Determination of travel directions in path-following methods
type: Item
instance of: scholarly article
title: Determination of travel directions in path-following methods
zbMATH Open document ID: 0819.73073
DOI: 10.1016/0895-7177(95)00030-6
published in: Mathematical and Computer Modelling
publication date: 1995-08-24T00:00:00Z
review text: Determination of the correct travel directions in aspect of continuation methods is discussed. A new criterion used to determine the sign of the loading parameter increment in the predictor phase of the nonconsistent arc-length method has been proposed, which may avoid a misleading travel direction of the continuation method due to inappropriate initial guesses. The new criterion can be incorporated into both direct and iterative solvers, and has proved to be very successful for the test problems considered.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K99
zbMATH DE Number: 751267
zbMATH Keywords: nonlinear static structural problems
zbMATH Keywords: continuation methods
zbMATH Keywords: criterion
zbMATH Keywords: loading parameter increment
zbMATH Keywords: arc-length method
zbMATH Keywords: iterative solvers
author: Y. T. Feng
author: D. Perić
author: D. R. J. Owen
MaRDI profile type: Publication
full work available at URL: 0895-7177(95)00030-6
OpenAlex ID: W2028183202
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description: scientific article; zbMATH DE number 751267