The use of symmetry in bifurcation calculations and its application to the Bénard problem
type: Item
instance of: scholarly article
title: The use of symmetry in bifurcation calculations and its application to the Bénard problem
zbMATH Open document ID: 0609.76037
DOI: 10.1016/0021-9991(86)90265-2
author: K. H. Winters
author: K. A. Cliffe
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: The authors have shown the application of the finite-element method to the solution of bifurcation problems in Bénard convection. They claim that this method is superior to all other methods because the expenses on computer are reduced significantly. Research workers in stability theory will find this paper most useful.
reviewed by: V. M. Soundalgekar
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 35B32
zbMATH DE Number: 3986872
zbMATH Keywords: Werner-spence algorithm
zbMATH Keywords: finite-element method
zbMATH Keywords: bifurcation problems
zbMATH Keywords: Bénard convection
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90265-2
OpenAlex ID: W2006038061
cites work: A numerical study of the cusp catastrophe for Bénard convection in tilted cavities
cites work: Numerical calculations of two-cell and single-cell Taylor flows
cites work: The numerical treatment of non-trivial bifurcation points
cites work: The Computation of Symmetry-Breaking Bifurcation Points
cites work: A finite-element study of the bénard problem using parameter-stepping and bifurcation search
cites work: Q4550962
cites work: Natural convection at very high Rayleigh numbers
cites work: On the onset of free convection in a rectangular channel
description: scientific article; zbMATH DE number 3986872