A convergence result for discrete steepest descent in weighted Sobolev spaces
type: Item
instance of: scholarly article
title: A convergence result for discrete steepest descent in weighted Sobolev spaces
zbMATH Open document ID: 0941.65051
DOI: 10.1155/S1085337597000274
published in: Abstract and Applied Analysis
publication date: 1999-11-25T00:00:00Z
full work available at URL: https://eudml.org/doc/48482
full work available at URL: issue-1-2.html
review text: Summary: A convergence result is given for discrete descent based on Sobolev gradients arising from differential equations which may be expressed as quadratic forms. The argument is an extension of the result of \textit{D. G. Luenberger} on Euclidean descent [Introduction to linear and nonlinear programming (1973; Zbl 0571.90051)] and complements the work of \textit{J. W. Neuberger} on Sobolev descent [Lect. Notes Math. 564, 341-349 (1976; Zbl 0341.35016)].
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 47A50
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 1370671
zbMATH Keywords: discrete steepest descent
zbMATH Keywords: weighted Sobolev spaces
zbMATH Keywords: convergence
zbMATH Keywords: Sobolev gradients
zbMATH Keywords: Euclidean descent
zbMATH Keywords: Sobolev descent
author: W. Ted Mahavier
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1370671