elastic beam models using monotone iterations
zbMATH Open document ID: 0631.73073
DOI: 10.1155/S0161171288000171
author: Philip Korman
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46234
review text: We study displacement of a uniform elastic beam subject to various physically important boundary conditions. Using monotone methods, we discuss stability and instability of solutions. We present computations, which suggest efficiency of monotone methods for fourth order boundary value problems.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 4026963
zbMATH Keywords: maximum principles
zbMATH Keywords: existence
zbMATH Keywords: approximation
zbMATH Keywords: inverse-positive problems
zbMATH Keywords: displacement
zbMATH Keywords: uniform elastic beam
zbMATH Keywords: monotone methods
zbMATH Keywords: stability
zbMATH Keywords: instability of solutions
zbMATH Keywords: fourth order boundary value problems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4026963