The numerical computation of singular minimizers in two-dimensional elasticity
type: Item
instance of: scholarly article
title: The numerical computation of singular minimizers in two-dimensional elasticity
zbMATH Open document ID: 0805.73077
author: Pablo V. Negrón-Marrero
author: Octavio Betancourt
published in: Journal of Computational Physics
publication date: 1994-10-17T00:00:00Z
review text: We use a spectral-collocation method for the computation of singular minimizers in two-dimensional elasticity. In particular, we are interested in computing cavitating solutions (those that open a hole at the center) and determining whether or not they are globally stable in the energy sense. We describe the spectral collocation method which is used in conjunction with a Richardson extrapolation iteration and discuss various aspects related to the convergence of the method.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 651887
zbMATH Keywords: spectral-collocation method
zbMATH Keywords: cavitating solutions
zbMATH Keywords: Richardson extrapolation iteration
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: jcph.1994.1136
OpenAlex ID: W1997755356
DOI: 10.1006/JCPH.1994.1136
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description: scientific article; zbMATH DE number 651887