\(\Gamma\)-convergence of external approximations in boundary value problems involving the bi-Laplacian
type: Item
instance of: scholarly article
title: \(\Gamma\)-convergence of external approximations in boundary value problems involving the bi-Laplacian
zbMATH Open document ID: 0998.65111
DOI: 10.1016/S0377-0427(01)00525-8
author: Cesare Davini
published in: Journal of Computational and Applied Mathematics
publication date: 2002-06-24T00:00:00Z
review text: This author gives an analysis of a finite element method for the biharmonic equation on convex planar domains. The basis functions are piecewise linear. He defines a generalized Laplacian for the finite-element approximants, and he shows the \(\Gamma\)-convergence of a functional based on the square of this generalized Laplacian.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 31A30
zbMATH DE Number: 1758426
zbMATH Keywords: biharmonic equation
zbMATH Keywords: nonconforming finite elements
zbMATH Keywords: \(\Gamma\)-convergence
zbMATH Keywords: finite element method
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1758426