The design and analysis of the generalized finite element method
type: Item
instance of: scholarly article
title: The design and analysis of the generalized finite element method
zbMATH Open document ID: 0983.65127
DOI: 10.1016/S0045-7825(99)00072-9
author: K. Copps
author: Theofanis Strouboulis
author: Ivo Babuška
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2002-04-07T00:00:00Z
review text: This paper gives an overview of the generalized finite element method (GFEM). This method extends the classical FEM by adding special functions which reflect for example singular functions obtained in the neighborhood of a corner point. After a short view on the approximability the authors attach greater importance to explain how to handle the linear dependence of the resulting stiffness matrix and they show how adaptive quadrature algorithms can be included. In several realistic examples they examine the convergence of the GFEM approximation.
reviewed by: N.Herrmann
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 1417866
zbMATH Keywords: finite elements
zbMATH Keywords: partition of unity
zbMATH Keywords: adaptive quadrature algorithms
zbMATH Keywords: hybrid methods
zbMATH Keywords: convergence
describes a project that uses: MA47
describes a project that uses: DECUHR
describes a project that uses: MA27
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1417866