New solutions of the Gelfand problem
type: Item
instance of: scholarly article
title: New solutions of the Gelfand problem
zbMATH Open document ID: 1003.65131
DOI: 10.1016/S0022-247X(02)00038-0
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-09-08T00:00:00Z
review text: A computer-assisted method for showing the existence of some non-symmetric solutions to the Bratu-Gelfand problem on non-convex domains in the plane is given based on an enclosure theorem for weak solutions. The numerical procedure involves a finite element discretization and interval methods for solving it.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 65G20
Mathematics Subject Classification ID: 65G40
zbMATH DE Number: 1797499
zbMATH Keywords: Bratu-Gelfand problem
zbMATH Keywords: solution enclosures
zbMATH Keywords: computer-assisted method
zbMATH Keywords: existence
zbMATH Keywords: non-symmetric solutions
zbMATH Keywords: weak solutions
zbMATH Keywords: finite element
zbMATH Keywords: interval methods
author: Michael Plum
author: Christian Wieners
reviewed by: Eugene L. Allgower
describes a project that uses: C-XSC
describes a project that uses: C-XSC 2.0
describes a project that uses: UG
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1797499