Finite element approximation of a semilinear elliptic problem with a singular nonlinearity
type: Item
instance of: scholarly article
title: Finite element approximation of a semilinear elliptic problem with a singular nonlinearity
zbMATH Open document ID: 0930.65121
author: John W. Barrett
author: Mathias Schneider
published in: Numerische Mathematik
publication date: 1999-09-15T00:00:00Z
review text: The \(H^1\) and \(L^\infty\) error bounds for finite element approximation of the equation \[ -\Delta u=cu^{-\nu}, \quad c>0,\;\nu>0 \] are proved. The effect of numerical integration of the nonlinear term is analyzed. Numerical results for one dimension are presented.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 1310651
zbMATH Keywords: semilinear elliptic problem
zbMATH Keywords: singular nonlinearity
zbMATH Keywords: numerical examples
zbMATH Keywords: error bounds
zbMATH Keywords: finite element
MaRDI profile type: Publication
full work available at URL: s002110050410
OpenAlex ID: W2038446080
DOI: 10.1007/S002110050410
description: scientific article; zbMATH DE number 1310651