Polynomial extensions of compatible polynomial traces in three dimensions
type: Item
instance of: scholarly article
title: Polynomial extensions of compatible polynomial traces in three dimensions
zbMATH Open document ID: 0826.65097
DOI: 10.1016/S0045-7825(94)80028-6
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1995-11-26T00:00:00Z
review text: The author describes polynomial extensions of compatible polynomial traces on the boundary \(\partial \Omega\) (or on some parts of the boundary) of the cube \(\Omega = (0,1)^3\) to its interior, and shows stability estimates with respect to the corresponding Sobolev space scales. These results are not only of pure theoretical interest but play an important role in the construction of domain decomposition preconditioners as well as in estimating the relative condition number of domain decomposition preconditioners for the so-called \(p\) finite element methods and for spectral finite element methods.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 764278
zbMATH Keywords: spectral methods
zbMATH Keywords: compatible polynomial traces
zbMATH Keywords: stability estimates
zbMATH Keywords: Sobolev space scales
zbMATH Keywords: domain decomposition preconditioners
zbMATH Keywords: condition number
zbMATH Keywords: \(p\) finite element methods
zbMATH Keywords: spectral finite element methods
author: Faker Ben Belgacem
reviewed by: Ulrich Langer
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 764278