On an h-type mesh-refinement strategy based on minimization of interpolation errors
type: Item
instance of: scholarly article
title: On an h-type mesh-refinement strategy based on minimization of interpolation errors
zbMATH Open document ID: 0556.73081
DOI: 10.1016/0045-7825(85)90076-3
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1985-01-01T00:00:00Z
review text: An adaptive finite element method is proposed which involves an automatic mesh refinement in areas of the mesh where local errors are determined to exceed a pre-assigned limit. The estimation of local errors is based on interpolation error bounds and extraction formulas for highly accurate estimates of second derivatives. Applications to several two-dimensional model problems are discussed. The results indicate that the method can be very effective for both regular problems and problems with strong singularities.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 3887229
zbMATH Keywords: automatic mesh refinement
zbMATH Keywords: estimation of local errors
zbMATH Keywords: interpolation error bounds
zbMATH Keywords: highly accurate estimates of second derivatives
zbMATH Keywords: two- dimensional model problems
author: Leszek Demkowicz
author: Philippe R. B. Devloo
author: J. Tinsley Oden
MaRDI profile type: Publication
full work available at URL: 0045-7825(85)90076-3
OpenAlex ID: W2068954248
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description: scientific article; zbMATH DE number 3887229